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Aharonov-Bohm effect,point-like magnetic field, scattering
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cleartomark

%%EndFont 
%%BeginFont: CMTI10
%!PS-AdobeFont-1.1: CMTI10 1.00B
%%CreationDate: 1992 Feb 19 19:56:16

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 45 /hyphen put
dup 69 /E put
dup 97 /a put
dup 100 /d put
dup 101 /e put
dup 105 /i put
dup 108 /l put
dup 109 /m put
dup 114 /r put
dup 115 /s put
readonly def
/FontBBox{-163 -250 1146 969}readonly def
/UniqueID 5000828 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMR10
%!PS-AdobeFont-1.1: CMR10 1.00B
%%CreationDate: 1992 Feb 19 19:54:52

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.00B) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 44 /comma put
dup 48 /zero put
dup 51 /three put
dup 53 /five put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 74 /J put
dup 77 /M put
dup 79 /O put
dup 83 /S put
dup 85 /U put
dup 97 /a put
dup 99 /c put
dup 101 /e put
dup 102 /f put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 121 /y put
dup 123 /endash put
readonly def
/FontBBox{-251 -250 1009 969}readonly def
/UniqueID 5000793 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMSY6
%!PS-AdobeFont-1.1: CMSY6 1.0
%%CreationDate: 1991 Aug 15 07:21:34

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 48 /prime put
readonly def
/FontBBox{-4 -948 1329 786}readonly def
/UniqueID 5000816 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: LASY10
%!PS-AdobeFont-1.1: LASY10 1.00
%%CreationDate: 1992 Oct 23 20:19:17

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (LASY10) readonly def
/FamilyName (LaTeX) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /LASY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 50 /a50 put
readonly def
/FontBBox{-19 -192 944 683}readonly def
/UniqueID 5011949 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMR6
%!PS-AdobeFont-1.1: CMR6 1.0
%%CreationDate: 1991 Aug 20 16:39:02

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 49 /one put
dup 50 /two put
dup 51 /three put
readonly def
/FontBBox{-20 -250 1193 750}readonly def
/UniqueID 5000789 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMMI6
%!PS-AdobeFont-1.1: CMMI6 1.100
%%CreationDate: 1996 Jul 23 07:53:52

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI6) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI6 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 97 /a put
dup 98 /b put
dup 100 /d put
dup 106 /j put
dup 109 /m put
readonly def
/FontBBox{11 -250 1241 750}readonly def
/UniqueID 5087381 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMSY8
%!PS-AdobeFont-1.1: CMSY8 1.0
%%CreationDate: 1991 Aug 15 07:22:10

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 1 /periodcentered put
dup 2 /multiply put
dup 3 /asteriskmath put
dup 6 /plusminus put
dup 7 /minusplus put
dup 33 /arrowright put
dup 35 /arrowdown put
dup 48 /prime put
dup 49 /infinity put
dup 50 /element put
dup 54 /negationslash put
dup 106 /bar put
dup 112 /radical put
readonly def
/FontBBox{-30 -955 1185 779}readonly def
/UniqueID 5000818 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMMI8
%!PS-AdobeFont-1.1: CMMI8 1.100
%%CreationDate: 1996 Jul 23 07:53:54

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /alpha put
dup 12 /beta put
dup 13 /gamma put
dup 18 /theta put
dup 20 /kappa put
dup 21 /lambda put
dup 22 /mu put
dup 23 /nu put
dup 24 /xi put
dup 25 /pi put
dup 26 /rho put
dup 27 /sigma put
dup 32 /psi put
dup 33 /omega put
dup 34 /epsilon put
dup 59 /comma put
dup 61 /slash put
dup 69 /E put
dup 76 /L put
dup 78 /N put
dup 90 /Z put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 113 /q put
dup 115 /s put
dup 116 /t put
dup 120 /x put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-24 -250 1110 750}readonly def
/UniqueID 5087383 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMEX10
%!PS-AdobeFont-1.1: CMEX10 1.00
%%CreationDate: 1992 Jul 23 21:22:48

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.00) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMEX10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMEX10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 16 /parenleftBig put
dup 17 /parenrightBig put
dup 18 /parenleftbigg put
dup 19 /parenrightbigg put
dup 80 /summationtext put
dup 81 /producttext put
dup 88 /summationdisplay put
dup 90 /integraldisplay put
dup 98 /hatwide put
dup 100 /hatwidest put
readonly def
/FontBBox{-24 -2960 1454 772}readonly def
/UniqueID 5000774 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMSY10
%!PS-AdobeFont-1.1: CMSY10 1.0
%%CreationDate: 1991 Aug 15 07:20:57

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMSY10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.035 def
/isFixedPitch false def
end readonly def
/FontName /CMSY10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /minus put
dup 1 /periodcentered put
dup 2 /multiply put
dup 6 /plusminus put
dup 7 /minusplus put
dup 8 /circleplus put
dup 20 /lessequal put
dup 21 /greaterequal put
dup 24 /similar put
dup 26 /propersubset put
dup 28 /lessmuch put
dup 29 /greatermuch put
dup 33 /arrowright put
dup 39 /similarequal put
dup 49 /infinity put
dup 50 /element put
dup 54 /negationslash put
dup 68 /D put
dup 91 /union put
dup 92 /intersection put
dup 102 /braceleft put
dup 103 /braceright put
dup 104 /angbracketleft put
dup 105 /angbracketright put
dup 106 /bar put
dup 107 /bardbl put
dup 110 /backslash put
dup 112 /radical put
dup 114 /nabla put
readonly def
/FontBBox{-29 -960 1116 775}readonly def
/UniqueID 5000820 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMMI12
%!PS-AdobeFont-1.1: CMMI12 1.100
%%CreationDate: 1996 Jul 27 08:57:55

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /alpha put
dup 12 /beta put
dup 13 /gamma put
dup 14 /delta put
dup 16 /zeta put
dup 17 /eta put
dup 18 /theta put
dup 21 /lambda put
dup 22 /mu put
dup 23 /nu put
dup 24 /xi put
dup 25 /pi put
dup 26 /rho put
dup 27 /sigma put
dup 28 /tau put
dup 31 /chi put
dup 32 /psi put
dup 33 /omega put
dup 34 /epsilon put
dup 39 /phi1 put
dup 58 /period put
dup 59 /comma put
dup 60 /less put
dup 61 /slash put
dup 62 /greater put
dup 64 /partialdiff put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 90 /Z put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
readonly def
/FontBBox{-30 -250 1026 750}readonly def
/UniqueID 5087386 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMR8
%!PS-AdobeFont-1.1: CMR8 1.0
%%CreationDate: 1991 Aug 20 16:39:40

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR8) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR8 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 54 /six put
dup 59 /semicolon put
dup 61 /equal put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 99 /c put
dup 126 /tilde put
readonly def
/FontBBox{-36 -250 1070 750}readonly def
/UniqueID 5000791 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMMIB10
%!PS-AdobeFont-1.1: CMMIB10 1.100
%%CreationDate: 1996 Jul 23 07:54:00

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.100) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMMIB10) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMMIB10 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 82 /R put
dup 90 /Z put
readonly def
/FontBBox{-15 -250 1216 750}readonly def
/UniqueID 5087392 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMTI12
%!PS-AdobeFont-1.1: CMTI12 1.0
%%CreationDate: 1991 Aug 18 21:06:53

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMTI12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle -14.04 def
/isFixedPitch false def
end readonly def
/FontName /CMTI12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /ff put
dup 12 /fi put
dup 19 /acute put
dup 44 /comma put
dup 46 /period put
dup 49 /one put
dup 52 /four put
dup 58 /colon put
dup 65 /A put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 72 /H put
dup 73 /I put
dup 74 /J put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 80 /P put
dup 81 /Q put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 85 /U put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 123 /endash put
readonly def
/FontBBox{-36 -251 1103 750}readonly def
/UniqueID 5000829 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMR12
%!PS-AdobeFont-1.1: CMR12 1.0
%%CreationDate: 1991 Aug 20 16:38:05

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMR12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Medium) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMR12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 0 /Gamma put
dup 1 /Delta put
dup 5 /Pi put
dup 6 /Sigma put
dup 11 /ff put
dup 12 /fi put
dup 13 /fl put
dup 14 /ffi put
dup 22 /macron put
dup 40 /parenleft put
dup 41 /parenright put
dup 43 /plus put
dup 44 /comma put
dup 45 /hyphen put
dup 46 /period put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 56 /eight put
dup 57 /nine put
dup 58 /colon put
dup 59 /semicolon put
dup 61 /equal put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 68 /D put
dup 69 /E put
dup 70 /F put
dup 71 /G put
dup 72 /H put
dup 73 /I put
dup 75 /K put
dup 76 /L put
dup 77 /M put
dup 78 /N put
dup 79 /O put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 86 /V put
dup 87 /W put
dup 88 /X put
dup 89 /Y put
dup 91 /bracketleft put
dup 93 /bracketright put
dup 94 /circumflex put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 106 /j put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 113 /q put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 119 /w put
dup 120 /x put
dup 121 /y put
dup 122 /z put
dup 123 /endash put
dup 126 /tilde put
dup 127 /dieresis put
readonly def
/FontBBox{-34 -251 988 750}readonly def
/UniqueID 5000794 def
currentdict end
currentfile eexec
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cleartomark

%%EndFont 
%%BeginFont: CMBX12
%!PS-AdobeFont-1.1: CMBX12 1.0
%%CreationDate: 1991 Aug 20 16:34:54

% Copyright (C) 1997 American Mathematical Society.  All Rights Reserved.

11 dict begin
/FontInfo 7 dict dup begin
/version (1.0) readonly def
/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
/FullName (CMBX12) readonly def
/FamilyName (Computer Modern) readonly def
/Weight (Bold) readonly def
/ItalicAngle 0 def
/isFixedPitch false def
end readonly def
/FontName /CMBX12 def
/PaintType 0 def
/FontType 1 def
/FontMatrix [0.001 0 0 0.001 0 0] readonly def
/Encoding 256 array
0 1 255 {1 index exch /.notdef put} for
dup 11 /ff put
dup 12 /fi put
dup 46 /period put
dup 48 /zero put
dup 49 /one put
dup 50 /two put
dup 51 /three put
dup 52 /four put
dup 53 /five put
dup 54 /six put
dup 55 /seven put
dup 57 /nine put
dup 58 /colon put
dup 65 /A put
dup 66 /B put
dup 67 /C put
dup 69 /E put
dup 70 /F put
dup 73 /I put
dup 76 /L put
dup 77 /M put
dup 80 /P put
dup 82 /R put
dup 83 /S put
dup 84 /T put
dup 97 /a put
dup 98 /b put
dup 99 /c put
dup 100 /d put
dup 101 /e put
dup 102 /f put
dup 103 /g put
dup 104 /h put
dup 105 /i put
dup 107 /k put
dup 108 /l put
dup 109 /m put
dup 110 /n put
dup 111 /o put
dup 112 /p put
dup 114 /r put
dup 115 /s put
dup 116 /t put
dup 117 /u put
dup 118 /v put
dup 120 /x put
dup 121 /y put
dup 123 /endash put
readonly def
/FontBBox{-53 -251 1139 750}readonly def
/UniqueID 5000769 def
currentdict end
currentfile eexec
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TeXDict begin 39158280 55380996 1000 600 600 (ABeffct-mp.dvi)
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46 2[ 46 27[ 62 23[ 33 45[{ } 10 90.9091 /CMTI10 rf /Fc
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5753 y(2) p 90 rotate dyy eop
%%Page: 3 3
3 2 bop Fp 146 407 a(W) p 238 407 a(e) p 304 407 a(mo) m(v) m(e) p
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%%Page: 4 4
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eop
%%Page: 5 5
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a(;) p Fp 3294 5504 a(\(1.12\)) 1747 5753 y(5) p 90 rotate
dyy eop
%%Page: 6 6
6 5 bop Fp 0 407 a(with) p Fl 222 407 a(C) p 327 407
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2602 1749 a(scattering) p 3053 1749 a(amplitude) p Fl
923 2021 a(f) p Fi 971 2036 a(d) p Fp 1011 2021 a(\() p
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2718 3271 a(estimate) p 3109 3271 a(\(1.13\).) p Fq 146
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2949 3840 a(is) p 3042 3840 a(to) p 3155 3840 a(represen) m(t) 0
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a(e) p 323 4126 a(b) s(egin) p 595 4126 a(b) m(y) p 739
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2568 5504 a(!) p Fl 2695 5504 a(L) p Fm 2761 5463 a(2) p
Fp 1747 5753 a(6) p 90 rotate dyy eop
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7 6 bop Fp 0 407 a(can) p 179 407 a(b) s(e) p 312 407
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Fp 752 1999 a(\() p Fl(\025) p Fp(;) p Fl 891 1999 a(H) p
Fi 972 2014 a(\013) p Fl 1021 1999 a(;) p 1065 1999 a(H) p
Fm 1146 2014 a(0) p Fp 1185 1999 a(\)\() p Fl(F) p 1338
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2109 1999 a(S) p Fp 2175 1999 a(\() p Fl(H) p Fi 2294
2014 a(\013) p Fl 2343 1999 a(;) p 2387 1999 a(H) p Fm
2468 2014 a(0) p Fp 2507 1999 a(\)) p Fl(u) p Fp(\)) p
2655 1999 a(\() p Fl(\025;) p 2794 1999 a(!) p Fp 2859
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2294 a(scattering) p 2341 2294 a(from) p 2577 2294 a(initial) p
2864 2294 a(direction) p Fl 3276 2294 a(!) p Fp 3378
2294 a(in) m(to) 0 2415 y(\014nal) p 217 2415 a(one) p
403 2415 a(~) p Fl 396 2415 a(!) p Fp 492 2415 a(at) p
612 2415 a(energy) p Fl 923 2415 a(E) p 1029 2415 a(>) p
Fp 1133 2415 a(0) p 1214 2415 a(is) p 1312 2415 a(de\014ned) p
1648 2415 a(b) m(y) p Fl 763 2590 a(f) p Fi 811 2605
a(\013) p Fp 861 2590 a(\() p Fl(!) p Fk 991 2590 a(!) p
Fp 1126 2590 a(~) p Fl 1118 2590 a(!) p Fp 1183 2590
a(;) p Fl 1227 2590 a(E) p Fp 1305 2590 a(\)) p 1370
2590 a(=) p Fl 1473 2590 a(c) p Fp(\() p Fl(E) p Fp 1631
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1980 2590 a(!) p Fp 2045 2590 a(;) p Fl 2089 2590 a(E) p
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a(\016) p Fp 2372 2590 a(\() p 2418 2590 a(~) p Fl 2410
2590 a(!) p Fk 2496 2590 a(\000) p Fl 2596 2590 a(!) p
Fp 2661 2590 a(\)\)) p Fl 2753 2590 a(;) p Fp 3343 2590
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a(\(2) p Fl(\031) t(=i) p Fk 856 2681 a(p) p 938 2681
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2729 a(1) p Fi(=) p Fm(2) p Fp 1164 2765 a(.) p 1247
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Fi 1965 2780 a(\013) p Fp 2015 2765 a(\() p Fl(!) p Fk
2152 2765 a(!) p Fp 2294 2765 a(~) p Fl 2286 2765 a(!) p
Fp 2351 2765 a(;) p Fl 2395 2765 a(E) p Fp 2473 2765
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2765 a(explicitly) p 3294 2765 a(calcu-) 0 2886 y(lated) p
246 2886 a(and) p 438 2886 a(it) p 538 2886 a(is) p 638
2886 a(represen) m(ted) p 1159 2886 a(as) p 1281 2886
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2142 2886 a(the) p 2312 2886 a(co) s(ordinates) p 2832
2886 a(o) m(v) m(er) p Fl 3043 2886 a(S) p Fm 3109 2849
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921 3006 a(the) p 1096 3006 a(p) s(ositiv) m(e) p Fl
1463 3006 a(x) p Fm 1518 3021 a(1) p Fp 1598 3006 a(axis.) p
1854 3006 a(By) p 2014 3006 a(\(1.11\),) p 2332 3006
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3247 a(L) p Fm 466 3211 a(2) p Fi 466 3271 a(s) p Fp
505 3247 a(\() p Fn(R) p Fm 631 3205 a(2) p Fp 670 3247
a(\)) p 741 3247 a(in) m(to) p Fl 939 3247 a(L) p Fm
1005 3211 a(2) p Fh 1005 3271 a(\000) p Fi(s) p Fp 1097
3247 a(\() p Fn(R) p Fm 1222 3205 a(2) p Fp 1262 3247
a(\)) p 1332 3247 a(for) p Fl 1482 3247 a(s) p 1556 3247
a(>) p Fp 1660 3247 a(1) p Fl(=) p Fp(2.) p 1877 3247
a(W) p 1969 3247 a(e) p 2046 3247 a(represen) m(t) p
Fl 2466 3247 a(f) p Fi 2514 3262 a(\013) p Fp 2564 3247
a(\() p Fl(!) p Fk 2694 3247 a(!) p Fp 2830 3247 a(~) p
Fl 2822 3247 a(!) p Fp 2886 3247 a(;) p Fl 2930 3247
a(E) p Fp 3008 3247 a(\)) p 3079 3247 a(in) p 3193 3247
a(terms) p 3465 3247 a(of) 0 3367 y(resolv) m(en) m(t) p
Fl 410 3367 a(R) p Fp 485 3367 a(\() p Fl(E) p Fp 623
3367 a(+) p Fl 721 3367 a(i) p Fp(0;) p Fl 847 3367 a(H) p
Fi 928 3382 a(\013) p Fp 977 3367 a(\).) 146 3524 y(Let) p
Fl 321 3524 a(\037) p Fk 410 3524 a(2) p Fl 504 3524
a(C) p Fh 581 3488 a(1) p Fm 574 3549 a(0) p Fp 656 3524
a([0) p Fl(;) p Fk 776 3524 a(1) p Fp(\)) p 945 3524
a(b) s(e) p 1078 3524 a(a) p 1159 3524 a(smo) s(oth) p
1504 3524 a(cut{o\013) p 1826 3524 a(function) p 2209
3524 a(suc) m(h) p 2429 3524 a(that) p Fl 2640 3524 a(\037) p
Fp(\() p Fl(s) p Fp(\)) p Fk 2851 3524 a(\025) p Fp 2956
3524 a(0) p 3037 3524 a(and) p Fl 698 3700 a(\037) p
Fp(\() p Fl(s) p Fp(\)) p 908 3700 a(=) p 1012 3700 a(1) p
1158 3700 a(for) p 1321 3700 a(0) p Fk 1398 3700 a(\024) p
Fl 1503 3700 a(s) p Fk 1576 3700 a(\024) p Fp 1682 3700
a(1) p Fl(;) p 1969 3700 a(\037) p Fp(\() p Fl(s) p Fp(\)) p
2180 3700 a(=) p 2283 3700 a(0) p 2430 3700 a(for) p
Fl 2593 3700 a(s) p 2666 3700 a(>) p Fp 2770 3700 a(2) p
Fl(:) p Fp 3343 3700 a(\(2.3\)) 0 3875 y(W) p 92 3875
a(e) p 168 3875 a(no) m(w) p 371 3875 a(\014x) p 509
3875 a(energy) p Fl 821 3875 a(E) p 927 3875 a(>) p Fp
1030 3875 a(0) p 1112 3875 a(and) p 1301 3875 a(initial) p
1583 3875 a(direction) p Fl 1990 3875 a(!) p Fk 2082
3875 a(2) p Fl 2176 3875 a(S) p Fm 2242 3839 a(1) p Fp
2281 3875 a(.) p 2351 3875 a(W) p 2443 3875 a(e) p 2519
3875 a(de\014ne) p Fl 1253 4050 a(\014) p Fp 1314 4050
a(\() p Fl(\030) p Fp 1400 4050 a(\)) p 1465 4050 a(=) p
Fl 1568 4050 a(\037) p Fp(\() p Fk(j) p Fl(\030) p Fk
1764 4050 a(\000) 1864 3961 y(p) p 1947 3961 V Fl 1947
4050 a(E) p 2025 4050 a(!) p Fk 2090 4050 a(j) p Fl(=\016) p
Fm 2214 4009 a(2) p Fp 2252 4050 a(\)) 0 4225 y(for) p
Fl 161 4225 a(\016) n(;) p Fp 291 4225 a(0) p Fl 388
4225 a(<) p 513 4225 a(\016) p Fk 608 4225 a(\034) p
Fp 756 4225 a(1,) p 880 4225 a(small) p 1147 4225 a(enough.) p
1558 4225 a(W) p 1650 4225 a(e) p 1738 4225 a(further) p
2078 4225 a(tak) m(e) p 2302 4225 a(a) p 2395 4225 a(nonnegativ) m(e) p
2949 4225 a(function) p Fl 3344 4225 a(e) p Fm 3389 4240
a(0) p Fk 3477 4225 a(2) p Fl 0 4346 a(C) p Fh 77 4309
a(1) p Fp 152 4346 a(\() p Fn(R) p Fm 277 4303 a(2) p
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4521 y(supp) p Fl 940 4521 a(e) p Fm 985 4536 a(0) p
Fk 1052 4521 a(\032) p Fp 1157 4521 a(\006\() p Fl(R) q(;) p
1384 4521 a(!) t(;) p 1493 4521 a(\016) p Fp 1540 4521
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Fp 1928 4521 a(=) p 2032 4521 a(1) p 2127 4521 a(on) p
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Fp 2662 4521 a(2) p Fl(\016) p Fp 2758 4521 a(\)) p Fl(;) p
Fp 3343 4521 a(\(2.4\)) 0 4696 y(and) p Fl 190 4696 a(@) p
Fi 246 4660 a(\014) 241 4721 y(x) p Fl 294 4696 a(e) p
Fm 339 4711 a(0) p Fp 378 4696 a(\() p Fl(x) p Fp(\)) p
537 4696 a(=) p Fl 641 4696 a(O) p Fp 719 4696 a(\() p
Fk(j) p Fl(x) p Fk(j) p Fh 868 4660 a(\000j) p Fi(\014) p
Fh 986 4660 a(j) p Fp 1008 4696 a(\)) p 1079 4696 a(at) p
1198 4696 a(in\014nit) m(y) p 1492 4696 a(,) p 1553 4696
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2639 4871 a(>) p Fp 2743 4871 a(0) p Fl(:) p Fp 3343
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Fk(j) p Fm 2763 5010 a(2) p Fl 2802 5046 a(;) p 2846
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144 5167 a(ha) m(v) m(e) 547 5287 y(exp) q(\() p Fk(\000) p
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Fl 1100 5287 a(!) p Fp 1165 5287 a(\)\)) p Fl(H) p Fi
1322 5302 a(\013) p Fp 1387 5287 a(exp) q(\() p Fl(i\013) q(\015) p
Fp 1726 5287 a(\() p Fl(x) p Fp(;) p Fl 1863 5287 a(!) p
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a(H) p Fp 2224 5287 a(\() p Fl(A) p Fi 2335 5302 a(\013) p
Fk 2406 5287 a(\000) p Fl 2506 5287 a(\013) p Fk 2569
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5287 a(\(2.6\)) 0 5442 y(on) p 135 5442 a(\006\() p Fl(R) q(;) p
362 5442 a(!) t(;) p 471 5442 a(\016) p Fp 518 5442 a(\).) p
626 5442 a(The) p 827 5442 a(next) p 1046 5442 a(lemma) p
1360 5442 a(is) p 1458 5442 a(w) m(ell) p 1656 5442 a(kno) m(wn) p
1965 5442 a(\([10,) p 2187 5442 a(Theorem) p 2599 5442
a(IX.31]\).) 1747 5753 y(7) p 90 rotate dyy eop
%%Page: 8 8
8 7 bop Fq 0 407 a(Lemma) p 397 407 a(2.1) p Fo 589 407
a(L) p 645 407 a(et) p Fl 757 407 a(f) p Fk 844 407 a(2) p
Fl 938 407 a(L) p Fm 1004 371 a(2) p Fo 1044 407 a(.) p
1118 407 a(Then) p 1372 407 a(the) p 1534 407 a(fr) p
1600 407 a(e) p 1640 407 a(e) p 1720 407 a(solution) p
Fp 2088 407 a(exp) q(\() p Fk(\000) p Fl(itH) p Fm 2501
422 a(0) p Fp 2542 407 a(\)) p Fl(f) p Fo 2673 407 a(b) p
2713 407 a(ehaves) p 3022 407 a(like) p Fp 340 611 a(\(exp) q(\() p
Fk(\000) p Fl(itH) p Fm 791 626 a(0) p Fp 831 611 a(\)) p
Fl(f) p Fp 928 611 a(\)\() p Fl(x) p Fp(\)) p 1125 611
a(=) p 1228 611 a(\(2) p Fl(it) p Fp(\)) p Fh 1421 569
a(\000) p Fm(1) p Fp 1532 611 a(exp) q(\() p Fl(i) p
Fk(j) p Fl(x) p Fk(j) p Fm 1863 569 a(2) p Fl 1903 611
a(=) p Fp(4) p Fl(t) p Fp(\)) p Fj 2096 577 a(b) p Fl
2074 611 a(f) p Fp 2132 611 a(\() p Fl(x=) p Fp(2) p
Fl(t) p Fp(\)) p 2418 611 a(+) p Fl 2516 611 a(o) p Fp(\(1\)) p
Fl(;) p Fk 2831 611 a(j) p Fl(t) p Fk(j) p 2949 611 a(!) p
3077 611 a(1) p Fl(;) p Fo 0 844 a(in) p Fl 120 844 a(L) p
Fm 186 808 a(2) p Fo 225 844 a(,) p 290 844 a(wher) p
486 844 a(e) p Fj 588 811 a(b) p Fl 565 844 a(f) p Fp
624 844 a(\() p Fl(\030) p Fp 710 844 a(\)) p 775 844
a(=) p 879 844 a(\(2) p Fl(\031) p Fp 1025 844 a(\)) p
Fh 1063 803 a(\000) p Fm(1) p Fj 1173 727 a(Z) p Fl 1273
844 a(e) p Fh 1318 803 a(\000) p Fi(ix) p Fh(\001) p
Fi(\030) p Fl 1494 844 a(f) p Fp 1553 844 a(\() p Fl(x) p
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844 a(the) p 2108 844 a(F) p 2165 844 a(ourier) p 2458
844 a(tr) p 2526 844 a(ansform.) p Fp 146 1129 a(W) p
238 1129 a(e) p 314 1129 a(in) m(tro) s(duce) p 748 1129
a(the) p 916 1129 a(new) p 1116 1129 a(notation.) p 1545
1129 a(W) p 1637 1129 a(e) p 1712 1129 a(write) p Fl
1962 1129 a(W) p Fh 2054 1144 a(\006) p Fp 2113 1129
a(\() p Fl(K) p Fm 2234 1144 a(2) p Fl 2273 1129 a(;) p
2317 1129 a(K) p Fm 2400 1144 a(1) p Fp 2439 1129 a(;) p
Fl 2483 1129 a(J) p Fp 2546 1129 a(\)) p 2617 1129 a(for) p
2766 1129 a(the) p 2934 1129 a(limit) p Fl 684 1333 a(W) p
Fh 776 1348 a(\006) p Fp 835 1333 a(\() p Fl(K) p Fm
956 1348 a(2) p Fl 995 1333 a(;) p 1039 1333 a(K) p Fm
1122 1348 a(1) p Fp 1162 1333 a(;) p Fl 1206 1333 a(J) p
Fp 1269 1333 a(\)) p 1334 1333 a(=) p Fl 1438 1333 a(s) p
Fk 1506 1333 a(\000) p Fp 1648 1333 a(lim) p Fi 1605
1388 a(t) p Fh(!\0061) p Fp 1843 1333 a(exp) q(\() p
Fl(itK) p Fm 2181 1348 a(2) p Fp 2221 1333 a(\)) p Fl(J) p
Fp 2339 1333 a(exp) q(\() p Fk(\000) p Fl(itK) p Fm 2754
1348 a(1) p Fp 2794 1333 a(\)) p Fl(;) p Fp 0 1574 a(where) p
Fl 287 1574 a(K) p Fi 370 1589 a(j) p Fl 407 1574 a(;) p
488 1574 a(j) p Fp 570 1574 a(=) p 683 1574 a(1) p Fl(;) p
Fp 776 1574 a(2,) p 890 1574 a(are) p 1058 1574 a(self{adjoin) m(t) p
1581 1574 a(in) p Fl 1700 1574 a(L) p Fm 1766 1537 a(2) p
Fp 1844 1574 a(and) p Fl 2039 1574 a(J) p Fp 2139 1574
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1574 a(!) p Fl 2481 1574 a(L) p Fm 2547 1537 a(2) p Fp
2624 1574 a(is) p 2728 1574 a(b) s(ounded.) p 3179 1574
a(Let) p Fl 3359 1574 a(\014) p Fp 3420 1574 a(\() p
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1694 a(e) p Fm 235 1709 a(0) p Fp 274 1694 a(\() p Fl(x) p
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Fl 1336 1694 a(J) p Fp 1427 1694 a(=) p Fl 1531 1694
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a(\014) p Fm 1676 1658 a(2) p Fp 1748 1694 a(with) p
Fl 1970 1694 a(\014) p Fp 2058 1694 a(=) p Fl 2162 1694
a(\014) p Fp 2223 1694 a(\() p Fl(D) p Fi 2342 1709 a(x) p
Fp 2385 1694 a(\).) p 2494 1694 a(Then) p Fl 1081 1898
a(W) p Fh 1173 1913 a(\000) p Fp 1232 1898 a(\() p Fl(H) p
Fi 1351 1913 a(\013) p Fl 1401 1898 a(;) p 1445 1898
a(H) p Fm 1526 1913 a(0) p Fp 1565 1898 a(\)) p Fl(\014) p
Fm 1664 1857 a(2) p Fp 1730 1898 a(=) p Fl 1834 1898
a(W) p Fh 1926 1913 a(\000) p Fp 1985 1898 a(\() p Fl(H) p
Fi 2104 1913 a(\013) p Fl 2153 1898 a(;) p 2197 1898
a(H) p Fm 2278 1913 a(0) p Fp 2317 1898 a(;) p Fl 2361
1898 a(J) p Fp 2424 1898 a(\)) 0 2101 y(b) m(y) p 135
2101 a(Lemma) p 484 2101 a(2.1,) p 668 2101 a(and) p
858 2101 a(hence) p 1129 2101 a(w) m(e) p 1272 2101 a(ha) m(v) m(e) p
1497 2101 a(the) p 1665 2101 a(decomp) s(osition) p Fl
709 2305 a(W) p Fh 801 2320 a(\000) p Fp 860 2305 a(\() p
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a(J) p Fh 2711 3784 a(\000) p Fp 2769 3769 a(\)) p Fl(:) p
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Fp 513 4176 a(\() p Fl(H) p Fi 632 4191 a(\013) p Fl
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Fh 2344 4191 a(\000) p Fp 2403 4176 a(\() p Fl(H) p Fm
2522 4191 a(0) p Fl 2561 4176 a(;) p 2605 4176 a(H) p
Fm 2686 4191 a(0) p Fp 2725 4176 a(;) p Fl 2769 4176
a(J) p Fh 2823 4191 a(\000) p Fp 2882 4176 a(\)) p Fl(;) p
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Fm 669 4406 a(0) p Fp 708 4391 a(\)) p 773 4391 a(=) p
Fl 877 4391 a(W) p Fh 983 4355 a(\003) p Fm 969 4415
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Fl 1196 4391 a(;) p 1240 4391 a(H) p Fm 1321 4406 a(0) p
Fp 1360 4391 a(;) 1427 4366 y(~) p Fl 1404 4391 a(J) p
Fm 1458 4406 a(+) p Fp 1517 4391 a(\)) p Fl(W) p Fh 1647
4406 a(\000) p Fp 1706 4391 a(\() p Fl(H) p Fi 1825 4406
a(\013) p Fl 1874 4391 a(;) p 1918 4391 a(H) p Fm 1999
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2496 4391 a(op) s(erator) p Fl 2884 4391 a(S) p Fm 2944
4406 a(0) p Fp 2983 4391 a(\() p Fl(H) p Fi 3102 4406
a(\013) p Fl 3151 4391 a(;) p 3195 4391 a(H) p Fm 3276
4406 a(0) p Fp 3315 4391 a(\)) p 3380 4391 a(also) 0
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614 4511 a(in) m(tegral) p 968 4511 a(decomp) s(osition,) p
1637 4511 a(b) s(ecause) p 1996 4511 a(it) p 2092 4511
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3053 4511 a(e) p 3127 4511 a(denote) p 3440 4511 a(b) m(y) p
Fl 0 4631 a(S) p Fm 60 4646 a(0) p Fp 99 4631 a(\() p
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4631 a(\022) p Fp 301 4631 a(;) p Fl 345 4631 a(\025) p
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4631 a(of) p 1080 4631 a(\014bre) p Fl 1313 4631 a(S) p
Fm 1373 4646 a(0) p Fp 1413 4631 a(\() p Fl(\025) p Fp(;) p
Fl 1552 4631 a(H) p Fi 1633 4646 a(\013) p Fl 1682 4631
a(;) p 1726 4631 a(H) p Fm 1807 4646 a(0) p Fp 1846 4631
a(\)) p 1929 4631 a(:) p Fl 2002 4631 a(L) p Fm 2068
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a(1) p Fp 2251 4631 a(\)) p Fk 2335 4631 a(!) p Fl 2480
4631 a(L) p Fm 2546 4595 a(2) p Fp 2586 4631 a(\() p
Fl(S) p Fm 2690 4595 a(1) p Fp 2729 4631 a(\).) p 2869
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Fl 0 4752 a(W) p Fh 92 4767 a(\000) p Fp 151 4752 a(\() p
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a(H) p Fm 434 4767 a(0) p Fp 473 4752 a(;) p Fl 517 4752
a(J) p Fh 571 4767 a(\000) p Fp 630 4752 a(\)) p 700
4752 a(acts) p 901 4752 a(as) p 1021 4752 a(the) p 1189
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a(W) p Fh 862 4981 a(\000) p Fp 921 4966 a(\() p Fl(H) p
Fm 1040 4981 a(0) p Fl 1079 4966 a(;) p 1123 4966 a(H) p
Fm 1204 4981 a(0) p Fp 1243 4966 a(;) p Fl 1287 4966
a(J) p Fh 1341 4981 a(\000) p Fp 1399 4966 a(\)) p Fl(F) p
Fh 1514 4925 a(\003) p Fp 1581 4966 a(=) p 1685 4966
a(exp) q(\() p Fk(\000) p Fl(i\013) q(\015) p Fp 2101
4966 a(\() p Fk(\000) p Fl(\022) p Fp 2264 4966 a(;) p
Fl 2308 4966 a(!) p Fp 2373 4966 a(\)\)) p Fl(\014) p
Fp 2510 4966 a(\() p Fk 2548 4876 a(p) p 2630 4876 57
4 v Fl 2630 4966 a(\025\022) p Fp 2735 4966 a(\)) p Fk(\002) p
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Fm 1616 5133 a(2) p Fp 1656 5170 a(\(\(0) p Fl(;) p Fk
1825 5170 a(1) p Fp(\)) p Fk 1978 5170 a(\002) p Fl 2070
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y(b) m(y) p 135 5290 a(\(2.1\).) p 406 5290 a(Similarly) p
Fl 657 5504 a(F) p 734 5504 a(W) p Fm 826 5519 a(+) p
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5504 a(;) p 1087 5504 a(H) p Fm 1168 5519 a(0) p Fp 1207
5504 a(;) 1274 5479 y(~) p Fl 1251 5504 a(J) p Fh 1305
5519 a(\000) p Fp 1364 5504 a(\)) p Fl(F) p Fh 1479 5463
a(\003) p Fp 1545 5504 a(=) p 1649 5504 a(exp) q(\() p
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Fp 2151 5504 a(;) p Fk 2195 5504 a(\000) p Fp 2280 5504
a(~) p Fl 2272 5504 a(!) p Fp 2337 5504 a(\)\)) 2427
5478 y(~) p Fl 2413 5504 a(\014) p Fp 2473 5504 a(\() p
Fk 2511 5415 a(p) p 2594 5415 V Fl 2594 5504 a(\025\022) p
Fp 2699 5504 a(\)) p Fk 2760 5504 a(\002) p Fl 2859 5504
a(:) p Fp 1747 5753 a(8) p 90 rotate dyy eop
%%Page: 9 9
9 8 bop Fp 0 407 a(Since) p Fl 255 407 a(\014) p Fp 316
407 a(\() p Fk 354 323 a(p) p 436 323 79 4 v Fl 436 407
a(E) p 514 407 a(!) p Fp 579 407 a(\)) p 644 407 a(=) 762
381 y(~) p Fl 748 407 a(\014) p Fp 808 407 a(\() p Fk
846 323 a(p) p 929 323 V Fl 929 407 a(E) p Fp 1015 407
a(~) p Fl 1007 407 a(!) p Fp 1072 407 a(\)) p 1137 407
a(=) p 1241 407 a(1) p 1322 407 a(and) p Fl 1512 407
a(\015) p Fp 1568 407 a(\() p Fk(\000) p Fl(!) p Fp 1748
407 a(;) p Fl 1792 407 a(!) p Fp 1857 407 a(\)) p 1921
407 a(=) p Fl 2025 407 a(\015) p Fp 2081 407 a(\() p
2127 407 a(~) p Fl 2119 407 a(!) p Fp 2183 407 a(;) p
Fk 2227 407 a(\000) p Fp 2312 407 a(~) p Fl 2304 407
a(!) p Fp 2369 407 a(\)) p 2434 407 a(=) p Fl 2538 407
a(\031) p Fp 2597 407 a(,) p 2656 407 a(w) m(e) p 2800
407 a(ha) m(v) m(e) p Fl 1253 627 a(S) p Fp 1319 627
a(\() p 1365 627 a(~) p Fl 1357 627 a(!) t(;) p 1466
627 a(!) p Fp 1531 627 a(;) p Fl 1575 627 a(E) p Fp 1653
627 a(\)) p 1717 627 a(=) p Fl 1820 627 a(S) p Fm 1880
642 a(0) p Fp 1920 627 a(\() p 1966 627 a(~) p Fl 1958
627 a(!) s(;) p 2066 627 a(!) p Fp 2131 627 a(;) p Fl
2175 627 a(E) p Fp 2253 627 a(\)) p 3294 627 a(\(2.11\)) 0
847 y(b) m(y) p 135 847 a(\(2.10\).) 146 1017 y(W) p
238 1017 a(e) p 314 1017 a(shall) p 542 1017 a(deriv) m(e) p
829 1017 a(the) p 997 1017 a(represen) m(tation) p 1634
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Fl 2238 1017 a(S) p Fm 2298 1032 a(0) p Fp 2337 1017
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531 1137 a(deriv) p 739 1137 a(ation) p 991 1137 a(is) p
1092 1137 a(based) p 1366 1137 a(on) p 1504 1137 a(the) p
1675 1137 a(idea) p 1883 1137 a(due) p 2070 1137 a(to) p
2192 1137 a([6,) p 2330 1137 a(12].) p 2533 1137 a(Set) p
Fl 2704 1137 a(T) p Fp 2806 1137 a(=) p Fl 2914 1137
a(H) p Fi 2995 1152 a(\013) p Fl 3045 1137 a(J) p Fm
3099 1152 a(+) p Fk 3182 1137 a(\000) p Fl 3283 1137
a(J) p Fm 3337 1152 a(+) p Fl 3396 1137 a(H) p Fm 3477
1152 a(0) p Fp 3516 1137 a(.) 0 1258 y(Then) p Fl 255
1258 a(T) p Fp 358 1258 a(is) p 456 1258 a(calculated) p
917 1258 a(as) p Fl 457 1478 a(T) p Fp 555 1478 a(=) p
658 1478 a(exp) r(\() p Fl(i\013) q(\015) p Fp 998 1478
a(\() p Fl(x) p Fp(;) p Fl 1135 1478 a(!) p Fp 1200 1478
a(\)\)) p 1293 1478 a(\() p Fl 1329 1478 a(H) p Fm 1410
1493 a(0) p Fl 1449 1478 a(e) p Fm 1494 1493 a(0) p Fk
1556 1478 a(\000) p Fl 1656 1478 a(e) p Fm 1701 1493
a(0) p Fl 1741 1478 a(H) p Fm 1822 1493 a(0) p Fp 1861
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2107 1478 a(exp) q(\() p Fl(i\013) q(\015) p Fp 2446
1478 a(\() p Fl(x) p Fp(;) p Fl 2583 1478 a(!) p Fp 2648
1478 a(\)\)[) p Fl(H) p Fm 2832 1493 a(0) p Fl 2871 1478
a(;) p 2915 1478 a(e) p Fm 2960 1493 a(0) p Fp 2999 1478
a(]) p Fl(\014) p Fp 0 1698 a(b) m(y) p 135 1698 a(\(2.6\).) p
406 1698 a(Similarly) 783 1893 y(~) p Fl 764 1918 a(T) p
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Fk 2171 1918 a(\000) p Fp 2256 1918 a(~) p Fl 2248 1918
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Fl 2536 1918 a(;) p Fp 2584 1918 a(~) p Fl 2580 1918
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Fl 1712 2138 a(x) p Fk 1795 2138 a(\000) p Fl 1900 2138
a(!) p Fk 1965 2138 a(j) p Fl 2034 2138 a(<) p 2152 2138
a(\016) p Fp 2240 2138 a(and) p 2438 2138 a(since) p
Fl 2685 2138 a(\014) p Fp 2746 2138 a(\() p Fl(\030) p
Fp 2832 2138 a(\)) p 2910 2138 a(has) p 3093 2138 a(supp) s(ort) p
3462 2138 a(in) p Fk 0 2258 a(fj) p Fl(\030) p Fk 149
2258 a(\000) 251 2174 y(p) p 334 2174 V Fl 334 2258 a(E) p
412 2258 a(!) p Fk 477 2258 a(j) p Fl 536 2258 a(<) p
Fp 644 2258 a(2) p Fl(\016) p Fm 740 2222 a(2) p Fk 780
2258 a(g) p Fp 865 2258 a(only) p 1038 2258 a(,) p 1101
2258 a(it) p 1202 2258 a(follo) m(ws) p 1525 2258 a(from) p
1758 2258 a(Lemma) p 2109 2258 a(2.1) p 2269 2258 a(that) p
Fl 2483 2258 a(W) p Fm 2575 2273 a(+) p Fp 2634 2258
a(\() p Fl(H) p Fi 2753 2273 a(\013) p Fl 2803 2258 a(;) p
2847 2258 a(H) p Fm 2928 2273 a(0) p Fp 2967 2258 a(;) p
Fl 3011 2258 a(J) p Fm 3065 2273 a(+) p Fp 3123 2258
a(\)) p 3194 2258 a(=) p 3302 2258 a(0) p 3386 2258 a(and) 0
2379 y(hence) p Fl 679 2499 a(W) p Fh 771 2514 a(\000) p
Fp 831 2499 a(\() p Fl(H) p Fi 950 2514 a(\013) p Fl
999 2499 a(;) p 1043 2499 a(H) p Fm 1124 2514 a(0) p
Fp 1163 2499 a(;) p Fl 1207 2499 a(J) p Fm 1261 2514
a(+) p Fp 1319 2499 a(\)) p 1385 2499 a(=) p Fk 1489
2499 a(\000) p Fl(i) p Fj 1632 2382 a(Z) p Fp 1732 2499
a(exp) q(\() p Fl(itH) p Fi 2068 2514 a(\013) p Fp 2118
2499 a(\)) p Fl(T) p Fp 2243 2499 a(exp) q(\() p Fk(\000) p
Fl(itH) p Fm 2656 2514 a(0) p Fp 2696 2499 a(\)) p Fl
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a(then) p 1573 2698 a(w) m(e) p 1716 2698 a(obtain) p
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2893 a(~) p Fl 1552 2918 a(J) p Fh 1615 2877 a(\003) p
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a(+) 1876 2893 y(~) p Fl 1857 2918 a(T) p Fh 1928 2877
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2765 2877 a(\003) p Fp 2804 2918 a(\() p Fl(\025) p Fp(\)) p
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1725 3150 a(3.3]) p 1909 3150 a(\(see) p 2104 3150 a(also) p
2299 3150 a([12,) p 2483 3150 a(Section) p 2824 3150
a(7]\),) p 2998 3150 a(where) p Fl 3279 3150 a(F) p Fp
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529 3234 a(2) p Fp 569 3271 a(\() p Fl(S) p Fm 673 3234
a(1) p Fp 712 3271 a(\)) p Fl(;) p 827 3271 a(s) p 900
3271 a(>) p Fp 1004 3271 a(1) p Fl(=) p Fp(2,) p 1210
3271 a(is) p 1308 3271 a(the) p 1476 3271 a(trace) p
1720 3271 a(op) s(erator) p 2113 3271 a(de\014ned) p
2449 3271 a(b) m(y) 1158 3491 y(\() p Fl(F) p Fp 1273
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Fl(F) p 1869 3491 a(u) p Fp(\)\() p Fl(\026;) p 2104
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a(\026) p Fm(=) p Fi(\025) p Fl 2359 3491 a(:) p Fp 0
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665 3711 a(from) p 895 3711 a(\(2.11\)) p 1177 3711 a(and) p
1367 3711 a(\(2.12\)) p 1649 3711 a(that) p Fl 332 3931
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Fp(\() p Fl(E) p Fp 1459 3931 a(\)) p Fl(=) p Fp(4) p
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Fm 1865 3946 a(0) p Fp 1904 3931 a(\() p Fl(!) t(;) p
2051 3931 a(E) p Fp 2129 3931 a(\)) p Fl(;) p Fp 2233
3905 a(~) p Fl 2211 3931 a(J) p Fm 2265 3946 a(+) p Fl
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2472 3931 a(~) p Fl 2464 3931 a(!) s(;) p 2572 3931 a(E) p
Fp 2650 3931 a(\)\)) 994 4076 y(+) p 1153 4076 a(\() p
Fl(ic) p Fp(\() p Fl(E) p Fp 1382 4076 a(\)) p Fl(=) p
Fp(4) p Fl(\031) p Fp 1577 4076 a(\)\() p Fl(R) p Fp
1728 4076 a(\() p Fl(E) p Fp 1866 4076 a(+) p Fl 1964
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a(\013) p Fp 2220 4076 a(\)) p Fl(T) p 2329 4076 a(') p
Fm 2393 4091 a(0) p Fp 2432 4076 a(\() p Fl(!) t(;) p
2579 4076 a(E) p Fp 2657 4076 a(\)) p Fl(;) p Fp 2756
4051 a(~) p Fl 2739 4076 a(T) p 2808 4076 a(') p Fm 2872
4091 a(0) p Fp 2911 4076 a(\() p 2957 4076 a(~) p Fl
2949 4076 a(!) t(;) p 3058 4076 a(E) p Fp 3136 4076 a(\)\)) p
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Fk 248 4296 a(6) p Fp(=) p 364 4296 a(~) p Fl 356 4296
a(!) p Fp 421 4296 a(,) p 484 4296 a(where) p 768 4296
a(w) m(e) p 914 4296 a(denote) p 1231 4296 a(b) m(y) p
1370 4296 a(\() p Fl 1456 4296 a(;) p Fp 1549 4296 a(\)) p
1622 4296 a(the) p Fl 1793 4296 a(L) p Fm 1859 4260 a(2) p
Fp 1934 4296 a(scalar) p 2213 4296 a(pro) s(duct) p 2582
4296 a(and) p 2774 4296 a(write) p Fl 3026 4296 a(') p
Fm 3090 4311 a(0) p Fp 3130 4296 a(\() p Fl(!) t(;) p
3277 4296 a(E) p Fp 3355 4296 a(\)) p 3427 4296 a(for) p
Fl 0 4416 a(') p Fm 64 4431 a(0) p Fp 103 4416 a(\() p
Fl(x) p Fp(;) p Fl 240 4416 a(!) t(;) p 349 4416 a(E) p
Fp 427 4416 a(\)) p 492 4416 a(=) p 596 4416 a(exp) q(\() p
Fl(i) p Fk 816 4332 a(p) p 899 4332 V Fl 899 4416 a(E) p
977 4416 a(x) p Fk 1055 4416 a(\001) p Fl 1104 4416 a(!) p
Fp 1169 4416 a(\).) 146 4587 y(W) p 238 4587 a(e) p 324
4587 a(no) m(w) p 537 4587 a(\014x) p Fl 685 4587 a(\033) n(;) p
Fp 825 4587 a(0) p Fl 918 4587 a(<) p 1038 4587 a(\033) p
Fk 1141 4587 a(\034) p Fp 1285 4587 a(1,) p 1405 4587
a(small) p 1670 4587 a(enough) p 2016 4587 a(and) p 2216
4587 a(tak) m(e) p Fl 2437 4587 a(R) p Fp 2556 4587 a(=) p
Fl 2676 4587 a(d) p Fi 2727 4550 a(\033) p Fl 2774 4587
a(;) p 2860 4587 a(d) p Fk 2955 4587 a(\035) p Fp 3099
4587 a(1,) p 3219 4587 a(in) p 3343 4587 a(\(2.4\)) 0
4707 y(and) p 194 4707 a(\(2.8\).) p 479 4707 a(W) p
571 4707 a(e) p 651 4707 a(ma) m(y) p 867 4707 a(assume) p
1209 4707 a(that) p Fl 1425 4707 a(e) p Fm 1470 4722
a(0) p Fp 1546 4707 a(ob) s(eys) p Fl 1822 4707 a(@) p
Fi 1878 4671 a(\014) 1873 4732 y(x) p Fl 1926 4707 a(e) p
Fm 1971 4722 a(0) p Fp 2011 4707 a(\() p Fl(x) p Fp(\)) p
2178 4707 a(=) p Fl 2289 4707 a(O) p Fp 2367 4707 a(\() p
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3180 4707 a(in) p Fl 3298 4707 a(d) p Fp 3386 4707 a(and) 0
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Fl 564 4827 a(e) p Fm 609 4842 a(0) p Fp 649 4827 a(.) p
744 4827 a(The) p 953 4827 a(op) s(erators) 1416 4802
y(~) p Fl 1393 4827 a(J) p Fm 1447 4842 a(+) p Fl 1506
4827 a(;) p 1590 4827 a(T) p Fp 1701 4827 a(and) 1919
4802 y(~) p Fl 1899 4827 a(T) p Fp 2011 4827 a(are) p
2182 4827 a(all) p 2325 4827 a(pseudo) s(di\013eren) m(tial) p
3117 4827 a(op) s(erators.) 0 4948 y(If) p Fl 103 4948
a(!) p Fk 206 4948 a(6) p Fp(=) p 327 4948 a(~) p Fl
319 4948 a(!) p Fp 384 4948 a(,) p 451 4948 a(then) p
679 4948 a(w) m(e) p 828 4948 a(can) p 1013 4948 a(c) m(ho) s(ose) p
Fl 1329 4948 a(\016) p Fp 1414 4948 a(so) p 1540 4948
a(small) p 1801 4948 a(that) p 2018 4948 a(the) p 2192
4948 a(supp) s(ort) p 2559 4948 a(of) p 2676 4948 a(sym) m(b) s(ols) p
Fl 3055 4948 a(T) p Fp 3126 4948 a(\() p Fl(x;) p 3263
4948 a(\030) p Fp 3311 4948 a(\)) p 3386 4948 a(and) 23
5043 y(~) p Fl 0 5068 a(J) p Fm 54 5083 a(+) p Fp 113
5068 a(\() p Fl(x;) p 250 5068 a(\030) p Fp 298 5068
a(\)) p 372 5068 a(do) s(es) p 595 5068 a(not) p 773
5068 a(in) m(tersect) p 1170 5068 a(with) p 1396 5068
a(eac) m(h) p 1619 5068 a(other.) p 1923 5068 a(Hence) p
2216 5068 a(the) p 2388 5068 a(\014rst) p 2593 5068 a(term) p
2830 5068 a(on) p 2969 5068 a(the) p 3141 5068 a(righ) m(t) p
3380 5068 a(side) 0 5188 y(of) p 111 5188 a(\(2.13\)) p
393 5188 a(ob) s(eys) 797 5408 y(\() p Fl(T) p 906 5408
a(') p Fm 970 5423 a(0) p Fp 1009 5408 a(\() p Fl(!) t(;) p
1156 5408 a(E) p Fp 1234 5408 a(\)) p Fl(;) p Fp 1338
5383 a(~) p Fl 1316 5408 a(J) p Fm 1370 5423 a(+) p Fl
1427 5408 a(') p Fm 1491 5423 a(0) p Fp 1531 5408 a(\() p
1577 5408 a(~) p Fl 1569 5408 a(!) s(;) p 1677 5408 a(E) p
Fp 1755 5408 a(\)\)) p 1858 5408 a(=) p Fl 1962 5408
a(O) p Fp 2040 5408 a(\() p Fl(d) p Fh 2129 5367 a(\000) p
Fi(L) p Fp 2235 5408 a(\)) p Fl(;) p 2414 5408 a(d) p
Fk 2492 5408 a(!) p 2620 5408 a(1) p Fl(;) p Fp 1747
5753 a(9) p 90 rotate dyy eop
%%Page: 10 10
10 9 bop Fp 0 407 a(for) p 149 407 a(an) m(y) p Fl 333
407 a(L) p Fk 427 407 a(\035) p Fp 555 407 a(1,) p 663
407 a(and) p 853 407 a(w) m(e) p 996 407 a(ha) m(v) m(e) p
Fl 103 626 a(f) p Fi 151 641 a(\013) p Fp 201 626 a(\() p
Fl(!) p Fk 331 626 a(!) p Fp 466 626 a(~) p Fl 458 626
a(!) p Fp 523 626 a(;) p Fl 567 626 a(E) p Fp 645 626
a(\)) p 710 626 a(=) p 813 626 a(\() p Fl(ic) p Fp(\() p
Fl(E) p Fp 1042 626 a(\)) p Fl(=) p Fp(4) p Fl(\031) p
Fp 1237 626 a(\)\() p Fl(R) p Fp 1388 626 a(\() p Fl(E) p
Fp 1526 626 a(+) p Fl 1624 626 a(i) p Fp(0;) p Fl 1750
626 a(H) p Fi 1831 641 a(\013) p Fp 1880 626 a(\)) p
Fl(T) p 1989 626 a(') p Fm 2053 641 a(0) p Fp 2092 626
a(\() p Fl(!) t(;) p 2239 626 a(E) p Fp 2317 626 a(\)) p
Fl(;) p Fp 2417 601 a(~) p Fl 2399 626 a(T) p 2469 626
a(') p Fm 2533 641 a(0) p Fp 2572 626 a(\() p 2618 626
a(~) p Fl 2610 626 a(!) s(;) p 2718 626 a(E) p Fp 2796
626 a(\)\)) p 2894 626 a(+) p Fl 2992 626 a(o) p Fp(\(1\)) p
Fl(:) p Fp 3294 626 a(\(2.14\)) 0 845 y(W) p 92 845 a(e) p
174 845 a(con) m(tin) m(ue) p 571 845 a(to) p 697 845
a(analyze) p 1052 845 a(the) p 1227 845 a(term) p 1466
845 a(on) p 1608 845 a(the) p 1782 845 a(righ) m(t) p
2025 845 a(side.) p 2277 845 a(W) p 2369 845 a(e) p 2452
845 a(decomp) s(ose) p Fl 2949 845 a(T) p Fp 3058 845
a(=) p Fl 3173 845 a(T) p Fp 3244 845 a(\() p Fl(x;) p
3381 845 a(D) p Fi 3462 860 a(x) p Fp 3505 845 a(\)) 0
965 y(in) m(to) p Fl 1063 1086 a(T) p Fp 1161 1086 a(=) p
Fl 1265 1086 a(\037) p Fm 1326 1101 a(0) p Fl 1365 1086
a(T) p Fp 1458 1086 a(+) p 1556 1086 a(\(1) p Fk 1665
1086 a(\000) p Fl 1764 1086 a(\037) p Fm 1825 1101 a(0) p
Fp 1865 1086 a(\)) p Fl(T) p Fp 2001 1086 a(=) p Fl 2105
1086 a(T) p Fm 2162 1101 a(0) p Fp 2224 1086 a(+) p Fl
2322 1086 a(T) p Fh 2379 1101 a(1) p Fl 2454 1086 a(;) p
Fp 0 1260 a(where) p Fl 289 1260 a(\037) p Fm 350 1275
a(0) p Fp 390 1260 a(\() p Fl(x) p Fp(\)) p 562 1260
a(=) p Fl 678 1260 a(\037) p Fp(\() p Fk(j) p Fl(x) p
Fk(j) p Fl(=) p Fp(2) p Fl(d) p Fi 1037 1224 a(\033) p
Fp 1083 1260 a(\)) p 1161 1260 a(for) p 1318 1260 a(basic) p
1570 1260 a(cut{o\013) p 1900 1260 a(function) p Fl 2290
1260 a(\037) p Fk 2392 1260 a(2) p Fl 2499 1260 a(C) p
Fh 2576 1224 a(1) p Fm 2569 1284 a(0) p Fp 2650 1260
a([0) p Fl(;) p Fk 2770 1260 a(1) p Fp(\)) p 2948 1260
a(with) p 3177 1260 a(prop) s(ert) m(y) 0 1380 y(\(2.3\).) p
285 1380 a(By) p 443 1380 a(\(2.4\),) p Fk 709 1380 a(r) p
Fl(e) p Fm 837 1395 a(0) p Fp 914 1380 a(and) p 1109
1380 a(\001) p Fl(e) p Fm 1235 1395 a(0) p Fp 1312 1380
a(v) p 1358 1380 a(anish) p 1618 1380 a(on) p 1758 1380
a(\006\(2) p Fl(d) p Fi 1966 1344 a(\033) p Fl 2013 1380
a(;) p 2057 1380 a(!) t(;) p Fp 2166 1380 a(2) p Fl(\016) p
Fp 2262 1380 a(\).) p 2383 1380 a(Hence) p 2678 1380
a(the) p 2850 1380 a(sym) m(b) s(ol) p Fl 3189 1380 a(T) p
Fh 3246 1395 a(1) p Fp 3321 1380 a(\() p Fl(x;) p 3458
1380 a(\030) p Fp 3506 1380 a(\)) 0 1500 y(has) p 174
1500 a(the) p 342 1500 a(supp) s(ort) p 703 1500 a(in) p
817 1500 a(the) p 985 1500 a(outgoing) p 1386 1500 a(region) 386
1720 y(supp) p Fl 604 1720 a(T) p Fh 661 1735 a(1) p
Fk 763 1720 a(\032) p 868 1720 a(f) p Fp(\() p Fl(x;) p
1055 1720 a(\030) p Fp 1103 1720 a(\)) p 1168 1720 a(:) p
Fk 1223 1720 a(j) p Fl(x) p Fk(j) p Fl 1362 1720 a(>) p
Fp 1465 1720 a(2) p Fl(d) p Fi 1565 1678 a(\033) p Fl
1611 1720 a(;) p Fk 1702 1720 a(j) p Fl(\030) p Fk 1799
1720 a(\000) 1898 1631 y(p) p 1981 1631 79 4 v Fl 1981
1720 a(E) p 2060 1720 a(!) p Fk 2125 1720 a(j) p Fl 2179
1720 a(<) p Fp 2283 1720 a(2) p Fl(\016) p Fm 2379 1678
a(2) p Fl 2418 1720 a(;) p Fp 2514 1720 a(^) p Fl 2508
1720 a(x) p Fk 2586 1720 a(\001) p Fp 2646 1693 a(^) p
Fl 2635 1720 a(\030) p 2711 1720 a(>) p Fp 2814 1720
a(1) p Fk 2885 1720 a(\000) p Fp 2985 1720 a(3) p Fl(\016) p
Fk 3081 1720 a(g) p Fl(:) p Fp 0 1939 a(The) p 208 1939
a(classical) p 591 1939 a(particle) p 951 1939 a(starting) p
1322 1939 a(from) p 1560 1939 a(\() p Fl(x;) p 1697 1939
a(\030) p Fp 1745 1939 a(\)) p Fk 1823 1939 a(2) p Fp
1930 1939 a(supp) p Fl 2148 1939 a(T) p Fh 2205 1954
a(1) p Fp 2320 1939 a(at) p Fl 2447 1939 a(t) p Fp 2523
1939 a(=) p 2640 1939 a(0) p 2729 1939 a(mo) m(v) m(es) p
3027 1939 a(lik) m(e) p 3213 1939 a(the) p 3389 1939
a(free) 0 2059 y(particle) p 352 2059 a(and) p 542 2059
a(it) p 639 2059 a(do) s(es) p 860 2059 a(not) p 1033
2059 a(pass) p 1245 2059 a(around) p 1576 2059 a(the) p
1744 2059 a(origin) p 2020 2059 a(for) p Fl 2169 2059
a(t) p 2232 2059 a(>) p Fp 2336 2059 a(0.) p 2455 2059
a(In) p 2577 2059 a(fact,) p 2796 2059 a(w) m(e) p 2940
2059 a(ha) m(v) m(e) p Fk 282 2278 a(j) p Fl(x) p Fp
387 2278 a(+) p 485 2278 a(2) p Fl(t\030) p Fk 617 2278
a(j) p Fm 645 2237 a(2) p Fk 711 2278 a(\025) p 816 2278
a(j) p Fl(x) p Fk(j) p Fm 927 2237 a(2) p Fk 989 2278
a(\000) p Fp 1088 2278 a(4) p Fl(t) p Fp(\(1) p Fk 1281
2278 a(\000) p Fl 1381 2278 a(\016) t(=) p Fp(3\)) p
Fk(j) p Fl(x) p Fk(j) p 1692 2278 a(j) p Fl(\030) p Fk
1768 2278 a(j) p Fp 1815 2278 a(+) p 1913 2278 a(4) p
Fl(t) p Fm 1997 2237 a(2) p Fk 2037 2278 a(j) p Fl(\030) p
Fk 2113 2278 a(j) p Fm 2141 2237 a(2) p Fk 2207 2278
a(\025) p Fl 2312 2278 a(c) p Fp 2371 2278 a(\() p Fk
2408 2278 a(j) p Fl(x) p Fk(j) p Fp 2541 2278 a(+) p
Fl 2639 2278 a(t) p Fk(j) p Fl(\030) p Fk 2750 2278 a(j) p
Fp(\)) p Fm 2815 2230 a(2) p Fl 2871 2278 a(;) p 3013
2278 a(c) p 3082 2278 a(>) p Fp 3186 2278 a(0) p Fl(:) p
Fp 0 2497 a(Hence) p 290 2497 a(the) p 458 2497 a(particle) p
810 2497 a(do) s(es) p 1030 2497 a(not) p 1204 2497 a(tak) m(e) p
1415 2497 a(momen) m(tum) p 1927 2497 a(around) p Fk
2258 2413 a(p) p 2341 2413 V Fl 2341 2497 a(E) p Fp 2427
2497 a(~) p Fl 2419 2497 a(!) p Fp 2483 2497 a(.) p 2554
2497 a(This) p 2776 2497 a(yields) 708 2716 y(\() p Fl(R) p
Fp 821 2716 a(\() p Fl(E) p Fp 959 2716 a(+) p Fl 1057
2716 a(i) p Fp(0;) p Fl 1183 2716 a(H) p Fi 1264 2731
a(\013) p Fp 1313 2716 a(\)) p Fl(T) p Fh 1408 2731 a(1) p
Fl 1483 2716 a(') p Fm 1547 2731 a(0) p Fp 1586 2716
a(\() p Fl(!) t(;) p 1733 2716 a(E) p Fp 1811 2716 a(\)) p
Fl(;) p Fp 1911 2691 a(~) p Fl 1893 2716 a(T) p 1963
2716 a(') p Fm 2027 2731 a(0) p Fp 2066 2716 a(\() p
2112 2716 a(~) p Fl 2104 2716 a(!) s(;) p 2212 2716 a(E) p
Fp 2290 2716 a(\)\)) p 2394 2716 a(=) p Fl 2497 2716
a(O) p Fp 2575 2716 a(\() p Fl(d) p Fh 2664 2675 a(\000) p
Fi(L) p Fp 2770 2716 a(\)) p Fl(:) p Fp 0 2935 a(If) p
98 2935 a(w) m(e) p 241 2935 a(decomp) s(ose) 751 2910
y(~) p Fl 732 2935 a(T) p Fp 835 2935 a(in) m(to) 1052
2910 y(~) p Fl 1033 2935 a(T) p Fp 1132 2935 a(=) 1254
2910 y(~) p Fl 1235 2935 a(T) p Fm 1292 2950 a(0) p Fp
1354 2935 a(+) 1471 2910 y(~) p Fl 1452 2935 a(T) p Fh
1509 2950 a(1) p Fp 1616 2935 a(in) p 1730 2935 a(a) p
1811 2935 a(similar) p 2132 2935 a(w) m(a) m(y) p 2288
2935 a(,) p 2348 2935 a(then) p 2571 2935 a(w) m(e) p
2714 2935 a(ha) m(v) m(e) 695 3154 y(\() p Fl(R) p Fp
808 3154 a(\() p Fl(E) p Fp 946 3154 a(+) p Fl 1044 3154
a(i) p Fp(0;) p Fl 1170 3154 a(H) p Fi 1251 3169 a(\013) p
Fp 1300 3154 a(\)) p Fl(T) p Fm 1395 3169 a(0) p Fl 1435
3154 a(') p Fm 1499 3169 a(0) p Fp 1538 3154 a(\() p
Fl(!) t(;) p 1685 3154 a(E) p Fp 1763 3154 a(\)) p Fl(;) p
Fp 1863 3129 a(~) p Fl 1845 3154 a(T) p Fh 1902 3169
a(1) p Fl 1976 3154 a(') p Fm 2040 3169 a(0) p Fp 2079
3154 a(\() p 2125 3154 a(~) p Fl 2117 3154 a(!) s(;) p
2225 3154 a(E) p Fp 2303 3154 a(\)\)) p 2407 3154 a(=) p
Fl 2510 3154 a(O) p Fp 2588 3154 a(\() p Fl(d) p Fh 2677
3113 a(\000) p Fi(L) p Fp 2783 3154 a(\)) p Fl(:) p Fp
0 3373 a(Th) m(us) p 247 3373 a(w) m(e) p 391 3373 a(ha) m(v) m(e) p
616 3373 a(obtained) p 1017 3373 a(the) p 1185 3373 a(follo) m(wing) p
1597 3373 a(lemma.) p Fq 0 3650 a(Lemma) p 397 3650 a(2.2) p
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%%Page: 11 11
11 10 bop Fq 146 407 a(3.) p 271 407 a(Auxiliary) p 767
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a(resolv) m(en) m(t) p 638 5308 a(iden) m(tit) m(y) p
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2274 5308 a(Nev) m(ertheless) p 2838 5308 a(w) m(e) p
2983 5308 a(can) p 3164 5308 a(sho) m(w) p 3408 5308
a(the) 0 5429 y(follo) m(wing) p 412 5429 a(relation) p
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1594 5429 a(of) p Fl 1705 5429 a(H) p Fi 1786 5444 a(a) p
Fp 1860 5429 a(and) p Fl 2050 5429 a(K) p Fi 2133 5444
a(am) p Fp 2237 5429 a(\() p Fl(\022) p Fp 2323 5429
a(\).) 1723 5753 y(11) p 90 rotate dyy eop
%%Page: 12 12
12 11 bop Fq 0 407 a(Lemma) p 397 407 a(3.1) p Fo 589
407 a(L) p 645 407 a(et) p Fl 766 407 a( ) p Fi 829 422
a(j) p Fk 909 407 a(2) p Fl 1019 407 a(C) p Fh 1096 371
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1545 407 a(a) p 1638 407 a(function) p 2030 407 a(vanishing) p
2472 407 a(ar) p 2558 407 a(ound) p Fl 2808 407 a(x) p
Fp 2907 407 a(=) p Fl 3027 407 a(d) p Fi 3078 422 a(j) p
Fo 3114 407 a(.) p 3214 407 a(Assume) 0 527 y(that) p
Fl 199 527 a( ) p Fi 262 542 a(j) p Fo 334 527 a(has) p
508 527 a(b) p 548 527 a(ounde) p 795 527 a(d) p 880
527 a(derivatives.) p 1406 527 a(If) p Fl 1509 527 a(") p
1582 527 a(>) p Fp 1685 527 a(0) p Fo(,) p 1799 527 a(then) p
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1831 747 a(+) p Fl 1929 747 a(R) p Fp 2004 747 a(\() p
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Fl(W) p Fi 2617 762 a(am) p Fl 2721 747 a(R) p Fp 2796
747 a(\() p Fl(E) p Fk 2934 747 a(\006) p Fl 3034 747
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Fp 3344 747 a(\)) p Fo 0 967 a(on) p Fl 139 967 a(L) p
Fm 205 931 a(2) p Fo 245 967 a(,) p 310 967 a(wher) p
506 967 a(e) p Fl 585 967 a(K) p Fi 668 982 a(am) p Fp
800 967 a(=) p Fl 904 967 a(K) p Fi 987 982 a(am) p Fp
1091 967 a(\() p Fl(\022) p Fp 1177 967 a(\)) p Fo 1249
967 a(and) p Fl 782 1187 a(W) p Fi 874 1202 a(am) p Fp
1006 1187 a(=) p Fl 1109 1187 a(W) p Fi 1201 1202 a(am) p
Fp 1305 1187 a(\() p Fl(\022) p Fp 1391 1187 a(\)) p
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Fp 832 1685 a(\)) p Fl( ) p Fk 959 1685 a(\000) p Fl
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1339 1685 a(+) p Fl 1437 1685 a(i") p Fp(;) p Fl 1560
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1750 1685 a(=) p Fl 1854 1685 a(R) p Fp 1929 1685 a(\() p
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Fp 2719 1685 a(\() p Fl(E) p Fp 2857 1685 a(+) p Fl 2955
1685 a(i") p Fp(;) p Fl 3078 1685 a(K) p Fi 3161 1700
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1920 a(a) p Fk 866 1905 a(\000) p Fl 966 1905 a(E) p
Fp 1044 1905 a(\)) p Fk 1105 1905 a(\000) p Fp 1205 1905
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Fl 1489 1905 a(E) p Fp 1567 1905 a(\)) p Fl( ) p Fp 1672
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2278 1905 a(relation) p 2637 1905 a(follo) m(ws) p 2958
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3051 a(=) p 2363 3051 a(\005) p Fi 2436 3066 a(m) p Fp
2503 3051 a(\() p Fl(\022) p Fp 2589 3051 a(\)) p Fk
2650 3051 a(\\) p 2738 3051 a(fj) p Fl(x) p Fk 2894 3051
a(\000) p Fl 2994 3051 a(d) p Fi 3045 3066 a(m) p Fk
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542 3292 a(j) p Fl(x) p Fk 646 3292 a(\000) p Fl 746
3292 a(d) p Fi 797 3307 a(j) p Fk 833 3292 a(j) p Fp
894 3292 a(o) m(v) m(er) p Fl 1102 3292 a(D) p Fi 1183
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2432 3292 a(satisfy) p Fk 713 3526 a(j) p Fl(@) p Fi
797 3485 a(\014) 792 3550 y(x) p Fl 845 3526 a(w) p Fm
915 3541 a(1) p Fp 954 3526 a(\() p Fl(x) p Fp(\)) p
Fk(j) p Fp 1135 3526 a(+) p Fk 1233 3526 a(j) p Fl(@) p
Fi 1317 3485 a(\014) 1312 3550 y(x) p Fl 1365 3526 a(w) p
Fm 1435 3541 a(0) p Fp 1474 3526 a(\() p Fl(x) p Fp(\)) p
Fk(j) p 1661 3526 a(\024) p Fl 1766 3526 a(C) p Fi 1836
3541 a(\014) p Fp 1900 3526 a(\() p Fk(j) p Fl(x) p Fk
2043 3526 a(\000) p Fl 2143 3526 a(d) p Fi 2194 3541
a(m) p Fk 2260 3526 a(j) p Fp 2310 3526 a(+) p Fk 2408
3526 a(j) p Fl(d) p Fk(j) p Fi 2515 3485 a(\033) p Fp
2561 3526 a(\)) p Fh 2598 3477 a(\000) p Fm(1) p Fh(\000j) p
Fi(\014) p Fh 2806 3477 a(j) p Fp 3294 3526 a(\(3.10\)) 0
3746 y(uniformly) p 459 3746 a(in) p Fl 587 3746 a(d) p
Fk 690 3746 a(\035) p Fp 842 3746 a(1.) p 1005 3746 a(The) p
1220 3746 a(later) p 1462 3746 a(discussion) p 1933 3746
a(uses) p 2155 3746 a(the) p 2337 3746 a(relation) p
2710 3746 a(obtained) p 3125 3746 a(b) m(y) p 3275 3746
a(taking) 0 3866 y(the) p 181 3866 a(limit) p Fl 426
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1637 3866 a(relation,) p Fl 2038 3866 a(R) p Fp 2113
3866 a(\() p Fl(E) p Fk 2260 3866 a(\006) p Fl 2368 3866
a(i) p Fp(0;) p Fl 2494 3866 a(H) p Fi 2575 3881 a(a) p
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Fk 321 4277 a(f) p Fl(\014) p Fh 426 4292 a(\006) p Fl
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Fl 1555 4497 a(\014) p Fh 1610 4512 a(\000) p Fp 1669
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90 rotate dyy eop
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13 12 bop Fp 0 407 a(for) p 149 407 a(some) p Fl 393
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1853 a(\030) p Fp 904 1853 a(\)) p 974 1853 a(of) p 1085
1853 a(pseudo) s(di\013eren) m(tial) p 1869 1853 a(op) s(erator) p
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3419 a(p) p Fi 1927 3434 a(m) p Fp 2022 3419 a(=) p 2125
3419 a(1) p 2220 3419 a(on) p 2370 3419 a(\000) p Fi
2431 3434 a(m) p Fp 2497 3419 a(\(3) p Fl(d) p Fi 2635
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2818 3419 a(c) p Fm 2860 3434 a(0) p Fl 2899 3419 a(=) p
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Fk 1760 3649 a(j) p Fl(x) p Fk 1866 3649 a(\000) p Fl
1965 3649 a(d) p Fi 2016 3664 a(m) p Fk 2083 3649 a(j) p
Fp 2132 3649 a(+) p Fl 2230 3649 a(d) p Fi 2281 3613
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3649 a(W) p 2669 3649 a(e) p 2743 3649 a(tak) m(e) 2967
3623 y(~) p Fl 2953 3649 a(\014) p Fh 3008 3664 a(\006) p
Fk 3095 3649 a(2) p Fl 3189 3649 a(C) p Fh 3266 3613
a(1) p Fm 3259 3674 a(0) p Fp 3341 3649 a(\() p Fn(R) p
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127 3770 a(suc) m(h) p 360 3770 a(a) p 454 3770 a(w) m(a) m(y) p
665 3770 a(that) p 889 3770 a(supp) 1121 3743 y(~) p
Fl 1107 3770 a(\014) p Fh 1162 3785 a(\006) p Fp 1267
3770 a(is) p 1378 3770 a(sligh) m(tly) p 1733 3770 a(wider) p
2011 3770 a(than) p 2252 3770 a(supp) p Fl 2470 3770
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2832 3770 a(that) 3070 3743 y(~) p Fl 3056 3770 a(\014) p
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Fj 665 3803 a(\020) p Fp 715 3900 a(1) p Fk 786 3900
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940 3915 a(\006) p Fp 999 3900 a(\() p Fl(\030) p Fp
1085 3900 a(\)) p Fj 1123 3803 a(\021) p Fl 1189 3900
a(X) p Fh 1278 3863 a(\006) p Fi 1270 3924 a(am) p Fp
1374 3900 a(\() p Fl(x;) p 1511 3900 a(\030) p Fp 1559
3900 a(\)) p 1627 3900 a(=) p 1734 3900 a(0) p 1818 3900
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a(\020) p Fp 2900 3900 a(1) p Fk 2971 3900 a(\000) p
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a(\006) p Fj 3185 3803 a(\021) p Fl 3251 3900 a(X) p
Fh 3340 3863 a(\006) p Fi 3332 3924 a(am) p Fp 3467 3900
a(=) 4 4020 y(~) p Fl 0 4020 a(r) p Fi 44 4035 a(L) p
Fp 129 4020 a(as) p 248 4020 a(an) p 384 4020 a(op) s(erator) p
777 4020 a(for) p 926 4020 a(an) m(y) p Fl 1110 4020
a(L) p Fk 1204 4020 a(\035) p Fp 1331 4020 a(1,) p 1440
4020 a(where) p 1726 4020 a(~) p Fl 1722 4020 a(r) p
Fi 1766 4035 a(L) p Fp 1850 4020 a(denotes) p 2203 4020
a(an) p 2339 4020 a(op) s(erator) 954 4240 y(\() p Fk(j) p
Fl(x) p Fk(j) p Fp 1125 4240 a(+) p Fl 1223 4240 a(d) p
Fp(\)) p Fi 1312 4191 a(L) p Fp 1385 4240 a(~) p Fl 1380
4240 a(r) p Fi 1424 4255 a(L) p Fl 1477 4240 a(;) p Fp
1622 4240 a(~) p Fl 1618 4240 a(r) p Fi 1662 4255 a(L) p
Fp 1730 4240 a(\() p Fk(j) p Fl(x) p Fk(j) p Fp 1901
4240 a(+) p Fl 1999 4240 a(d) p Fp(\)) p Fi 2088 4191
a(L) p Fp 2168 4240 a(:) p Fl 2223 4240 a(L) p Fm 2289
4198 a(2) p Fk 2356 4240 a(!) p Fl 2483 4240 a(L) p Fm
2549 4198 a(2) p Fp 3294 4240 a(\(3.17\)) 0 4459 y(b) s(ounded) p
396 4459 a(uniformly) p 838 4459 a(in) p Fl 949 4459
a(d) p Fk 1027 4459 a(\035) p Fp 1154 4459 a(1.) p 1273
4459 a(W) p 1365 4459 a(e) p 1438 4459 a(set) p Fl 1588
4459 a(\022) p Fi 1633 4474 a(a) p Fp 1675 4459 a(\() p
Fl(x) p Fp(\)) p 1834 4459 a(=) p Fj 1938 4393 a(P) p
Fi 2025 4480 a(j) p Fh 2058 4480 a(2) p Fi(a) p Fl 2163
4459 a(\013) p Fi 2225 4474 a(j) p Fl 2261 4459 a(\015) p
Fp 2317 4459 a(\() p Fl(x) p Fk 2428 4459 a(\000) p Fl
2522 4459 a(d) p Fi 2573 4474 a(j) p Fp 2609 4459 a(;) p
Fk 2653 4459 a(\000) p Fl(\022) p Fp 2778 4459 a(\).) p
2886 4459 a(Since) p Fl 3138 4459 a(\022) p Fp 3217 4459
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896 4580 a(on) p 1037 4580 a(supp) p Fl 1254 4580 a(p) p
Fi 1303 4595 a(m) p Fp 1408 4580 a(and) p Fk 1604 4580
a(r) p Fl(\022) p Fi 1732 4595 a(a) p Fp 1811 4580 a(=) p
Fl 1924 4580 a(A) p Fi 1997 4595 a(a) p Fp 2077 4580
a(there.) p 2382 4580 a(Hence) p 2677 4580 a(it) p 2781
4580 a(follo) m(ws) p 3107 4580 a(from) p 3343 4580 a(\(2.6\)) 0
4700 y(that) 361 4920 y(\() p Fl(H) p Fi 480 4935 a(a) p
Fk 544 4920 a(\000) p Fl 643 4920 a(E) p Fp 721 4920
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Fl 903 4920 a(p) p Fi 952 4935 a(m) p Fp 1046 4920 a(=) p
Fl 1150 4920 a(e) p Fi 1195 4878 a(i\022) p Fg 1252 4886
a(a) p Fp 1294 4920 a(\() p Fl(H) p Fm 1413 4935 a(0) p
Fk 1474 4920 a(\000) p Fl 1574 4920 a(E) p Fp 1652 4920
a(\)) p Fl(p) p Fi 1739 4935 a(m) p Fp 1833 4920 a(=) p
Fl 1937 4920 a(e) p Fi 1982 4878 a(i\022) p Fg 2039 4886
a(a) p Fp 2097 4920 a(\() p Fl(p) p Fi 2184 4935 a(m) p
Fp 2251 4920 a(\() p Fl(H) p Fm 2370 4935 a(0) p Fk 2431
4920 a(\000) p Fl 2531 4920 a(E) p Fp 2609 4920 a(\)) p
2669 4920 a(+) p 2767 4920 a([) p Fl(H) p Fm 2875 4935
a(0) p Fl 2914 4920 a(;) p 2958 4920 a(p) p Fi 3007 4935
a(m) p Fp 3074 4920 a(]\)) p Fl 3155 4920 a(:) p Fp 0
5139 a(Note) p 236 5139 a(that) p Fl 447 5139 a(p) p
Fi 496 5154 a(m) p Fl 563 5139 a(X) p Fm 652 5103 a(+) p
Fi 644 5164 a(am) p Fp 775 5139 a(=) p Fl 879 5139 a(X) p
Fm 968 5103 a(+) p Fi 960 5164 a(am) p Fp 1064 5139 a(.) p
1134 5139 a(Th) m(us) p 1381 5139 a(w) m(e) p 1525 5139
a(obtain) p 1829 5139 a(the) p 1997 5139 a(relation) 525
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Fl 807 5359 a(E) p Fp 885 5359 a(\)) p Fl(e) p Fi 968
5318 a(i\022) p Fg 1025 5326 a(a) p Fl 1067 5359 a(p) p
Fi 1116 5374 a(m) p Fl 1183 5359 a(R) p Fp 1258 5359
a(\() p Fl(E) p Fp 1396 5359 a(+) p Fl 1494 5359 a(i) p
Fp(0;) p Fl 1620 5359 a(H) p Fm 1701 5374 a(0) p Fp 1740
5359 a(\)) 1792 5332 y(~) p Fl 1778 5359 a(\014) p Fm
1833 5374 a(+) p Fl 1892 5359 a(e) p Fh 1937 5318 a(\000) p
Fi(i\022) p Fg 2049 5326 a(a) p Fl 2091 5359 a(X) p Fm
2180 5318 a(+) p Fi 2172 5383 a(am) p Fp 915 5504 a(=) p
Fl 1065 5504 a(X) p Fm 1154 5463 a(+) p Fi 1146 5529
a(am) p Fp 1272 5504 a(+) p 1375 5504 a(~) p Fl 1370
5504 a(r) p Fi 1414 5519 a(L) p Fp 1488 5504 a(+) p Fl
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Fl 1878 5504 a(;) p 1922 5504 a(p) p Fi 1971 5519 a(m) p
Fp 2037 5504 a(]) p Fl(R) p Fp 2139 5504 a(\() p Fl(E) p
Fp 2277 5504 a(+) p Fl 2375 5504 a(i) p Fp(0;) p Fl 2501
5504 a(H) p Fm 2582 5519 a(0) p Fp 2621 5504 a(\)) 2673
5478 y(~) p Fl 2659 5504 a(\014) p Fm 2714 5519 a(+) p
Fl 2773 5504 a(e) p Fh 2818 5463 a(\000) p Fi(i\022) p
Fg 2930 5471 a(a) p Fl 2972 5504 a(X) p Fm 3061 5463
a(+) p Fi 3053 5529 a(am) p Fl 3157 5504 a(:) p Fp 3294
5504 a(\(3.18\)) 1723 5753 y(13) p 90 rotate dyy eop
%%Page: 14 14
14 13 bop Fp 0 407 a(Since) p Fl 259 407 a(X) p Fm 348
371 a(+) p Fi 340 431 a(am) p Fp 444 407 a(\() p Fl(x;) p
581 407 a(\030) p Fp 629 407 a(\)) p 703 407 a(has) p
882 407 a(supp) s(ort) p 1247 407 a(in) p 1365 407 a(\(3.15\)) p
1652 407 a(and) p 1846 407 a(since) p Fk 2089 407 a(r) p
Fl(p) p Fi 2221 422 a(m) p Fp 2325 407 a(v) p 2371 407
a(anishes) p 2712 407 a(on) p 2852 407 a(\000) p Fi 2913
422 a(m) p Fp 2979 407 a(\(3) p Fl(d) p Fi 3117 371 a(\033) p
Fl 3164 407 a(;) p 3208 407 a(\022) s(;) p 3300 407 a(c) p
Fm 3342 422 a(0) p Fl 3381 407 a(=) p Fp(3\),) 0 527
y(w) m(e) p 145 527 a(can) p 325 527 a(tak) m(e) p 538
527 a(0) p Fl 617 527 a(<) p 722 527 a(\016) p Fk 799
527 a(\034) p Fp 929 527 a(1) p 1012 527 a(so) p 1133
527 a(small) p 1389 527 a(and) p Fl 1580 527 a(M) p Fk
1715 527 a(\035) p Fp 1845 527 a(1) p 1927 527 a(so) p
2048 527 a(large) p 2288 527 a(that) p 2501 527 a(the) p
2670 527 a(free) p 2859 527 a(particle) p 3212 527 a(starting) 0
648 y(from) p 230 648 a(\() p Fl(y) t(;) p 364 648 a(\030) p
Fp 412 648 a(\)) p Fk 476 648 a(2) p Fp 570 648 a(supp) p
Fl 787 648 a(X) p Fm 876 611 a(+) p Fi 868 672 a(am) p
Fp 1004 648 a(at) p 1123 648 a(time) p Fl 1344 648 a(t) p
Fp 1407 648 a(=) p 1511 648 a(0) p 1592 648 a(nev) m(er) p
1851 648 a(passes) p 2145 648 a(o) m(v) m(er) p 2353
648 a(supp) p Fk 2571 648 a(r) p Fl(p) p Fi 2703 663
a(m) p Fp 2801 648 a(for) p Fl 2950 648 a(t) p 3012 648
a(>) p Fp 3116 648 a(0.) p 3235 648 a(In) p 3356 648
a(fact,) 0 768 y(w) m(e) p 144 768 a(can) p 322 768 a(sho) m(w) p
564 768 a(that) p Fk 775 963 a(j) p Fl(x) p Fk 881 963
a(\000) p Fl 980 963 a(y) p Fk 1053 963 a(\000) p Fp
1153 963 a(2) p Fl(t\030) p Fk 1285 963 a(j) p 1340 963
a(\025) p Fl 1445 963 a(c) p Fp 1504 963 a(\() p Fl(t) p
Fp 1599 963 a(+) p Fk 1697 963 a(j) p Fl(x) p Fk 1802
963 a(\000) p Fl 1902 963 a(d) p Fi 1953 978 a(m) p Fk
2019 963 a(j) p Fp 2069 963 a(+) p Fk 2167 963 a(j) p
Fl(y) p Fk 2268 963 a(\000) p Fl 2367 963 a(d) p Fi 2418
978 a(m) p Fk 2485 963 a(j) p Fp 2535 963 a(+) p Fl 2633
963 a(d) p Fi 2684 922 a(\033) p Fp 2730 963 a(\)) 0
1159 y(when) p Fl 255 1159 a(x) p Fk 338 1159 a(2) p
Fp 432 1159 a(supp) p Fk 650 1159 a(r) p Fl(p) p Fi 782
1174 a(m) p Fp 881 1159 a(and) p 1070 1159 a(\() p Fl(y) t(;) p
1204 1159 a(\030) p Fp 1252 1159 a(\)) p Fk 1316 1159
a(2) p Fp 1410 1159 a(supp) p Fl 1628 1159 a(X) p Fm
1717 1123 a(+) p Fi 1709 1184 a(am) p Fp 1813 1159 a(.) p
1883 1159 a(This) p 2106 1159 a(enables) p 2448 1159
a(us) p 2573 1159 a(to) p 2692 1159 a(put) 945 1355 y([) p
Fl(H) p Fm 1053 1370 a(0) p Fl 1092 1355 a(;) p 1136
1355 a(p) p Fi 1185 1370 a(m) p Fp 1251 1355 a(]) p Fl(R) p
Fp 1353 1355 a(\() p Fl(E) p Fp 1491 1355 a(+) p Fl 1589
1355 a(i) p Fp(0;) p Fl 1715 1355 a(H) p Fm 1796 1370
a(0) p Fp 1835 1355 a(\)) 1887 1328 y(~) p Fl 1873 1355
a(\014) p Fm 1928 1370 a(+) p Fl 1987 1355 a(e) p Fh
2032 1313 a(\000) p Fi(i\022) p Fg 2144 1321 a(a) p Fl
2186 1355 a(X) p Fm 2275 1313 a(+) p Fi 2267 1379 a(am) p
Fp 2399 1355 a(=) p 2507 1355 a(~) p Fl 2503 1355 a(r) p
Fi 2547 1370 a(L) p Fp 0 1550 a(for) p 165 1550 a(the) p
348 1550 a(remainder) p 824 1550 a(term) p 1073 1550
a(on) p 1224 1550 a(the) p 1408 1550 a(righ) m(t) p 1659
1550 a(side) p 1870 1550 a(of) p 1997 1550 a(\(3.18\).) p
2363 1550 a(Th) m(us) p Fl 2626 1550 a(R) p Fp 2701 1550
a(\() p Fl(E) p Fp 2850 1550 a(+) p Fl 2958 1550 a(i) p
Fp(0;) p Fl 3084 1550 a(H) p Fi 3165 1565 a(a) p Fp 3207
1550 a(\)) p Fl(X) p Fm 3334 1514 a(+) p Fi 3326 1575
a(am) p Fp 3478 1550 a(is) 0 1670 y(appro) m(ximated) p
618 1670 a(as) p Fl 638 1866 a(R) p Fp 713 1866 a(\() p
Fl(E) p Fp 851 1866 a(+) p Fl 949 1866 a(i) p Fp(0;) p
Fl 1075 1866 a(H) p Fi 1156 1881 a(a) p Fp 1197 1866
a(\)) p Fl(X) p Fm 1324 1825 a(+) p Fi 1316 1891 a(am) p
Fk 1448 1866 a(\030) p Fl 1553 1866 a(e) p Fi 1598 1825
a(i\022) p Fg 1655 1833 a(a) p Fl 1697 1866 a(p) p Fi
1746 1881 a(m) p Fl 1812 1866 a(R) p Fp 1887 1866 a(\() p
Fl(E) p Fp 2026 1866 a(+) p Fl 2124 1866 a(i) p Fp(0;) p
Fl 2250 1866 a(H) p Fm 2331 1881 a(0) p Fp 2370 1866
a(\)) 2422 1840 y(~) p Fl 2408 1866 a(\014) p Fm 2463
1881 a(+) p Fl 2522 1866 a(e) p Fh 2567 1825 a(\000) p
Fi(i\022) p Fg 2679 1833 a(a) p Fl 2721 1866 a(X) p Fm
2810 1825 a(+) p Fi 2802 1891 a(am) p Fp 3294 1866 a(\(3.19\)) 0
2062 y(with) p 222 2062 a(error) p 461 2062 a(term) p
Fl 694 2062 a(R) p Fp 769 2062 a(\() p Fl(E) p Fp 907
2062 a(+) p Fl 1005 2062 a(i) p Fp(0;) p Fl 1131 2062
a(H) p Fi 1212 2077 a(a) p Fp 1253 2062 a(\)) t(~) p
Fl 1291 2062 a(r) p Fi 1335 2077 a(L) p Fp 1420 2062
a(for) p 1569 2062 a(an) m(y) p Fl 1753 2062 a(L) p Fk
1847 2062 a(\035) p Fp 1974 2062 a(1.) p 2094 2062 a(Similarly) p
2508 2062 a(w) m(e) p 2652 2062 a(ha) m(v) m(e) p Fl
622 2257 a(R) p Fp 697 2257 a(\() p Fl(E) p Fk 836 2257
a(\000) p Fl 935 2257 a(i) p Fp(0;) p Fl 1061 2257 a(H) p
Fi 1142 2272 a(a) p Fp 1183 2257 a(\)) p Fl(X) p Fh 1310
2216 a(\000) p Fi 1302 2282 a(am) p Fk 1434 2257 a(\030) p
Fl 1539 2257 a(e) p Fi 1584 2216 a(i\022) p Fg 1641 2224
a(a) p Fl 1683 2257 a(p) p Fi 1732 2272 a(m) p Fl 1799
2257 a(R) p Fp 1874 2257 a(\() p Fl(E) p Fk 2012 2257
a(\000) p Fl 2112 2257 a(i) p Fp(0;) p Fl 2238 2257 a(H) p
Fm 2319 2272 a(0) p Fp 2358 2257 a(\)) 2410 2231 y(~) p
Fl 2396 2257 a(\014) p Fh 2451 2272 a(\000) p Fl 2510
2257 a(e) p Fh 2555 2216 a(\000) p Fi(i\022) p Fg 2667
2224 a(a) p Fl 2709 2257 a(X) p Fh 2798 2216 a(\000) p
Fi 2790 2282 a(am) p Fl 2894 2257 a(:) p Fp 3294 2257
a(\(3.20\)) 0 2453 y(W) p 92 2453 a(e) p 168 2453 a(require) p
496 2453 a(a) p 577 2453 a(sligh) m(t) p 841 2453 a(mo) s(di\014cation)
p 1401 2453 a(to) p 1521 2453 a(construct) p 1949 2453
a(an) p 2085 2453 a(appro) m(ximation) p 2735 2453 a(for) p
Fl 754 2664 a(X) p Fh 843 2623 a(\000) p Fi 835 2689
a(am) p Fl 939 2664 a(R) p Fp 1014 2664 a(\() p Fl(E) p
Fp 1152 2664 a(+) p Fl 1250 2664 a(i) p Fp(0;) p Fl 1376
2664 a(H) p Fi 1457 2679 a(a) p Fp 1499 2664 a(\)) p
1564 2664 a(=) p Fj 1668 2568 a(\020) p Fl 1717 2664
a(R) p Fp 1792 2664 a(\() p Fl(E) p Fk 1930 2664 a(\000) p
Fl 2030 2664 a(i) p Fp(0;) p Fl 2156 2664 a(H) p Fi 2237
2679 a(a) p Fp 2278 2664 a(\)) p Fj 2333 2568 a(\020) p
Fl 2382 2664 a(X) p Fh 2471 2623 a(\000) p Fi 2463 2689
a(am) p Fj 2567 2568 a(\021) p Fh 2617 2591 a(\003) p
Fj 2656 2568 a(\021) p Fh 2706 2586 a(\003) p Fl 2762
2664 a(:) p Fp 0 2879 a(W) p 92 2879 a(e) p 168 2879
a(expand) p 507 2879 a(\() p Fl(X) p Fh 634 2843 a(\000) p
Fi 626 2904 a(am) p Fp 730 2879 a(\)) p Fh 768 2829 a(\003) p
Fp 840 2879 a(as) p 961 2879 a(\() p Fl 998 2879 a(X) p
Fh 1087 2843 a(\000) p Fi 1079 2904 a(am) p Fp 1184 2879
a(\)) p Fh 1221 2829 a(\003) p Fp 1289 2879 a(=) p Fl
1393 2879 a(X) p Fh 1482 2838 a(\000) p Fi 1474 2903
a(am;L) p Fp 1668 2879 a(+) p 1771 2879 a(~) p Fl 1766
2879 a(r) p Fi 1810 2894 a(L) p Fp 1895 2879 a(b) m(y) p
2031 2879 a(use) p 2200 2879 a(of) p 2311 2879 a(calculus) p
2681 2879 a(of) p 2792 2879 a(pseudo) s(di\013eren) m(tial) 0
2999 y(op) s(erators,) p 458 2999 a(where) p Fl 740 2999
a(X) p Fh 829 2958 a(\000) p Fi 821 3024 a(am;L) p Fp
993 2999 a(\() p Fl(x;) p 1130 2999 a(\030) p Fp 1178
2999 a(\)) p 1248 2999 a(has) p 1422 2999 a(supp) s(ort) p
1783 2999 a(in) p 1897 2999 a(\(3.16\)) p 2178 2999 a(and) p
2368 2999 a(satis\014es) p Fk 687 3218 a(j) p Fl(@) p
Fi 771 3177 a(\013) 766 3243 y(\030) p Fl 821 3218 a(@) p
Fi 877 3177 a(\014) 872 3243 y(x) p Fl 925 3218 a(X) p
Fh 1014 3177 a(\000) p Fi 1006 3243 a(am;L) p Fp 1177
3218 a(\() p Fl(x;) p 1314 3218 a(\030) p Fp 1362 3218
a(\)) p Fk(j) p 1455 3218 a(\024) p Fl 1560 3218 a(C) p
Fi 1630 3233 a(\013\014) s(L) p Fp 1787 3218 a(\() p
Fk(j) p Fl(x) p Fk 1930 3218 a(\000) p Fl 2030 3218 a(d) p
Fi 2081 3233 a(m) p Fk 2147 3218 a(j) p Fp 2197 3218
a(+) p Fl 2295 3218 a(d) p Fi 2346 3177 a(\033) p Fp
2393 3218 a(\)) p Fh 2430 3170 a(\000j) p Fi(\014) p
Fh 2548 3170 a(j) p Fk 2588 3218 a(h) p Fl(\030) p Fk
2675 3218 a(i) p Fh 2714 3177 a(\000j) p Fi(\013) p Fh(j) p
Fp 3294 3218 a(\(3.21\)) 0 3414 y(uniformly) p 445 3414
a(in) p Fl 559 3414 a(d) p Fk 638 3414 a(\035) p Fp 766
3414 a(1.) p 887 3414 a(W) p 979 3414 a(e) p 1055 3414
a(apply) p 1324 3414 a(the) p 1493 3414 a(same) p 1738
3414 a(argumen) m(t) p 2174 3414 a(as) p 2295 3414 a(ab) s(o) m(v) m(e)
p 2571 3414 a(to) p Fl 2691 3414 a(R) p Fp 2766 3414
a(\() p Fl(E) p Fk 2905 3414 a(\000) p Fl 3005 3414 a(i) p
Fp(0;) p Fl 3131 3414 a(H) p Fi 3212 3429 a(a) p Fp 3253
3414 a(\)) p Fl(X) p Fh 3380 3373 a(\000) p Fi 3372 3438
a(am;L) p Fp 0 3534 a(and) p 190 3534 a(w) m(e) p 333
3534 a(obtain) p Fl 534 3730 a(X) p Fh 623 3689 a(\000) p
Fi 615 3754 a(am) p Fl 719 3730 a(R) p Fp 794 3730 a(\() p
Fl(E) p Fp 932 3730 a(+) p Fl 1030 3730 a(i) p Fp(0;) p
Fl 1156 3730 a(H) p Fi 1237 3745 a(a) p Fp 1278 3730
a(\)) p Fk 1344 3730 a(\030) p Fj 1449 3633 a(\020) p
Fl 1499 3730 a(e) p Fi 1544 3689 a(i\022) p Fg 1601 3697
a(a) p Fl 1643 3730 a(p) p Fi 1692 3745 a(m) p Fl 1758
3730 a(R) p Fp 1833 3730 a(\() p Fl(E) p Fk 1971 3730
a(\000) p Fl 2071 3730 a(i) p Fp(0;) p Fl 2197 3730 a(H) p
Fm 2278 3745 a(0) p Fp 2317 3730 a(\)) 2369 3703 y(~) p
Fl 2355 3730 a(\014) p Fh 2410 3745 a(\000) p Fl 2469
3730 a(e) p Fh 2514 3689 a(\000) p Fi(i\022) p Fg 2626
3697 a(a) p Fl 2668 3730 a(X) p Fh 2757 3689 a(\000) p
Fi 2749 3754 a(am;L) p Fj 2921 3633 a(\021) p Fh 2970
3656 a(\003) p Fp 3294 3730 a(\(3.22\)) 0 3938 y(with) p
222 3938 a(error) p 461 3938 a(term) p 698 3938 a(~) p
Fl 694 3938 a(r) p Fi 738 3953 a(L) p Fl 790 3938 a(R) p
Fp 865 3938 a(\() p Fl(E) p Fp 1003 3938 a(+) p Fl 1101
3938 a(i) p Fp(0;) p Fl 1227 3938 a(H) p Fi 1308 3953
a(a) p Fp 1349 3938 a(\).) p 1458 3938 a(Similarly) p
1872 3938 a(w) m(e) p 2016 3938 a(ha) m(v) m(e) p Fl
512 4150 a(X) p Fm 601 4109 a(+) p Fi 593 4175 a(am) p
Fl 697 4150 a(R) p Fp 772 4150 a(\() p Fl(E) p Fk 910
4150 a(\000) p Fl 1010 4150 a(i) p Fp(0;) p Fl 1136 4150
a(H) p Fi 1217 4165 a(a) p Fp 1258 4150 a(\)) p Fk 1324
4150 a(\030) p Fj 1429 4054 a(\020) p Fl 1478 4150 a(e) p
Fi 1523 4109 a(i\022) p Fg 1580 4117 a(a) p Fl 1622 4150
a(p) p Fi 1671 4165 a(m) p Fl 1738 4150 a(R) p Fp 1813
4150 a(\() p Fl(E) p Fp 1951 4150 a(+) p Fl 2049 4150
a(i) p Fp(0;) p Fl 2175 4150 a(H) p Fm 2256 4165 a(0) p
Fp 2295 4150 a(\)) 2347 4124 y(~) p Fl 2333 4150 a(\014) p
Fm 2388 4165 a(+) p Fl 2447 4150 a(e) p Fh 2492 4109
a(\000) p Fi(i\022) p Fg 2604 4117 a(a) p Fl 2646 4150
a(X) p Fm 2735 4109 a(+) p Fi 2727 4175 a(am;L) p Fj
2899 4054 a(\021) p Fh 2948 4077 a(\003) p Fl 3004 4150
a(;) p Fp 0 4365 a(where) p Fl 282 4365 a(X) p Fm 371
4324 a(+) p Fi 363 4389 a(am;L) p Fp 534 4365 a(\() p
Fl(x;) p 671 4365 a(\030) p Fp 719 4365 a(\)) p 789 4365
a(has) p 963 4365 a(supp) s(ort) p 1324 4365 a(in) p
1438 4365 a(\(3.15\)) p 1720 4365 a(and) p 1910 4365
a(ob) s(eys) p 2181 4365 a(\(3.21\).) 146 4528 y(An) p
302 4528 a(appro) m(ximation) p 947 4528 a(for) p Fl
1092 4528 a(R) p Fp 1167 4528 a(\() p Fl(E) p Fk 1296
4528 a(\006) p Fl 1386 4528 a(i) p Fp(0;) p Fl 1512 4528
a(H) p Fi 1593 4543 a(a) p Fp 1634 4528 a(\)) p Fl(X) p
Fh 1761 4492 a(1) p Fi 1753 4553 a(am) p Fp 1885 4528
a(is) p 1979 4528 a(constructed) p 2500 4528 a(in) p
2609 4528 a(the) p 2773 4528 a(same) p 3013 4528 a(w) m(a) m(y) p
3206 4528 a(as) p 3321 4528 a(para-) 0 4649 y(metrices) p
385 4649 a(for) p 534 4649 a(elliptic) p 854 4649 a(op) s(erators.) p
1323 4649 a(The) p 1524 4649 a(sym) m(b) s(ol) p Fl 1858
4649 a(X) p Fh 1947 4612 a(1) p Fi 1939 4673 a(am) p
Fp 2043 4649 a(\() p Fl(x;) p 2180 4649 a(\030) p Fp
2228 4649 a(\)) p 2298 4649 a(has) p 2472 4649 a(supp) s(ort) p
2833 4649 a(in) p Fk 253 4858 a(fj) p Fl(x) p Fk 408
4858 a(\000) p Fl 508 4858 a(d) p Fi 559 4873 a(m) p
Fk 625 4858 a(j) p Fl 680 4858 a(>) p 784 4858 a(M) p
888 4858 a(d) p Fi 939 4817 a(\033) p Fl 986 4858 a(;) p
Fk 1076 4858 a(j) p Fj 1229 4819 a(d) p Fp 1104 4858
a(\() p Fl(x) p Fk 1220 4858 a(\000) p Fl 1319 4858 a(d) p
Fi 1370 4873 a(m) p Fp 1437 4858 a(\)) p Fk 1497 4858
a(\000) p Fl 1596 4858 a(\022) p Fk 1644 4858 a(j) p
Fl 1700 4858 a(<) p 1803 4858 a(\016) n(;) p Fk 1935
4858 a(j) p Fl(\030) p Fk 2011 4858 a(j) p Fm 2039 4817
a(2) p Fl 2105 4858 a(<) p 2208 4858 a(E) p 2286 4858
a(=) p Fp(2) p 2431 4858 a(or) p Fk 2564 4858 a(j) p
Fl(\030) p Fk 2640 4858 a(j) p Fm 2668 4817 a(2) p Fl
2734 4858 a(>) p Fp 2837 4858 a(2) p Fl(E) p Fk 2964
4858 a(g) p Fl(:) p Fp 3294 4858 a(\(3.23\)) 0 5054 y(If) p
Fl 91 5054 a(\022) p Fp 164 5054 a(satis\014es) p 517
5054 a(\(3.12\),) p 820 5054 a(then) p 1036 5054 a(the) p
1197 5054 a(sym) m(b) s(ol) p Fl 1524 5054 a(H) p Fi
1605 5069 a(a) p Fp 1646 5054 a(\() p Fl(x;) p 1783 5054
a(\030) p Fp 1831 5054 a(\)) p 1894 5054 a(of) p Fl 1999
5054 a(H) p Fi 2080 5069 a(a) p Fp 2147 5054 a(b) s(eha) m(v) m(es) p
2504 5054 a(lik) m(e) p Fl 2676 5054 a(H) p Fi 2757 5069
a(a) p Fp 2798 5054 a(\() p Fl(x;) p 2935 5054 a(\030) p
Fp 2983 5054 a(\)) p Fk 3048 5054 a(\030) p 3153 5054
a(j) p Fl(\030) p Fk 3229 5054 a(j) p Fm 3257 5018 a(2) p
Fp 3321 5054 a(when) p Fk 0 5188 a(j) p Fj 153 5149 a(d) p
Fp 28 5188 a(\() p Fl(x) p Fk 143 5188 a(\000) p Fl 243
5188 a(d) p Fi 294 5203 a(m) p Fp 360 5188 a(\)) p Fk
413 5188 a(\000) p Fl 505 5188 a(\022) p Fk 553 5188
a(j) p 610 5188 a(\034) p Fp 737 5188 a(1) p 815 5188
a(and) p Fk 1001 5188 a(j) p Fl(x) p Fk 1099 5188 a(\000) p
Fl 1191 5188 a(d) p Fi 1242 5203 a(m) p Fk 1310 5188
a(j) p 1365 5188 a(\035) p Fp 1493 5188 a(1.) p 1611
5188 a(Hence) p 1897 5188 a(\() p Fl(H) p Fi 2016 5203
a(a) p Fp 2058 5188 a(\() p Fl(x;) p 2195 5188 a(\030) p
Fp 2243 5188 a(\)) p Fk 2302 5188 a(\000) p Fl 2402 5188
a(E) p Fp 2480 5188 a(\)) p Fh 2518 5140 a(\000) p Fm(1) p
Fp 2642 5188 a(is) p 2736 5188 a(uniformly) p 3177 5188
a(b) s(ounded) 0 5308 y(on) p 135 5308 a(supp) p Fl 353
5308 a(X) p Fh 442 5272 a(1) p Fi 434 5333 a(am) p Fp
538 5308 a(.) p 609 5308 a(Th) m(us) p 856 5308 a(the) p
1024 5308 a(appro) m(ximation) p 1674 5308 a(for) p Fl
1823 5308 a(R) p Fp 1898 5308 a(\() p Fl(E) p Fk 2036
5308 a(\006) p Fl 2136 5308 a(i) p Fp(0;) p Fl 2262 5308
a(H) p Fi 2343 5323 a(a) p Fp 2384 5308 a(\)) p Fl(X) p
Fh 2511 5272 a(1) p Fi 2503 5333 a(am) p Fp 2640 5308
a(tak) m(es) p 2889 5308 a(the) p 3057 5308 a(form) p
Fl 782 5504 a(R) p Fp 857 5504 a(\() p Fl(E) p Fp 995
5504 a(+) p Fl 1093 5504 a(i) p Fp(0;) p Fl 1219 5504
a(H) p Fi 1300 5519 a(a) p Fp 1341 5504 a(\)) p Fl(X) p
Fh 1468 5463 a(1) p Fi 1460 5529 a(am) p Fp 1592 5504
a(=) p Fl 1695 5504 a(X) p Fh 1784 5463 a(1) p Fi 1776
5529 a(am;L) p Fp 1970 5504 a(+) p Fl 2068 5504 a(R) p
Fp 2143 5504 a(\() p Fl(E) p Fp 2281 5504 a(+) p Fl 2379
5504 a(i) p Fp(0;) p Fl 2505 5504 a(H) p Fi 2586 5519
a(a) p Fp 2628 5504 a(\)) t(~) p Fl 2666 5504 a(r) p
Fi 2710 5519 a(L) p Fp 3294 5504 a(\(3.24\)) 1723 5753
y(14) p 90 rotate dyy eop
%%Page: 15 15
15 14 bop Fp 0 407 a(for) p 144 407 a(some) p 383 407
a(pseudo) s(di\013eren) m(tial) p 1162 407 a(op) s(erator) p
Fl 1550 407 a(X) p Fh 1639 371 a(1) p Fi 1631 431 a(am;L) p
Fp 1802 407 a(\() p Fl(x;) p 1939 407 a(D) p Fi 2020
422 a(x) p Fp 2064 407 a(\),) p 2158 407 a(where) p Fl
2435 407 a(X) p Fh 2524 371 a(1) p Fi 2516 431 a(am;L) p
Fp 2687 407 a(\() p Fl(x;) p 2824 407 a(\030) p Fp 2872
407 a(\)) p 2937 407 a(has) p 3106 407 a(supp) s(ort) p
3462 407 a(in) 0 527 y(\(3.23\)) p 271 527 a(and) p 450
527 a(ob) s(eys) p 711 527 a(\(3.21\).) p 1028 527 a(The) p
1218 527 a(appro) m(ximation) p 1857 527 a(for) p Fl
1996 527 a(X) p Fh 2085 491 a(1) p Fi 2077 552 a(am) p
Fl 2181 527 a(R) p Fp 2256 527 a(\() p Fl(E) p Fk 2372
527 a(\006) p Fl 2450 527 a(i) p Fp(0;) p Fl 2576 527
a(H) p Fi 2657 542 a(a) p Fp 2699 527 a(\)) p 2759 527
a(can) p 2927 527 a(b) s(e) p 3050 527 a(constructed) 0
648 y(in) p 114 648 a(a) p 195 648 a(similar) p 515 648
a(w) m(a) m(y) p 671 648 a(.) 146 815 y(W) p 238 815
a(e) p 314 815 a(use) p 483 815 a(another) p 841 815
a(decomp) s(osition) p Fl 814 1024 a(V) p Fi 871 1039
a(am) p Fp 975 1024 a(\() p Fl(\022) p Fp 1061 1024 a(\)) p
1127 1024 a(=) p Fl 1230 1024 a(Y) p Fi 1287 1039 a(am) p
Fp 1391 1024 a(\() p Fl(\022) p Fp 1477 1024 a(\)) p
1537 1024 a(+) p Fl 1635 1024 a(Y) p Fm 1713 983 a(+) p
Fi 1692 1049 a(am) p Fp 1796 1024 a(\() p Fl(\022) p
Fp 1882 1024 a(\)) p 1942 1024 a(+) p Fl 2040 1024 a(Y) p
Fh 2118 983 a(\000) p Fi 2097 1049 a(am) p Fp 2200 1024
a(\() p Fl(\022) p Fp 2286 1024 a(\)) p 2347 1024 a(+) p
Fl 2445 1024 a(Y) p Fh 2523 983 a(1) p Fi 2502 1049 a(am) p
Fp 2605 1024 a(\() p Fl(\022) p Fp 2691 1024 a(\)) p
3294 1024 a(\(3.25\)) 0 1233 y(to) p 119 1233 a(pro) m(v) m(e) p
381 1233 a(\(1.13\),) p 689 1233 a(where) p Fl 970 1233
a(Y) p Fi 1027 1248 a(am) p Fp 1158 1233 a(=) p Fl 1262
1233 a(h) p Fi 1318 1248 a(m) p Fl 1385 1233 a(V) p Fi
1442 1248 a(am) p Fp 1577 1233 a(with) p Fl 1799 1233
a(h) p Fi 1855 1248 a(m) p Fp 1949 1233 a(=) p Fl 2053
1233 a(\037) p Fp(\() p Fk(j) p Fl(x) p Fk 2256 1233
a(\000) p Fl 2354 1233 a(d) p Fi 2405 1248 a(m) p Fk
2471 1233 a(j) p Fl(=) p 2543 1233 a(M) p 2647 1233 a(d) p
Fm 2698 1197 a(1) p Fi(=) p Fm(2+) p Fi(\033) p Fp 2905
1233 a(\)) p Fl(;) p 3019 1233 a(M) p Fk 3151 1233 a(\035) p
Fp 3278 1233 a(1,) p 3386 1233 a(and) p Fl 695 1442 a(Y) p
Fh 773 1401 a(\006) p Fi 752 1467 a(am) p Fp 883 1442
a(=) p 987 1442 a(\(1) p Fk 1096 1442 a(\000) p Fl 1195
1442 a(h) p Fi 1251 1457 a(m) p Fp 1318 1442 a(\)) p
Fl(V) p Fi 1413 1457 a(am) p Fl 1517 1442 a(\014) p Fh
1572 1457 a(\006) p Fl 1631 1442 a(;) p 1870 1442 a(Y) p
Fh 1948 1401 a(1) p Fi 1927 1467 a(am) p Fp 2058 1442
a(=) p 2162 1442 a(\(1) p Fk 2270 1442 a(\000) p Fl 2370
1442 a(h) p Fi 2426 1457 a(m) p Fp 2493 1442 a(\)) p
Fl(V) p Fi 2588 1457 a(am) p Fl 2692 1442 a(\014) p Fh
2747 1457 a(1) p Fl 2821 1442 a(:) p Fp 0 1652 a(W) p
92 1652 a(e) p 161 1652 a(can) p 333 1652 a(construct) p
755 1652 a(appro) m(ximations) p 1437 1652 a(for) p Fl
1579 1652 a(Y) p Fh 1657 1616 a(\006) p Fi 1636 1676
a(am) p Fp 1765 1652 a(and) p Fl 1948 1652 a(Y) p Fh
2026 1616 a(1) p Fi 2005 1676 a(am) p Fp 2134 1652 a(in) p
2241 1652 a(exactly) p 2570 1652 a(the) p 2731 1652 a(same) p
2969 1652 a(w) m(a) m(y) p 3159 1652 a(as) p 3272 1652
a(ab) s(o) m(v) m(e.) 0 1772 y(F) p 56 1772 a(or) p 175
1772 a(example,) p 584 1772 a(w) m(e) p 728 1772 a(ha) m(v) m(e) p
Fl 648 1981 a(R) p Fp 723 1981 a(\() p Fl(E) p Fp 862
1981 a(+) p Fl 960 1981 a(i) p Fp(0;) p Fl 1086 1981
a(H) p Fi 1167 1996 a(a) p Fp 1208 1981 a(\)) p Fl(Y) p
Fm 1324 1940 a(+) p Fi 1303 2006 a(am) p Fk 1434 1981
a(\030) p Fl 1539 1981 a(e) p Fi 1584 1940 a(i\022) p
Fg 1641 1948 a(a) p Fl 1683 1981 a(p) p Fi 1732 1996
a(m) p Fl 1799 1981 a(R) p Fp 1874 1981 a(\() p Fl(E) p
Fp 2012 1981 a(+) p Fl 2110 1981 a(i) p Fp(0;) p Fl 2236
1981 a(H) p Fm 2317 1996 a(0) p Fp 2356 1981 a(\)) 2408
1955 y(~) p Fl 2394 1981 a(\014) p Fm 2449 1996 a(+) p
Fl 2508 1981 a(e) p Fh 2553 1940 a(\000) p Fi(i\022) p
Fg 2665 1948 a(a) p Fl 2707 1981 a(Y) p Fm 2785 1940
a(+) p Fi 2764 2006 a(am) p Fl 2868 1981 a(:) p Fp 3294
1981 a(\(3.26\)) 146 2358 y(W) p 238 2358 a(e) p 313
2358 a(consider) p 692 2358 a(the) p 859 2358 a(case) p
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dyy eop
%%Page: 16 16
16 15 bop Fp 0 430 a(and) p 195 430 a(that) p Fk 412
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1811 3047 a(appro) m(ximation) p 2461 3047 a(for) p Fl
825 3266 a(R) p Fp 900 3266 a(\() p Fl(E) p Fk 1039 3266
a(\006) p Fl 1138 3266 a(i) p Fp(0;) p Fl 1264 3266 a(K) p
Fi 1347 3281 a(am) p Fp 1451 3266 a(\() p Fl(\022) p
Fp 1537 3266 a(\)\)) p 1641 3266 a(=) p Fl 1744 3266
a(e) p Fi 1789 3224 a(iq) p Fg 1845 3232 a(m) p Fl 1908
3266 a(R) p Fp 1983 3266 a(\() p Fl(E) p Fk 2121 3266
a(\006) p Fl 2221 3266 a(i) p Fp(0;) p Fl 2347 3266 a(H) p
Fi 2428 3281 a(b) p Fp 2462 3266 a(\)) p Fl(e) p Fh 2545
3224 a(\000) p Fi(iq) p Fg 2656 3232 a(m) p Fp 3294 3266
a(\(3.30\)) 0 3484 y(with) p Fl 222 3484 a(b) p Fp 291
3484 a(=) p Fl 395 3484 a(a) p Fk 468 3484 a(n) p 540
3484 a(f) p Fl(m) p Fk(g) p Fp 758 3484 a(can) p 937
3484 a(b) s(e) p 1069 3484 a(constructed) p 1596 3484
a(b) m(y) p 1731 3484 a(replacing) p 2148 3484 a(the) p
2316 3484 a(phase) p 2588 3484 a(function) p Fl 2970
3484 a(\022) p Fi 3015 3499 a(a) p Fp 3089 3484 a(b) m(y) p
Fl 925 3702 a(\022) p Fi 970 3717 a(am) p Fp 1075 3702
a(\() p Fl(x) p Fp(\)) p 1234 3702 a(=) p Fj 1337 3619
a(X) p Fi 1342 3804 a(j) p Fh 1375 3804 a(2) p Fi(b) p
Fl 1474 3702 a(\013) p Fi 1536 3717 a(j) p Fl 1572 3702
a(\015) p Fp 1628 3702 a(\() p Fl(x) p Fk 1744 3702 a(\000) p
Fl 1843 3702 a(d) p Fi 1894 3717 a(j) p Fp 1931 3702
a(;) p Fk 1975 3702 a(\000) p Fl(\022) p Fp 2100 3702
a(\)) p 2160 3702 a(+) p Fl 2258 3702 a(q) p Fi 2301
3717 a(m) p Fp 2368 3702 a(\() p Fl(x) p Fp(;) p Fl 2505
3702 a(\022) p Fp 2553 3702 a(\)) p Fl(:) p Fq 146 4119
a(4.) p 271 4119 a(Pro) s(of) p 580 4119 a(of) p 708
4119 a(Theorem) p 1183 4119 a(1.1) p Fp 146 4338 a(In) p
260 4338 a(this) p 442 4338 a(section) p 759 4338 a(w) m(e) p
895 4338 a(pro) m(v) m(e) p 1149 4338 a(Theorem) p 1553
4338 a(1.1.) p 1745 4338 a(Recall) p 2031 4338 a(that) p
Fl 2234 4338 a(s) p Fi 2280 4353 a(j) p Fp 2317 4338
a(\() p Fl(x) p Fp(\)) p 2472 4338 a(denotes) p 2817
4338 a(the) p 2976 4338 a(c) m(haracteristic) 0 4458
y(function) p 384 4458 a(of) p 497 4458 a(set) p Fl 651
4458 a(S) p Fi 711 4473 a(j) p Fp 782 4458 a(de\014ned) p
1120 4458 a(b) m(y) p 1257 4458 a(\(1.12\),) p 1568 4458
a(while) p Fl 1825 4458 a(b) p Fi 1866 4473 a(j) p Fp
1903 4458 a(\() p Fl(x) p Fp(\)) p 2068 4458 a(denotes) p
2423 4458 a(the) p 2593 4458 a(c) m(haracteristic) p
3194 4458 a(function) 0 4579 y(of) p 111 4579 a(set) p
Fl 709 4699 a(B) p Fi 783 4714 a(j) p Fp 847 4699 a(=) p
Fk 951 4699 a(f) p Fl(x) p Fk 1083 4699 a(2) p Fn 1178
4699 a(R) p Fm 1265 4657 a(2) p Fp 1332 4699 a(:) p Fk
1387 4699 a(j) p Fl(x) p Fk 1492 4699 a(\000) p Fl 1592
4699 a(d) p Fi 1643 4714 a(j) p Fk 1679 4699 a(j) p Fl
1734 4699 a(<) p 1838 4699 a(C) p 1915 4699 a(d) p Fm
1966 4658 a(1) p Fi(=) p Fm(2+) p Fi(\033) p Fk 2173
4699 a(g) p Fl(;) p Fp 2364 4699 a(1) p Fk 2440 4699
a(\024) p Fl 2546 4699 a(j) p Fk 2619 4699 a(\024) p
Fl 2724 4699 a(N) p 2807 4699 a(;) p Fp 3343 4699 a(\(4.1\)) 0
4873 y(with) p Fl 222 4873 a(C) p 327 4873 a(>) p Fp
430 4873 a(1.) p 550 4873 a(W) p 642 4873 a(e) p 718
4873 a(write) p Fl 967 4873 a(r) p Fh 1011 4888 a(\006) p
Fi(\027) p Fp 1141 4873 a(for) p 1290 4873 a(the) p 1458
4873 a(m) m(ultiplication) p 2084 4873 a(op) s(erator) p
Fl 1329 5091 a(r) p Fh 1373 5106 a(\006) p Fi(\027) p
Fp 1499 5091 a(=) p 1602 5091 a(\() p Fk(j) p Fl(x) p
Fk(j) p Fm 1751 5050 a(2) p Fp 1813 5091 a(+) p Fl 1911
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Fh 2039 5050 a(\007) p Fi(\027) p Fk 2137 5091 a(\002) p
Fp 3343 5091 a(\(4.2\)) 0 5309 y(with) p Fl 222 5309
a(\027) p Fk 305 5309 a(\035) p Fp 432 5309 a(1.) p 551
5309 a(The) p 752 5309 a(pro) s(of) p 1007 5309 a(is) p
1105 5309 a(based) p 1377 5309 a(on) p 1512 5309 a(the) p
1680 5309 a(follo) m(wing) p 2092 5309 a(theorem) p 2472
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3185 5309 a(estimate) 0 5430 y(for) p Fl 149 5430 a(H) p
Fi 230 5445 a(a) p Fp 299 5430 a(=) p Fl 403 5430 a(H) p
Fp 492 5430 a(\() p Fl(A) p Fi 603 5445 a(a) p Fp 644
5430 a(\)) p 714 5430 a(de\014ned) p 1050 5430 a(b) m(y) p
1186 5430 a(\(3.1\)) p 1419 5430 a(for) p 1568 5430 a(subset) p
Fl 1867 5430 a(a) p Fk 1946 5430 a(\032) p 2051 5430
a(f) p Fp(1) p Fl(;) p Fp 2194 5430 a(2) p Fl(;) p 2287
5430 a(:) p 2331 5430 a(:) p 2375 5430 a(:) p 2417 5430
a(;) p 2461 5430 a(N) p Fk 2549 5430 a(g) p Fp(.) 1723
5753 y(16) p 90 rotate dyy eop
%%Page: 17 17
17 16 bop Fq 0 407 a(Theorem) p 475 407 a(4.1) p Fo 667
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Fo 1266 407 a(that) p Fp 1466 407 a(\(1) p Fl(:) p Fp(4\)) p
Fo(.) p 1741 407 a(Set) p Fl 540 611 a(s) p Fi 586 626
a(j) p Fm 619 626 a(1) p Fp 658 611 a(\() p Fl(x) p Fp(\)) p
817 611 a(=) p Fl 921 611 a(s) p Fi 967 626 a(j) p Fp
1003 611 a(\() p Fl(x) p Fp(\)) p Fk(h) p Fl(x) p Fk
1251 611 a(\000) p Fl 1350 611 a(d) p Fi 1401 626 a(j) p
Fk 1437 611 a(i) p Fh 1476 570 a(\000) p Fm(1) p Fi(=) p
Fm(2) p Fl 1641 611 a(;) p 1884 611 a(b) p Fi 1925 626
a(j) p Fm 1958 626 a(1) p Fp 1997 611 a(\() p Fl(x) p
Fp(\)) p 2156 611 a(=) p Fl 2260 611 a(b) p Fi 2301 626
a(j) p Fp 2338 611 a(\() p Fl(x) p Fp(\)) p Fk(h) p Fl(x) p
Fk 2585 611 a(\000) p Fl 2685 611 a(d) p Fi 2736 626
a(j) p Fk 2772 611 a(i) p Fh 2811 570 a(\000) p Fm(1) p
Fi(=) p Fm(2) p Fl 2976 611 a(:) p Fo 0 815 a(Then) p
254 815 a(one) p 438 815 a(has) p 613 815 a(the) p 775
815 a(fol) p 885 815 a(lowing) p 1188 815 a(statements) p
1674 815 a(:) p Fp 146 981 a(\(1\)) p Fo 306 981 a(If) p
Fl 408 981 a(\027) p Fk 490 981 a(\035) p Fp 618 981
a(1) p Fo 701 981 a(is) p 806 981 a(lar) p 917 981 a(ge) p
1041 981 a(enough,) p 1402 981 a(then) p Fk 1028 1185
a(k) p Fl(r) p Fi 1122 1200 a(\027) p Fl 1164 1185 a(R) p
Fp 1239 1185 a(\() p Fl(E) p Fk 1378 1185 a(\006) p Fl
1477 1185 a(i) p Fp(0;) p Fl 1603 1185 a(H) p Fi 1684
1200 a(a) p Fp 1726 1185 a(\)) p Fl(r) p Fi 1808 1200
a(\027) p Fk 1851 1185 a(k) p Fp 1983 1185 a(=) p Fl
2142 1185 a(O) p Fp 2220 1185 a(\() p Fl(d) p Fh 2309
1144 a(\000) p Fi(\027) p Fp 2406 1185 a(\)) p Fl(;) p
Fp 3343 1185 a(\(4.3\)) p Fk 1001 1330 a(k) p Fl(r) p
Fi 1095 1345 a(\027) p Fl 1138 1330 a(R) p Fp 1213 1330
a(\() p Fl(E) p Fk 1352 1330 a(\006) p Fl 1451 1330 a(i) p
Fp(0;) p Fl 1577 1330 a(H) p Fi 1658 1345 a(a) p Fp 1699
1330 a(\)) p Fl(b) p Fi 1778 1345 a(j) p Fm 1811 1345
a(1) p Fk 1851 1330 a(k) p Fp 1983 1330 a(=) p Fl 2142
1330 a(O) p Fp 2220 1330 a(\() p Fl(d) p Fh 2309 1289
a(\000) p Fi(\027) t(=) p Fm(2) p Fp 2477 1330 a(\)) p
Fl(:) p Fp 3343 1330 a(\(4.4\)) 146 1534 y(\(2\)) p Fo
306 1534 a(If) p Fp 409 1534 a(0) p Fl 487 1534 a(<) p
591 1534 a(\033) p Fk 679 1534 a(\034) p Fp 808 1534
a(1) p Fo 892 1534 a(is) p 997 1534 a(smal) p 1197 1534
a(l) p 1257 1534 a(enough,) p 1618 1534 a(then) p 1836
1534 a(ther) p 1999 1534 a(e) p 2079 1534 a(exists) p
Fl 2346 1534 a(c) p 2417 1534 a(>) p Fp 2522 1534 a(0) p
Fo 2606 1534 a(indep) p 2831 1534 a(endent) p 3147 1534
a(of) p Fl 3262 1534 a(\033) p Fo 3357 1534 a(such) 0
1655 y(that) p Fk 1100 1775 a(k) p Fl(b) p Fi 1191 1790
a(j) p Fm 1224 1790 a(1) p Fl 1263 1775 a(R) p Fp 1338
1775 a(\() p Fl(E) p Fk 1476 1775 a(\006) p Fl 1576 1775
a(i) p Fp(0;) p Fl 1702 1775 a(H) p Fi 1783 1790 a(a) p
Fp 1824 1775 a(\)) p Fl(b) p Fi 1903 1790 a(k) p Fm 1942
1790 a(1) p Fk 1981 1775 a(k) p Fp 2059 1775 a(=) p Fl
2162 1775 a(O) p Fp 2240 1775 a(\() p Fl(d) p Fi 2329
1734 a(c\033) p Fp 2406 1775 a(\)) p 3343 1775 a(\(4.5\)) p
Fo 0 1943 a(and) p 189 1943 a(that) p Fk 915 2147 a(k) p
Fl(b) p Fi 1006 2162 a(j) p Fm 1039 2162 a(1) p Fl 1078
2147 a(R) p Fp 1153 2147 a(\() p Fl(E) p Fk 1291 2147
a(\006) p Fl 1391 2147 a(i) p Fp(0;) p Fl 1517 2147 a(H) p
Fi 1598 2162 a(a) p Fp 1639 2147 a(\)) p Fl(s) p Fi 1723
2162 a(k) p Fm 1762 2162 a(1) p Fk 1801 2147 a(k) p Fp
1934 2147 a(=) p Fl 2092 2147 a(O) p Fp 2170 2147 a(\() p
Fl(d) p Fh 2259 2106 a(\000) p Fm(1) p Fi(=) p Fm(4+) p
Fi(c\033) p Fp 2551 2147 a(\)) p Fl(;) p Fp 3343 2147
a(\(4.6\)) p Fk 910 2292 a(k) p Fl(s) p Fi 1006 2307
a(j) p Fm 1039 2307 a(1) p Fl 1078 2292 a(R) p Fp 1153
2292 a(\() p Fl(E) p Fk 1291 2292 a(\006) p Fl 1391 2292
a(i) p Fp(0;) p Fl 1517 2292 a(H) p Fi 1598 2307 a(a) p
Fp 1639 2292 a(\)) p Fl(s) p Fi 1723 2307 a(k) p Fm 1762
2307 a(1) p Fk 1801 2292 a(k) p Fp 1934 2292 a(=) p Fl
2092 2292 a(O) p Fp 2170 2292 a(\() p Fl(d) p Fh 2259
2251 a(\000) p Fm(1) p Fi(=) p Fm(2+) p Fi(c\033) p Fp
2551 2292 a(\)) p 3343 2292 a(\(4.7\)) p Fo 0 2496 a(for) p
Fl 156 2496 a(j) p Fk 229 2496 a(6) p Fp(=) p Fl 333
2496 a(k) p Fo 387 2496 a(.) p Fp 146 2752 a(The) p 349
2752 a(resolv) m(en) m(t) p 760 2752 a(estimate) p 1153
2752 a(\(1.13\)) p 1437 2752 a(is) p 1537 2752 a(obtained) p
1940 2752 a(as) p 2061 2752 a(an) p 2199 2752 a(immediate) p
2677 2752 a(consequence) p 3230 2752 a(of) p 3343 2752
a(\(4.7\)) 0 2872 y(in) p 112 2872 a(the) p 278 2872
a(ab) s(o) m(v) m(e) p 553 2872 a(theorem.) p 969 2872
a(W) p 1061 2872 a(e) p 1135 2872 a(pro) s(ceed) p 1494
2872 a(to) p 1611 2872 a(the) p 1777 2872 a(pro) s(of) p
2030 2872 a(of) p 2139 2872 a(Theorem) p 2549 2872 a(1.1,) p
2732 2872 a(accepting) p 3164 2872 a(Theorem) 0 2992
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632 2992 a(The) p 832 2992 a(pro) s(of) p 1087 2992 a(is) p
1185 2992 a(done) p 1418 2992 a(in) p 1532 2992 a(the) p
1700 2992 a(next) p 1920 2992 a(section.) p Fo 0 3158
a(Pr) p 102 3158 a(o) p 147 3158 a(of) p 264 3158 a(of) p
380 3158 a(The) p 540 3158 a(or) p 626 3158 a(em) p 787
3158 a(1.1.) p Fp 1044 3158 a(The) p 1247 3158 a(scattering) p
1699 3158 a(amplitude) p Fl 2162 3158 a(f) p Fi 2210
3173 a(d) p Fp 2282 3158 a(=) p Fl 2390 3158 a(f) p Fi
2438 3173 a(d) p Fp 2478 3158 a(\() p Fl(!) p Fk 2612
3158 a(!) p Fp 2751 3158 a(~) p Fl 2743 3158 a(!) p Fp
2807 3158 a(;) p Fl 2851 3158 a(E) p Fp 2929 3158 a(\)) p
3002 3158 a(is) p 3102 3158 a(de\014ned) p 3440 3158
a(b) m(y) 0 3278 y(\(2.2\)) p 226 3278 a(through) p 588
3278 a(the) p 749 3278 a(scattering) p 1193 3278 a(k) m(ernel.) p
1516 3278 a(W) p 1608 3278 a(e) p 1677 3278 a(follo) m(w) p
1952 3278 a(the) p 2113 3278 a(argumen) m(t) p 2542 3278
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1568 3399 a(R) p Fp 1643 3399 a(\() p Fl(E) p Fp 1785
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a(H) p Fi 2093 3414 a(d) p Fp 2133 3399 a(\).) p 2258
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Fp 2835 3399 a(\() p Fl(\030) p Fp 2921 3399 a(\)) p
2996 3399 a(and) 3205 3372 y(~) p Fl 3191 3399 a(\014) p
Fp 3252 3399 a(\() p Fl(\030) p Fp 3338 3399 a(\)) p
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Fl 615 3723 a(\014) p Fp 676 3723 a(\() p Fl(\030) p
Fp 762 3723 a(\)) p 827 3723 a(=) p Fl 930 3723 a(\037) p
Fp(\() p Fk(j) p Fl(\030) p Fk 1126 3723 a(\000) 1226
3634 y(p) p 1309 3634 79 4 v Fl 1309 3723 a(E) p 1387
3723 a(!) p Fk 1452 3723 a(j) p Fl(=\016) p Fm 1576 3682
a(2) p Fp 1614 3723 a(\)) p Fl(;) p Fp 1905 3697 a(~) p
Fl 1891 3723 a(\014) p Fp 1952 3723 a(\() p Fl(\030) p
Fp 2038 3723 a(\)) p 2103 3723 a(=) p Fl 2206 3723 a(\037) p
Fp(\() p Fk(j) p Fl(\030) p Fk 2402 3723 a(\000) 2502
3634 y(p) p 2585 3634 V Fl 2585 3723 a(E) p Fp 2671 3723
a(~) p Fl 2663 3723 a(!) p Fk 2727 3723 a(j) p Fl(=\016) p
Fm 2851 3682 a(2) p Fp 2890 3723 a(\)) 0 3927 y(and) p
190 3927 a(that) p Fl 401 3927 a(e) p Fm 446 3942 a(0) p
Fp 486 3927 a(\() p Fl(x) p Fp(\)) p 650 3927 a(and) p
843 3927 a(~) p Fl 839 3927 a(e) p Fm 884 3942 a(0) p
Fp 924 3927 a(\() p Fl(x) p Fp(\)) p 1088 3927 a(ha) m(v) m(e) p
1313 3927 a(the) p 1481 3927 a(prop) s(erties) 687 4132
y(supp) p Fl 905 4132 a(e) p Fm 950 4147 a(0) p Fk 1017
4132 a(\032) p Fp 1122 4132 a(\006\() p Fl(d) p Fi 1281
4090 a(\033) p Fl 1328 4132 a(;) p 1372 4132 a(!) t(;) p
1481 4132 a(\016) p Fp 1528 4132 a(\)) p Fl(;) p 1855
4132 a(e) p Fm 1900 4147 a(0) p Fp 1968 4132 a(=) p 2071
4132 a(1) p 2167 4132 a(on) p 2316 4132 a(\006\(2) p
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Fl 827 4277 a(e) p Fm 872 4292 a(0) p Fk 940 4277 a(\032) p
Fp 1045 4277 a(\006\() p Fl(d) p Fi 1204 4236 a(\033) p
Fl 1251 4277 a(;) p Fk 1295 4277 a(\000) p Fp 1380 4277
a(~) p Fl 1372 4277 a(!) s(;) p 1480 4277 a(\016) p Fp
1527 4277 a(\)) p Fl(;) p Fp 1859 4277 a(~) p Fl 1855
4277 a(e) p Fm 1900 4292 a(0) p Fp 1968 4277 a(=) p 2071
4277 a(1) p 2167 4277 a(on) p 2316 4277 a(\006\(2) p
Fl(d) p Fi 2524 4236 a(\033) p Fl 2571 4277 a(;) p Fk
2615 4277 a(\000) p Fp 2700 4277 a(~) p Fl 2692 4277
a(!) s(;) p Fp 2800 4277 a(2) p Fl(\016) p Fp 2896 4277
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a(=) p 421 4481 a(min) p Fk 617 4481 a(j) p Fl(d) p Fi
696 4496 a(j) t(k) p Fk 770 4481 a(j) p 832 4481 a(\035) p
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2158 4481 a(!) t(;) p 2267 4481 a(\016) p Fp 2314 4481
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3344 4481 a(e) p 3424 4481 a(set) p Fl 0 4601 a(e) p
Fi 45 4616 a(j) p Fp 82 4601 a(\() p Fl(x) p Fp(\)) p
241 4601 a(=) p Fl 344 4601 a(e) p Fm 389 4616 a(0) p
Fp 429 4601 a(\() p Fl(x) p Fk 531 4601 a(\000) p Fl
617 4601 a(d) p Fi 668 4616 a(j) p Fp 704 4601 a(\)) p
768 4601 a(and) p Fl 951 4601 a(e) p Fp(\() p Fl(x) p
Fp(\)) p 1155 4601 a(=) p Fj 1259 4535 a(Q) p Fi 1337
4561 a(N) 1337 4626 y(j) p Fm 1370 4626 a(=1) p Fl 1481
4601 a(e) p Fi 1526 4616 a(j) p Fp 1562 4601 a(\() p
Fl(x) p Fp(\),) p 1748 4601 a(and) p 1931 4601 a(similarly) p
2323 4601 a(for) p 2469 4601 a(~) p Fl 2466 4601 a(e) p
Fi 2511 4616 a(j) p Fp 2548 4601 a(\() p Fl(x) p Fp(\)) p
2705 4601 a(and) p 2892 4601 a(~) p Fl 2888 4601 a(e) p
Fp(\() p Fl(x) p Fp(\).) p 3133 4601 a(W) p 3225 4601
a(e) p 3294 4601 a(de\014ne) p Fl 0 4740 a(J) p Fm 54
4755 a(+) p Fp 141 4740 a(=) p Fl 244 4740 a(e) p Fp
323 4740 a(exp) q(\() p Fl(i\022) p Fi 588 4755 a(d) p
Fp 629 4740 a(\)) p Fl(\014) p Fp 760 4740 a(and) 973
4714 y(~) p Fl 949 4740 a(J) p Fm 1003 4755 a(+) p Fp
1090 4740 a(=) p 1197 4740 a(~) p Fl 1194 4740 a(e) p
Fp 1272 4740 a(exp) q(\() p Fl(i) p Fp 1500 4713 a(~) p
Fl 1492 4740 a(\022) p Fi 1537 4755 a(d) p Fp 1578 4740
a(\)) 1630 4713 y(~) p Fl 1616 4740 a(\014) p Fp 1677
4740 a(,) p 1736 4740 a(where) p Fl 2018 4740 a(\014) p
Fp 2106 4740 a(=) p Fl 2210 4740 a(\014) p Fp 2271 4740
a(\() p Fl(D) p Fi 2390 4755 a(x) p Fp 2433 4740 a(\)) p
Fl(;) p Fp 2562 4713 a(~) p Fl 2548 4740 a(\014) p Fp
2636 4740 a(=) 2753 4713 y(~) p Fl 2739 4740 a(\014) p
Fp 2800 4740 a(\() p Fl(D) p Fi 2919 4755 a(x) p Fp 2963
4740 a(\)) p 3033 4740 a(and) p Fl 575 5018 a(\022) p
Fi 620 5033 a(d) p Fp 661 5018 a(\() p Fl(x) p Fp(\)) p
820 5018 a(=) p Fi 953 4910 a(N) p Fj 925 4935 a(X) p
Fi 924 5117 a(j) p Fm 957 5117 a(=1) p Fl 1063 5018 a(\013) p
Fi 1125 5033 a(j) p Fl 1161 5018 a(\015) p Fp 1217 5018
a(\() p Fl(x) p Fk 1333 5018 a(\000) p Fl 1432 5018 a(d) p
Fi 1483 5033 a(j) p Fp 1520 5018 a(;) p Fl 1564 5018
a(!) p Fp 1629 5018 a(\)) p Fl(;) p Fp 1912 4992 a(~) p
Fl 1904 5018 a(\022) p Fi 1949 5033 a(d) p Fp 2018 5018
a(=) p Fi 2151 4910 a(N) p Fj 2123 4935 a(X) p Fi 2122
5117 a(j) p Fm 2155 5117 a(=1) p Fl 2261 5018 a(\013) p
Fi 2323 5033 a(j) p Fl 2359 5018 a(\015) p Fp 2415 5018
a(\() p Fl(x) p Fk 2531 5018 a(\000) p Fl 2630 5018 a(d) p
Fi 2681 5033 a(j) p Fp 2718 5018 a(;) p Fk 2762 5018
a(\000) p Fp 2847 5018 a(~) p Fl 2839 5018 a(!) p Fp
2903 5018 a(\)) p Fl(:) p Fp 0 5300 a(W) p 92 5300 a(e) p
168 5300 a(can) p 347 5300 a(calculate) p Fl 422 5504
a(T) p Fp 520 5504 a(=) p Fl 624 5504 a(H) p Fi 705 5519
a(d) p Fl 745 5504 a(J) p Fm 799 5519 a(+) p Fk 880 5504
a(\000) p Fl 980 5504 a(J) p Fm 1034 5519 a(+) p Fl 1093
5504 a(H) p Fm 1174 5519 a(0) p Fp 1241 5504 a(=) p 1344
5504 a(exp) q(\() p Fl(i\022) p Fi 1609 5519 a(d) p Fp
1651 5504 a(\)[) p Fl(H) p Fm 1797 5519 a(0) p Fl 1836
5504 a(;) p 1880 5504 a(e) p Fp(]) p Fl(\014) p 2013
5504 a(;) p Fp 2270 5479 a(~) p Fl 2251 5504 a(T) p Fp
2350 5504 a(=) p 2453 5504 a(exp) q(\() p Fl(i) p Fp
2681 5478 a(~) p Fl 2673 5504 a(\022) p Fi 2718 5519
a(d) p Fp 2759 5504 a(\)[) p Fl(H) p Fm 2905 5519 a(0) p
Fl 2945 5504 a(;) p Fp 2992 5504 a(~) p Fl 2989 5504
a(e) p Fp(]) 3075 5478 y(~) p Fl 3061 5504 a(\014) p
Fp 1723 5753 a(17) p 90 rotate dyy eop
%%Page: 18 18
18 17 bop Fp 0 407 a(b) m(y) p 135 407 a(making) p 480
407 a(use) p 648 407 a(of) p 759 407 a(relation) p 1117
407 a(\(2.6\),) p 1377 407 a(and) p 1567 407 a(w) m(e) p
1710 407 a(obtain) p Fl 491 627 a(f) p Fi 539 642 a(d) p
Fp 607 627 a(=) p 711 627 a(\() p Fl(ic) p Fp(\() p Fl(E) p
Fp 940 627 a(\)) p Fl(=) p Fp(4) p Fl(\031) p Fp 1135
627 a(\)\() p Fl(R) p Fp 1286 627 a(\() p Fl(E) p Fp
1424 627 a(+) p Fl 1522 627 a(i) p Fp(0;) p Fl 1648 627
a(H) p Fi 1729 642 a(d) p Fp 1769 627 a(\)) p Fl(T) p
1878 627 a(') p Fm 1942 642 a(0) p Fp 1981 627 a(\() p
Fl(!) t(;) p 2128 627 a(E) p Fp 2206 627 a(\)) p Fl(;) p
Fp 2305 602 a(~) p Fl 2288 627 a(T) p 2357 627 a(') p
Fm 2421 642 a(0) p Fp 2460 627 a(\() p 2506 627 a(~) p
Fl 2498 627 a(!) t(;) p 2607 627 a(E) p Fp 2685 627 a(\)\)) p
2782 627 a(+) p Fl 2880 627 a(o) p Fp(\(1\)) p 3343 627
a(\(4.8\)) 0 847 y(b) m(y) p 135 847 a(rep) s(eating) p
566 847 a(the) p 734 847 a(same) p 979 847 a(argumen) m(t) p
1415 847 a(as) p 1535 847 a(used) p 1758 847 a(to) p
1877 847 a(deriv) m(e) p 2164 847 a(\(2.14\).) p 2484
847 a(W) p 2576 847 a(e) p 2652 847 a(set) p Fl 664 1141
a(\037) p Fi 725 1156 a(j) p Fp 762 1141 a(\() p Fl(x) p
Fp(\)) p 921 1141 a(=) p Fl 1024 1141 a(\037) p Fp(\() p
Fk(j) p Fl(x) p Fk 1229 1141 a(\000) p Fl 1328 1141 a(d) p
Fi 1379 1156 a(j) p Fk 1416 1141 a(j) p Fl(=) p Fp(2) p
Fl(d) p Fi 1593 1100 a(\033) p Fp 1638 1141 a(\)) p Fl(;) p
1915 1141 a(\037) p Fh 1976 1156 a(1) p Fp 2051 1141
a(\() p Fl(x) p Fp(\)) p 2210 1141 a(=) p 2313 1141 a(1) p
Fk 2384 1141 a(\000) p Fi 2514 1033 a(N) p Fj 2485 1058
a(X) p Fi 2484 1241 a(j) p Fm 2517 1241 a(=1) p Fl 2623
1141 a(\037) p Fi 2684 1156 a(j) p Fp 2721 1141 a(\() p
Fl(x) p Fp(\)) p Fl(:) p Fp 0 1439 a(If) p Fl 98 1439
a(k) p Fk 179 1439 a(6) p Fp(=) p Fl 283 1439 a(j) p
Fp 329 1439 a(,) p 388 1439 a(then) p Fl 611 1439 a(e) p
Fi 656 1454 a(k) p Fp 726 1439 a(=) p 830 1439 a(1) p
911 1439 a(on) p 1046 1439 a(supp) p Fl 1264 1439 a(\037) p
Fi 1325 1454 a(j) p Fp 1362 1439 a(,) p 1421 1439 a(and) p
1611 1439 a(w) m(e) p 1755 1439 a(can) p 1934 1439 a(decomp) s(ose) p
Fl 2425 1439 a(T) p Fp 2528 1439 a(in) m(to) p 2726 1439
a(the) p 2894 1439 a(sum) p Fl 1352 1736 a(T) p Fp 1451
1736 a(=) p Fi 1584 1628 a(N) p Fj 1556 1653 a(X) p Fi
1554 1836 a(j) p Fm 1587 1836 a(=1) p Fp 1693 1736 a(\() p
Fl(T) p Fi 1788 1751 a(j) p Fp 1847 1736 a(+) p Fl 1945
1736 a(T) p Fi 2002 1751 a(j) p Fh 2035 1751 a(1) p Fp
2109 1736 a(\)) p Fl 2164 1736 a(;) p Fp 0 2039 a(where) p
Fl 282 2039 a(T) p Fi 339 2054 a(j) p Fp 403 2039 a(=) p
Fl 507 2039 a(\037) p Fi 568 2054 a(j) p Fp 621 2039
a(exp) q(\() p Fl(i\022) p Fi 886 2054 a(d) p Fp 927
2039 a(\)[) p Fl(H) p Fm 1073 2054 a(0) p Fl 1112 2039
a(;) p 1156 2039 a(e) p Fi 1201 2054 a(j) p Fp 1238 2039
a(]) p Fl(\014) p Fp 1358 2039 a(and) p Fl 764 2259 a(T) p
Fi 821 2274 a(j) p Fh 854 2274 a(1) p Fp 956 2259 a(=) p
Fl 1059 2259 a(\037) p Fh 1120 2274 a(1) p Fp 1212 2259
a(exp) q(\() p Fl(i\022) p Fi 1477 2274 a(d) p Fp 1518
2259 a(\)) p Fl(e) p Fm 1601 2274 a(1) p Fl 1657 2259
a(:) p 1701 2259 a(:) p 1745 2259 a(:) p 1788 2259 a(e) p
Fi 1833 2274 a(j) p Fh 1866 2274 a(\000) p Fm(1) p Fp
1960 2259 a([) p Fl(H) p Fm 2068 2274 a(0) p Fl 2107
2259 a(;) p 2151 2259 a(e) p Fi 2196 2274 a(j) p Fp 2233
2259 a(]) p Fl(e) p Fi 2305 2274 a(j) p Fm 2338 2274
a(+1) p Fl 2448 2259 a(:) p 2492 2259 a(:) p 2536 2259
a(:) p 2579 2259 a(e) p Fi 2624 2274 a(N) p Fl 2692 2259
a(\014) p 2753 2259 a(:) p Fp 0 2495 a(Similarly) p 423
2495 a(w) m(e) p 575 2495 a(decomp) s(ose) 1093 2470
y(~) p Fl 1074 2495 a(T) p Fp 1185 2495 a(in) m(to) 1410
2470 y(~) p Fl 1391 2495 a(T) p Fp 1503 2495 a(=) p Fj
1621 2428 a(P) p Fi 1708 2455 a(N) 1708 2519 y(j) p Fm
1741 2519 a(=1) p Fj 1852 2399 a(\020) p Fp 1920 2470
a(~) p Fl 1901 2495 a(T) p Fi 1958 2510 a(j) p Fp 2017
2495 a(+) 2134 2470 y(~) p Fl 2115 2495 a(T) p Fi 2172
2510 a(j) p Fh 2205 2510 a(1) p Fj 2279 2399 a(\021) p
Fp 2329 2495 a(.) p 2424 2495 a(The) p 2633 2495 a(sym) m(b) s(ol) p
Fl 2974 2495 a(T) p Fi 3031 2510 a(j) p Fh 3064 2510
a(1) p Fp 3139 2495 a(\() p Fl(x;) p 3276 2495 a(\030) p
Fp 3324 2495 a(\)) p 3402 2495 a(has) 0 2615 y(supp) s(ort) p
361 2615 a(in) p 475 2615 a(the) p 643 2615 a(outgoing) p
1044 2615 a(region) 123 2844 y(supp) p Fl 341 2844 a(T) p
Fi 398 2859 a(j) p Fh 431 2859 a(1) p Fk 533 2844 a(\032) p
638 2844 a(f) p Fp(\() p Fl(x;) p 825 2844 a(\030) p
Fp 873 2844 a(\)) p 938 2844 a(:) p Fk 992 2844 a(j) p
Fl(x) p Fk 1098 2844 a(\000) p Fl 1197 2844 a(d) p Fi
1248 2859 a(j) p Fk 1284 2844 a(j) p Fl 1340 2844 a(>) p
Fp 1443 2844 a(2) p Fl(d) p Fi 1543 2803 a(\033) p Fl
1590 2844 a(;) p Fk 1680 2844 a(j) p Fl(\030) p Fk 1777
2844 a(\000) 1877 2755 y(p) p 1960 2755 79 4 v Fl 1960
2844 a(E) p 2038 2844 a(!) p Fk 2103 2844 a(j) p Fl 2157
2844 a(<) p Fp 2261 2844 a(2) p Fl(\016) p Fm 2357 2803
a(2) p Fl 2396 2844 a(;) p Fj 2597 2805 a(d) p Fp 2486
2844 a(\() p Fl(x) p Fk 2602 2844 a(\000) p Fl 2701 2844
a(d) p Fi 2752 2859 a(j) p Fp 2789 2844 a(\)) p Fk 2849
2844 a(\001) p Fp 2909 2817 a(^) p Fl 2899 2844 a(\030) p
2974 2844 a(>) p Fp 3077 2844 a(1) p Fk 3148 2844 a(\000) p
Fp 3248 2844 a(3) p Fl(\016) p Fk 3344 2844 a(g) p Fl(;) p
Fp 0 3064 a(while) 274 3039 y(~) p Fl 255 3064 a(T) p
Fi 312 3079 a(j) p Fh 345 3079 a(1) p Fp 419 3064 a(\() p
Fl(x;) p 556 3064 a(\030) p Fp 604 3064 a(\)) p 674 3064
a(has) p 848 3064 a(supp) s(ort) p 1209 3064 a(in) p
1323 3064 a(the) p 1491 3064 a(incoming) p 1908 3064
a(region) 85 3301 y(supp) 322 3276 y(~) p Fl 303 3301
a(T) p Fi 360 3316 a(j) p Fh 393 3316 a(1) p Fk 495 3301
a(\032) p 600 3301 a(f) p Fp(\() p Fl(x;) p 787 3301
a(\030) p Fp 835 3301 a(\)) p 900 3301 a(:) p Fk 954
3301 a(j) p Fl(x) p Fk 1060 3301 a(\000) p Fl 1159 3301
a(d) p Fi 1210 3316 a(j) p Fk 1247 3301 a(j) p Fl 1302
3301 a(>) p Fp 1405 3301 a(2) p Fl(d) p Fi 1505 3260
a(\033) p Fl 1552 3301 a(;) p Fk 1642 3301 a(j) p Fl(\030) p
Fk 1739 3301 a(\000) 1839 3212 y(p) p 1922 3212 V Fl
1922 3301 a(E) p Fp 2008 3301 a(~) p Fl 2000 3301 a(!) p
Fk 2064 3301 a(j) p Fl 2120 3301 a(<) p Fp 2223 3301
a(2) p Fl(\016) p Fm 2319 3260 a(2) p Fl 2358 3301 a(;) p
Fj 2559 3262 a(d) p Fp 2448 3301 a(\() p Fl(x) p Fk 2564
3301 a(\000) p Fl 2664 3301 a(d) p Fi 2715 3316 a(j) p
Fp 2751 3301 a(\)) p Fk 2811 3301 a(\001) p Fp 2871 3274
a(^) p Fl 2861 3301 a(\030) p 2936 3301 a(<) p Fk 3039
3301 a(\000) p Fp(1) p 3188 3301 a(+) p 3286 3301 a(3) p
Fl(\016) p Fk 3382 3301 a(g) p Fl(:) p Fp 0 3532 a(W) p
92 3532 a(e) p 175 3532 a(no) m(w) p 385 3532 a(use) p
560 3532 a(the) p 735 3532 a(assumption) p 1258 3532
a(that) p Fl 1476 3532 a(!) p Fk 1580 3532 a(6) p Fp(=) 1712
3506 y(^) p Fl 1695 3532 a(d) p Fi 1746 3547 a(j) t(k) p
Fp 1860 3532 a(and) p 2064 3532 a(~) p Fl 2057 3532 a(!) p
Fk 2160 3532 a(6) p Fp(=) 2293 3506 y(^) p Fl 2276 3532
a(d) p Fi 2327 3547 a(j) t(k) p Fp 2401 3532 a(.) p 2492
3532 a(This) p 2722 3532 a(assumption) p 3245 3532 a(implies) 0
3652 y(that) p 212 3652 a(the) p 380 3652 a(outgoing) p
781 3652 a(classical) p 1157 3652 a(particle) p 1509
3652 a(starting) p 1874 3652 a(from) p 2104 3652 a(supp) p
Fl 2322 3652 a(T) p Fi 2379 3667 a(j) p Fh 2412 3667
a(1) p Fp 2519 3652 a(at) p Fl 2639 3652 a(t) p Fp 2702
3652 a(=) p 2806 3652 a(0) p 2888 3652 a(passes) p 3183
3652 a(far) p 3332 3652 a(a) m(w) m(a) m(y) 0 3773 y(from) p
242 3773 a(all) p 389 3773 a(the) p 568 3773 a(cen) m(ters) p
Fl 908 3773 a(d) p Fi 959 3788 a(k) p Fp 1045 3773 a(for) p
Fl 1206 3773 a(t) p 1288 3773 a(>) p Fp 1411 3773 a(0) p
1504 3773 a(and) p 1705 3773 a(mo) m(v) m(es) p 2007
3773 a(lik) m(e) p 2197 3773 a(the) p 2377 3773 a(free) p
2575 3773 a(particle.) p 3000 3773 a(This) p 3234 3773
a(enables) 0 3893 y(us) p 127 3893 a(to) p 249 3893 a(construct) p
680 3893 a(an) p 818 3893 a(appro) m(ximation) p 1470
3893 a(to) p Fl 1592 3893 a(R) p Fp 1667 3893 a(\() p
Fl(E) p Fp 1807 3893 a(+) p Fl 1906 3893 a(i) p Fp(0;) p
Fl 2032 3893 a(H) p Fi 2113 3908 a(d) p Fp 2153 3893
a(\)) p Fl(T) p Fi 2248 3908 a(j) p Fh 2281 3908 a(1) p
Fp 2390 3893 a(in) p 2507 3893 a(a) p 2590 3893 a(form) p
2823 3893 a(similar) p 3145 3893 a(to) p 3267 3893 a(\(3.19\).) 0
4014 y(Similarly) p 425 4014 a(the) p 603 4014 a(incoming) p
1030 4014 a(particle) p 1392 4014 a(starting) p 1766
4014 a(from) p 2007 4014 a(supp) 2243 3988 y(~) p Fl
2224 4014 a(T) p Fi 2281 4029 a(j) p Fh 2314 4029 a(1) p
Fp 2431 4014 a(do) s(es) p 2661 4014 a(not) p 2845 4014
a(pass) p 3067 4014 a(around) p 3408 4014 a(the) 0 4134
y(cen) m(ters) p 324 4134 a(for) p Fl 469 4134 a(t) p
532 4134 a(<) p Fp 635 4134 a(0,) p 740 4134 a(and) p
Fl 925 4134 a(R) p Fp 1000 4134 a(\() p Fl(E) p Fk 1130
4134 a(\000) p Fl 1220 4134 a(i) p Fp(0;) p Fl 1346 4134
a(H) p Fi 1427 4149 a(d) p Fp 1468 4134 a(\)) 1525 4109
y(~) p Fl 1506 4134 a(T) p Fi 1563 4149 a(j) p Fh 1596
4149 a(1) p Fp 1698 4134 a(can) p 1872 4134 a(b) s(e) p
2001 4134 a(appro) m(ximated) p 2614 4134 a(as) p 2730
4134 a(in) p 2839 4134 a(\(3.20\).) p 3157 4134 a(Since) p
3408 4134 a(the) 0 4254 y(outgoing) p 398 4254 a(and) p
584 4254 a(incoming) p 998 4254 a(particles) p 1385 4254
a(do) p 1517 4254 a(not) p 1687 4254 a(tak) m(e) p 1895
4254 a(momen) m(tum) p 2404 4254 a(around) p Fk 2731
4170 a(p) p 2814 4170 V Fl 2814 4254 a(E) p Fp 2900 4254
a(~) p Fl 2892 4254 a(!) p Fp 2986 4254 a(and) p Fk 3172
4170 a(p) p 3255 4170 V Fl 3255 4254 a(E) p 3333 4254
a(!) p Fp 3427 4254 a(for) p Fl 0 4375 a(t) p 63 4375
a(>) p Fp 166 4375 a(0) p 248 4375 a(and) p Fl 437 4375
a(t) p 500 4375 a(<) p Fp 604 4375 a(0) p 685 4375 a(resp) s(ectiv) m
(ely) p 1173 4375 a(,) p 1236 4375 a(w) m(e) p 1379 4375
a(obtain) p 1683 4375 a(b) m(y) p 1818 4375 a(Theorem) p
2230 4375 a(4.1) p 2387 4375 a(that) 573 4570 y(~) p
Fl 554 4595 a(T) p Fh 625 4554 a(\003) p Fi 611 4619
a(k) p Fl 664 4595 a(R) p Fp 739 4595 a(\() p Fl(E) p
Fp 877 4595 a(+) p Fl 975 4595 a(i) p Fp(0;) p Fl 1101
4595 a(H) p Fi 1182 4610 a(d) p Fp 1222 4595 a(\)) p
Fl(T) p Fi 1317 4610 a(j) p Fh 1350 4610 a(1) p Fp 1452
4595 a(=) p 1560 4595 a(~) p Fl 1555 4595 a(r) p Fi 1599
4610 a(L) p Fl 1651 4595 a(;) p 1890 4595 a(T) p Fh 1961
4554 a(\003) p Fi 1947 4619 a(k) p Fl 2000 4595 a(R) p
Fp 2075 4595 a(\() p Fl(E) p Fk 2214 4595 a(\000) p Fl
2313 4595 a(i) p Fp(0;) p Fl 2439 4595 a(H) p Fi 2520
4610 a(d) p Fp 2560 4595 a(\)) 2617 4570 y(~) p Fl 2598
4595 a(T) p Fi 2655 4610 a(j) p Fh 2688 4610 a(1) p Fp
2790 4595 a(=) p 2898 4595 a(~) p Fl 2894 4595 a(r) p
Fi 2938 4610 a(L) p Fp 3343 4595 a(\(4.9\)) 0 4815 y(for) p
149 4815 a(an) m(y) p Fl 333 4815 a(L) p Fk 427 4815
a(\035) p Fp 554 4815 a(1,) p 663 4815 a(where) p 949
4815 a(~) p Fl 944 4815 a(r) p Fi 988 4830 a(L) p Fp
1068 4815 a(:) p Fl 1123 4815 a(L) p Fm 1189 4779 a(2) p
Fk 1256 4815 a(!) p Fl 1383 4815 a(L) p Fm 1449 4779
a(2) p Fp 1522 4815 a(has) p 1695 4815 a(the) p 1863
4815 a(prop) s(ert) m(y) p 2261 4815 a(\(3.17\).) p 2581
4815 a(W) p 2673 4815 a(e) p 2749 4815 a(can) p 2927
4815 a(also) p 3123 4815 a(sho) m(w) p 3364 4815 a(that) 1212
5010 y(~) p Fl 1193 5035 a(T) p Fh 1264 4994 a(\003) p
Fi 1250 5059 a(k) p Fh 1289 5059 a(1) p Fl 1363 5035
a(R) p Fp 1438 5035 a(\() p Fl(E) p Fp 1576 5035 a(+) p
Fl 1674 5035 a(i) p Fp(0;) p Fl 1800 5035 a(H) p Fi 1881
5050 a(d) p Fp 1921 5035 a(\)) p Fl(T) p Fi 2016 5050
a(j) p Fh 2049 5050 a(1) p Fp 2151 5035 a(=) p 2259 5035
a(~) p Fl 2255 5035 a(r) p Fi 2299 5050 a(L) p Fp 3294
5035 a(\(4.10\)) 0 5255 y(and) p 190 5255 a(hence) p
461 5255 a(w) m(e) p 604 5255 a(ha) m(v) m(e) 716 5475
y(\() p Fl(R) p Fp 829 5475 a(\() p Fl(E) p Fp 967 5475
a(+) p Fl 1065 5475 a(i) p Fp(0;) p Fl 1191 5475 a(H) p
Fi 1272 5490 a(d) p Fp 1312 5475 a(\)) p Fl(T) p Fi 1407
5490 a(j) p Fh 1440 5490 a(1) p Fl 1515 5475 a(') p Fm
1579 5490 a(0) p Fp 1618 5475 a(\() p Fl(!) t(;) p 1765
5475 a(E) p Fp 1843 5475 a(\)) p Fl(;) p Fp 1943 5450
a(~) p Fl 1925 5475 a(T) p Fi 1982 5490 a(k) p Fh 2021
5490 a(1) p Fl 2094 5475 a(') p Fm 2158 5490 a(0) p Fp
2197 5475 a(\() p 2243 5475 a(~) p Fl 2235 5475 a(!) t(;) p
2344 5475 a(E) p Fp 2422 5475 a(\)\)) p 2525 5475 a(=) p
Fl 2628 5475 a(o) p Fp(\(1\)) p Fl(:) p Fp 3294 5475
a(\(4.11\)) 1723 5753 y(18) p 90 rotate dyy eop
%%Page: 19 19
19 18 bop Fp 0 407 a(The) p 202 407 a(rigorous) p 577
407 a(pro) s(of) p 833 407 a(of) p 946 407 a(\(4.9\)) p
1180 407 a(and) p 1371 407 a(\(4.10\)) p 1654 407 a(requires) p
2021 407 a(the) p 2191 407 a(lemma) p 2506 407 a(b) s(elo) m(w) p
2784 407 a(\(Lemma) p 3171 407 a(4.1\).) p 3408 407 a(W) p
3500 407 a(e) 0 527 y(pro) m(v) m(e) p 266 527 a(them) p
518 527 a(after) p 751 527 a(completing) p 1253 527 a(the) p
1424 527 a(pro) s(of) p 1681 527 a(of) p 1796 527 a(the) p
1966 527 a(theorem.) p 2393 527 a(If) p 2493 527 a(w) m(e) p
2640 527 a(use) p 2811 527 a(\(4.7\)) p 3047 527 a(in) p
3164 527 a(Theorem) 0 648 y(4.1,) p 184 648 a(then) 800
768 y(\() p Fl(R) p Fp 913 768 a(\() p Fl(E) p Fp 1051
768 a(+) p Fl 1149 768 a(i) p Fp(0;) p Fl 1275 768 a(H) p
Fi 1356 783 a(d) p Fp 1397 768 a(\)) p Fl(T) p Fi 1492
783 a(j) p Fl 1528 768 a(') p Fm 1592 783 a(0) p Fp 1631
768 a(\() p Fl(!) t(;) p 1778 768 a(E) p Fp 1856 768
a(\)) p Fl(;) p Fp 1956 743 a(~) p Fl 1938 768 a(T) p
Fi 1995 783 a(k) p Fl 2037 768 a(') p Fm 2101 783 a(0) p
Fp 2140 768 a(\() p 2186 768 a(~) p Fl 2178 768 a(!) t(;) p
2287 768 a(E) p Fp 2365 768 a(\)\)) p 2468 768 a(=) p
Fl 2571 768 a(o) p Fp(\(1\)) 0 931 y(for) p Fl 149 931
a(j) p Fk 223 931 a(6) p Fp(=) p Fl 326 931 a(k) p Fp
380 931 a(,) p 440 931 a(and) p 630 931 a(hence) p 901
931 a(it) p 998 931 a(follo) m(ws) p 1318 931 a(from) p
1549 931 a(\(4.8\)) p 1782 931 a(that) p Fl 385 1200
a(f) p Fi 433 1215 a(d) p Fp 501 1200 a(=) p 605 1200
a(\() p Fl(ic) p Fp(\() p Fl(E) p Fp 834 1200 a(\)) p
Fl(=) p Fp(4) p Fl(\031) p Fp 1029 1200 a(\)) p Fi 1113
1093 a(N) p Fj 1084 1117 a(X) p Fi 1083 1300 a(j) p Fm
1116 1300 a(=1) p Fp 1206 1200 a(\() p Fl(R) p Fp 1319
1200 a(\() p Fl(E) p Fp 1457 1200 a(+) p Fl 1555 1200
a(i) p Fp(0;) p Fl 1681 1200 a(H) p Fi 1762 1215 a(d) p
Fp 1802 1200 a(\)) p Fl(T) p Fi 1897 1215 a(j) p Fl 1933
1200 a(') p Fm 1997 1215 a(0) p Fp 2037 1200 a(\() p
Fl(!) t(;) p 2184 1200 a(E) p Fp 2262 1200 a(\)) p Fl(;) p
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521 3496 a(E) p Fp 599 3496 a(\)) p 664 3496 a(=) p 768
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1122 3496 a(exp\() p Fl(i\013) p Fi 1403 3511 a(j) p
Fl 1440 3496 a(\015) p Fp 1496 3496 a(\() p Fl(x) p Fk
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a(j) p Fp 1799 3496 a(;) p Fk 1843 3496 a(\000) p Fp
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Fi 2394 3511 a(j) p Fp 2430 3496 a(]) p Fl(') p Fm 2521
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Fl(d) p Fh 3110 3455 a(\000) p Fm(1+) p Fi(\033) p Fp
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3691 a(2) p Fp 146 3854 a(W) p 238 3854 a(e) p 312 3854
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3854 a(pro) s(of) p 1203 3854 a(of) p 1311 3854 a(\(4.9\),) p
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eop
%%Page: 20 20
20 19 bop Fo 146 407 a(Pr) p 248 407 a(o) p 293 407 a(of.) p
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658 1588 a(y) p Fp 710 1588 a(\)) p 775 1588 a(=) p 878
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Fh 2857 1604 a(\000) p Fi(\027) t(=) p Fm(3) p Fp 3024
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1850 a(\001) p Fl 1286 1850 a(\030) p Fp 1334 1850 a(.) p
1441 1850 a(By) p 1606 1850 a(assumption,) p Fk 2165
1850 a(jr) p Fi 2276 1865 a(\030) p Fl 2313 1850 a( ) p
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1850 a(;) p 2589 1850 a(y) p Fp 2641 1850 a(\)) p Fk(j) p
2754 1850 a(\025) p Fl 2880 1850 a(c) p Fp 2939 1850
a(\() p Fl 2976 1850 a(t) p Fp 3034 1850 a(+) p Fk 3132
1850 a(j) p Fl(y) p Fk 3212 1850 a(j) p Fp(\)) p 3321
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Fl 558 1970 a(g) p Fm 605 1985 a(+) p Fk 685 1970 a(\002) p
Fp 785 1970 a(supp) p Fl 1003 1970 a(f) p Fm 1051 1985
a(+) p Fp 1110 1970 a(.) p 1180 1970 a(If) p Fl 1278
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a(in) m(tegration) p 2628 1970 a(yields) p Fk 806 2190
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1781 2821 a(smo) s(oth) p 2134 2821 a(sym) m(b) s(ol) p
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a(it) p 3032 2821 a(has) p 3215 2821 a(supp) s(ort) 0
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3121 a(\003) p Fi 2562 3186 a(k) p Fl 2615 3162 a(R) p
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a(j) p Fh 3035 3517 a(1) p Fp 3154 3502 a(=) p 3279 3502
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3502 a(.) p 3470 3502 a(A) 0 3623 y(similar) p 327 3623
a(argumen) m(t) p 769 3623 a(applies) p 1101 3623 a(to) p
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Fk 1555 3623 a(\000) p Fl 1659 3623 a(i) p Fp(0;) p Fl
1785 3623 a(H) p Fi 1866 3638 a(d) p Fp 1906 3623 a(\)) 1963
3597 y(~) p Fl 1944 3623 a(T) p Fi 2001 3638 a(j) p Fh
2034 3638 a(1) p Fp 2108 3623 a(,) p 2176 3623 a(and) p
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110 3743 a(\(4.10\)) p 391 3743 a(is) p 488 3743 a(done) p
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255 3984 a(w) m(e) p 398 3984 a(ha) m(v) m(e) 528 4178
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4228 a(k) p Fh 605 4228 a(1) p Fl 679 4204 a(R) p Fp
754 4204 a(\() p Fl(E) p Fp 893 4204 a(+) p Fl 991 4204
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4436 a(and) p 1454 4436 a(of) p 1565 4436 a(\(4.3\)) p
1798 4436 a(in) p 1912 4436 a(Theorem) p 2324 4436 a(4.1.) 146
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279 4727 a(fact) p 471 4727 a(that) p Fk 330 4947 a(k) p
Fl(s) p Fi 426 4962 a(j) p Fp 479 4947 a(\() p Fl(R) p
Fp 592 4947 a(\() p Fl(E) p Fk 731 4947 a(\006) p Fl
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a(a) p Fp 1078 4947 a(\)) p Fk 1138 4947 a(\000) p Fl
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a(H) p Fi 1758 4962 a(j) p Fp 1794 4947 a(\)\)) p Fl
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2866 5167 a(on) p 2999 5167 a(the) p 3164 5167 a(follo) m(wing) 0
5287 y(lemma.) 1723 5753 y(20) p 90 rotate dyy eop
%%Page: 21 21
21 20 bop Fq 0 407 a(Lemma) p 397 407 a(4.2) p Fo 589
407 a(Assume) p 958 407 a(that) p Fl 1162 407 a(m) p
Fk 1284 407 a(2) p Fl 1388 407 a(a) p Fo 1479 407 a(and) p
Fl 1673 407 a(\022) p Fk 1758 407 a(2) p Fl 1861 407
a(S) p Fm 1927 371 a(1) p Fo 2006 407 a(ful\014l) p 2198
407 a(l) p Fp 2263 407 a(\(3) p Fl(:) p Fp(12\)) p Fo(.) p
2602 407 a(L) p 2658 407 a(et) p Fl 2775 407 a(X) p Fh
2864 371 a(\006) p Fi 2856 431 a(am) p Fp 2997 407 a(=) p
Fl 3110 407 a(X) p Fh 3199 371 a(\006) p Fi 3191 431
a(am) p Fp 3295 407 a(\() p Fl(\022) p Fp 3381 407 a(\)) p
Fo 3459 407 a(b) p 3499 407 a(e) 0 527 y(de\014ne) p
245 527 a(d) p 327 527 a(by) p Fp 452 527 a(\(3) p Fl(:) p
Fp(14\)) p Fo 734 527 a(and) p 921 527 a(let) p Fl 1056
527 a(b) p Fi 1097 542 a(j) p Fp 1134 527 a(\() p Fl(x) p
Fp(\)) p Fo 1298 527 a(b) p 1338 527 a(e) p 1416 527
a(the) p 1576 527 a(char) p 1757 527 a(acteristic) p
2179 527 a(function) p 2561 527 a(of) p Fl 2673 527 a(B) p
Fi 2747 542 a(j) p Fo 2817 527 a(de\014ne) p 3062 527
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670 697 a(that) p Fl 869 697 a(H) p Fi 950 712 a(a) p
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Fl(x) p Fk 824 917 a(\000) p Fl 923 917 a(y) p Fk 997
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917 a(d) p Fi 1498 876 a(\033) p Fl 1544 917 a(;) p Fp
1688 917 a(\() p Fl(y) t(;) p 1822 917 a(\030) p Fp 1870
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Fl 2245 917 a(X) p Fm 2334 876 a(+) p Fi 2326 942 a(am) p
Fl 2430 917 a(;) p 2520 917 a(x) p Fk 2604 917 a(2) p
Fl 2698 917 a(B) p Fi 2772 932 a(l) p Fl 2798 917 a(;) p
Fo 0 1137 a(for) p Fl 156 1137 a(t) p 219 1137 a(>) p
Fp 322 1137 a(0) p Fo(,) p 436 1137 a(then) p Fl 652
1137 a(b) p Fi 693 1152 a(l) p Fl 720 1137 a(R) p Fp
795 1137 a(\() p Fl(E) p Fp 933 1137 a(+) p Fl 1031 1137
a(i) p Fp(0;) p Fl 1157 1137 a(H) p Fi 1238 1152 a(a) p
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1920 1137 a(any) p Fl 2107 1137 a(L) p Fk 2201 1137 a(\035) p
Fp 2328 1137 a(1) p Fo(,) p 2442 1137 a(and) p 2631 1137
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1822 1357 a(\030) p Fp 1870 1357 a(\)) p Fk 1933 1357
a(2) p Fp 2028 1357 a(supp) p Fl 2245 1357 a(X) p Fh
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a(0) p Fo(,) p 436 1577 a(then) p Fl 652 1577 a(X) p
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a(r) p Fi 1677 1592 a(L) p Fo 1730 1577 a(.) p Fp 146
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1074 1748 a(Assume) p 1440 1748 a(that) p Fl 1641 1748
a(H) p Fi 1722 1763 a(b) p Fo 1794 1748 a(satisfy) p
Fp 2100 1748 a(\(4) p Fl(:) p Fp(4\)) p Fo(.) p 2382
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3051 1748 a(true) p 3258 1748 a(for) p 3416 1748 a(the) 0
1868 y(auxiliary) p 405 1868 a(op) p 500 1868 a(er) p
581 1868 a(ator) p Fl 788 1868 a(K) p Fi 871 1883 a(am) p
Fp 975 1868 a(\() p Fl(\022) p Fp 1061 1868 a(\)) p Fo
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Fp 1590 1868 a(\(3) p Fl(:) p Fp(6\)) p Fo(.) p Fp 146
2038 a(\(3\)) p Fo 311 2038 a(The) p 515 2038 a(same) p
768 2038 a(statements) p 1259 2038 a(as) p Fp 1388 2038
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3086 2038 a(\() p Fl(\022) p Fp 3172 2038 a(\)) p Fo
3249 2038 a(de\014ne) p 3494 2038 a(d) 0 2159 y(by) p
Fp 127 2159 a(\(3) p Fl(:) p Fp(25\)) p Fo(.) 0 2437
y(Pr) p 102 2437 a(o) p 147 2437 a(of.) p Fp 354 2437
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a(\(1\)) p 954 2437 a(only) p 1127 2437 a(.) p 1231 2437
a(The) p 1443 2437 a(same) p 1698 2437 a(argumen) m(t) p
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2791 2437 a(other) p 3057 2437 a(statemen) m(ts.) 0 2557
y(In) p 128 2557 a(particular,) p 613 2557 a(\(2\)) p
776 2557 a(follo) m(ws) p 1103 2557 a(from) p 1340 2557
a(relation) p 1703 2557 a(\(3.30\).) p 2042 2557 a(The) p
2249 2557 a(op) s(erator) p Fl 2648 2557 a(R) p Fp 2723
2557 a(\() p Fl(E) p Fp 2865 2557 a(+) p Fl 2968 2557
a(i) p Fp(0;) p Fl 3094 2557 a(H) p Fi 3175 2572 a(a) p
Fp 3216 2557 a(\)) p Fl(X) p Fm 3343 2521 a(+) p Fi 3335
2582 a(am) p Fp 3478 2557 a(is) 0 2677 y(appro) m(ximated) p
624 2677 a(b) m(y) p 765 2677 a(\(3.19\).) p 1102 2677
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a(starting) p 2905 2677 a(from) p 3141 2677 a(supp) p
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a(the) p 2946 2798 a(desired) p 3277 2798 a(result.) p
Fe 0 2918 a(2) p Fp 146 3088 a(W) p 238 3088 a(e) p 314
3088 a(shall) p 542 3088 a(pro) m(v) m(e) p 805 3088
a(\(4.13\).) p 1125 3088 a(W) p 1217 3088 a(e) p 1293
3088 a(tak) m(e) p Fl 1504 3088 a(m) p Fk 1617 3088 a(2) p
Fl 1711 3088 a(a;) p 1839 3088 a(m) p Fk 1952 3088 a(6) p
Fp(=) p Fl 2055 3088 a(j) p Fp 2101 3088 a(,) p 2161
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3323 a(j) t(m) p Fk 1387 3308 a(j) p Fp 1442 3308 a(=) p
1546 3308 a(max) p Fk 1744 3308 a(fj) p Fl(d) p Fi 1873
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Fl 2057 3308 a(k) p Fk 2139 3308 a(2) p Fl 2233 3308
a(a) p Fk(g) p Fp 0 3528 a(for) p Fl 164 3528 a(j) p
Fk 263 3528 a(2) p Fl 382 3528 a(a) p Fp 480 3528 a(\014xed,) p
762 3528 a(although) p Fl 1183 3528 a(m) p Fp 1315 3528
a(is) p 1428 3528 a(not) p 1616 3528 a(necessarily) p
2117 3528 a(determined) p 2642 3528 a(uniquely) p 2995
3528 a(.) p 3111 3528 a(W) p 3203 3528 a(e) p 3294 3528
a(de\014ne) p Fl 0 3649 a(K) p Fi 83 3664 a(am) p Fp
215 3649 a(=) p Fl 318 3649 a(K) p Fi 401 3664 a(am) p
Fp 505 3649 a(\() p Fl(\022) p Fp 591 3649 a(\)) p 662
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Fl 1252 3649 a(\022) p Fp 1328 3649 a(=) 1448 3623 y(^) p
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190 3769 a(w) m(e) p 333 3769 a(ha) m(v) m(e) p Fl 86
3989 a(s) p Fi 132 4004 a(j) p Fp 185 3989 a(\() p Fl(R) p
Fp 298 3989 a(\() p Fl(E) p Fp 436 3989 a(+) p Fl 534
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Fp 782 3989 a(\)) p Fk 842 3989 a(\000) p Fl 942 3989
a(R) p Fp 1017 3989 a(\() p Fl(E) p Fp 1155 3989 a(+) p
Fl 1253 3989 a(i) p Fp(0;) p Fl 1379 3989 a(K) p Fi 1462
4004 a(am) p Fp 1566 3989 a(\)\)) p Fl 1659 3989 a(s) p
Fi 1705 4004 a(j) p Fp 1769 3989 a(=) p Fl 1872 3989
a(s) p Fi 1918 4004 a(j) p Fl 1955 3989 a(R) p Fp 2030
3989 a(\() p Fl(E) p Fp 2168 3989 a(+) p Fl 2266 3989
a(i) p Fp(0;) p Fl 2392 3989 a(H) p Fi 2473 4004 a(a) p
Fp 2514 3989 a(\)) p Fl(V) p Fi 2609 4004 a(am) p Fl
2713 3989 a(R) p Fp 2788 3989 a(\() p Fl(E) p Fp 2926
3989 a(+) p Fl 3024 3989 a(i) p Fp(0;) p Fl 3150 3989
a(K) p Fi 3233 4004 a(am) p Fp 3337 3989 a(\)) p Fl(s) p
Fi 3421 4004 a(j) p Fp 0 4220 a(b) m(y) p 129 4220 a(Lemma) p
471 4220 a(3.1.) p 664 4220 a(It) p 764 4220 a(follo) m(ws) p
1078 4220 a(from) p 1302 4220 a(\(1.3\)) p 1529 4220
a(and) p 1713 4220 a(\(1.4\)) p 1940 4220 a(that) p Fl
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4461 a(K) p Fi 1800 4476 a(am) p Fp 1904 4461 a(\)) p
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3219 4461 a(the) p 3389 4461 a(free) 0 4582 y(particles) p
398 4582 a(starting) p 768 4582 a(from) p 1006 4582 a(supp) p
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a(Lemma) p 2919 4582 a(4.2.) p 3135 4582 a(Hence) p 3432
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2529 5142 a(form) p 2761 5142 a(\(3.24\).) p 3086 5142
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a(r) p Fi 2638 5398 a(L) p Fp 1723 5753 a(21) p 90 rotate
dyy eop
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22 21 bop Fp 0 407 a(b) m(y) p 147 407 a(use) p 327 407
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2252 407 a(Recall) p 2557 407 a(that) p 2780 407 a(the) p
2960 407 a(co) s(e\016cien) m(ts) p 3465 407 a(of) p
Fl 0 527 a(X) p Fi 81 542 a(am) p Fp 218 527 a(=) p Fl
328 527 a(g) p Fi 375 542 a(m) p Fl 441 527 a(V) p Fi
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Fp 211 1748 a(=) p Fl 315 1748 a(\013) p Fi 377 1763
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1748 a(O) p Fp 1192 1748 a(\() p Fl(d) p Fh 1281 1706
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Fi 195 1983 a(j) p Fp 260 1968 a(=) p 363 1968 a(supp) p
Fl 581 1968 a(s) p Fi 627 1983 a(j) p Fp 663 1968 a(.) p
734 1968 a(Th) m(us) p 981 1968 a(w) m(e) p 1125 1968
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911 2408 a(b) m(y) p 1046 2408 a(making) p 1391 2408
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2069 2408 a(the) p 2237 2408 a(ab) s(o) m(v) m(e) p 2513
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314 2578 a(end) p 498 2578 a(the) p 666 2578 a(section) p
992 2578 a(b) m(y) p 1128 2578 a(pro) m(ving) p 1480
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2195 2578 a(to) p 2315 2578 a(Lemma) p 2663 2578 a(4.2.) p
2858 2578 a(In) p 2980 2578 a(later) p 3207 2578 a(applica-) 0
2698 y(tion,) p 234 2698 a(the) p 407 2698 a(lemma) p
726 2698 a(is) p 829 2698 a(used) p 1056 2698 a(when) p
1316 2698 a(cen) m(ters) p 1649 2698 a(are) p 1817 2698
a(all) p 1957 2698 a(on) p 2097 2698 a(segmen) m(t) p
2479 2698 a(\(3.27\)) p 2766 2698 a(for) p 2920 2698
a(some) p 3169 2698 a(direction) p Fl 0 2819 a(\022) p
Fk 76 2819 a(2) p Fl 170 2819 a(S) p Fm 236 2782 a(1) p
Fp 275 2819 a(.) p Fq 0 3097 a(Lemma) p 397 3097 a(4.3) p
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3474 3061 a(1) p Fo 3513 3097 a(.) 0 3217 y(L) p 56 3217
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a(l) p Fk 2900 3217 a(62) p Fl 2997 3217 a(a) p Fo(,) p
3116 3217 a(b) p 3156 3217 a(e) p 3237 3217 a(also) p
3439 3217 a(on) 0 3337 y(the) p 162 3337 a(se) p 242
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670 3508 a(that) p Fl 869 3508 a(H) p Fi 950 3523 a(a) p
Fo 1026 3508 a(satisfy) p Fp 1330 3508 a(\(4) p Fl(:) p
Fp(4\)) p Fo(.) p 1605 3508 a(Then) p Fl 552 3728 a(b) p
Fi 593 3743 a(l) p Fm 615 3743 a(1) p Fl 655 3728 a(R) p
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a(;) p 1893 3728 a(Z) p Fh 1967 3687 a(\000) p Fi 1960
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Fl 2501 3728 a(H) p Fi 2582 3743 a(a) p Fp 2623 3728
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Fp 2792 3728 a(=) p 2900 3728 a(~) p Fl 2895 3728 a(r) p
Fi 2939 3743 a(L) p Fo 0 3948 a(for) p Fl 156 3948 a(Z) p
Fh 230 3912 a(\006) p Fi 223 3972 a(am) p Fp 354 3948
a(=) p Fl 458 3948 a(Z) p Fh 532 3912 a(\006) p Fi 525
3972 a(am) p Fp 629 3948 a(\() p Fl(\022) p Fp 715 3948
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644 4118 a(a) p Fk 715 4118 a(n) p 784 4118 a(f) p Fl(m) p
Fk(g) p Fo(.) p 1043 4118 a(Assume) p 1405 4118 a(that) p
Fl 1603 4118 a(H) p Fi 1684 4133 a(b) p Fo 1752 4118
a(satisfy) p Fp 2055 4118 a(\(4) p Fl(:) p Fp(4\)) p
Fo(.) p 2330 4118 a(Then) p Fp 2582 4118 a(\(1\)) p Fo
2740 4118 a(is) p 2844 4118 a(true) p 3048 4118 a(for) p
Fl 3202 4118 a(K) p Fi 3285 4133 a(am) p Fp 3389 4118
a(\() p Fl(\022) p Fp 3475 4118 a(\)) p Fo(.) 146 4396
y(Pr) p 248 4396 a(o) p 293 4396 a(of.) p Fp 501 4396
a(The) p 702 4396 a(lemma) p 1016 4396 a(can) p 1196
4396 a(b) s(e) p 1329 4396 a(sho) m(wn) p 1626 4396 a(in) p
1740 4396 a(almost) p 2055 4396 a(the) p 2224 4396 a(same) p
2469 4396 a(w) m(a) m(y) p 2667 4396 a(as) p 2788 4396
a(Lemma) p 3136 4396 a(4.2.) p 3333 4396 a(As) p 3478
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a(section) p 651 4516 a(3,) p Fk 1022 4637 a(j) p Fl(x) p
Fk 1127 4637 a(\000) p Fl 1227 4637 a(y) p Fk 1300 4637
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a(j) p 1586 4637 a(\025) p Fl 1691 4637 a(c) p Fp 1750
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1381 4811 a(\030) p Fp 1429 4811 a(\)) p Fk 1493 4811
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376 5102 a(W) p 468 5102 a(e) p 548 5102 a(should) p
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3211 5102 a(of) p 3326 5102 a(these) 0 5222 y(lemmas.) p
Fq 146 5461 a(5.) p 271 5461 a(Resolv) m(en) m(t) p 784
5461 a(estimates) p Fp 1723 5753 a(22) p 90 rotate dyy
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23 22 bop Fp 146 407 a(The) p 353 407 a(presen) m(t) p
699 407 a(section) p 1032 407 a(is) p 1136 407 a(dev) m(oted) p
1506 407 a(to) p 1632 407 a(pro) m(ving) p 1991 407 a(Theorem) p
2409 407 a(4.1.) p 2624 407 a(W) p 2716 407 a(e) p 2799
407 a(denote) p 3120 407 a(b) m(y) p Fk 3262 407 a(j) p
Fl(a) p Fk(j) p Fp 3408 407 a(the) 0 527 y(n) m(um) m(b) s(er) p
357 527 a(of) p 470 527 a(elemen) m(ts) p 871 527 a(in) p
Fl 986 527 a(a) p Fp(.) p 1114 527 a(W) p 1206 527 a(e) p
1283 527 a(pro) m(v) m(e) p 1548 527 a(the) p 1718 527
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Fp 2994 527 a(0) p Fk 3074 527 a(\024) p 3182 527 a(j) p
Fl(a) p Fk(j) p 3319 527 a(\024) p Fl 3428 527 a(N) p
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474 648 a(is) p 582 648 a(rather) p 884 648 a(length) m(y) p
1240 648 a(and) p 1440 648 a(it) p 1547 648 a(is) p 1654
648 a(divided) p 2008 648 a(in) m(to) p 2215 648 a(sev) m(eral) p
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554 4428 a(\(4.5\)) p 787 4428 a(with) p Fl 1009 4428
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333 4957 a(ha) m(v) m(e) p Fl 233 5170 a(A) p Fi 306
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5753 y(23) p 90 rotate dyy eop
%%Page: 24 24
24 23 bop Fp 0 407 a(ob) s(eys) p 265 407 a(the) p 427
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1161 407 a(hence) p 1425 407 a(it) p 1517 407 a(satis\014es) p
1870 407 a(\(4.5\).) p 2139 407 a(W) p 2231 407 a(e) p
2301 407 a(estimate) p 2685 407 a(the) p 2847 407 a(second) p
3156 407 a(op) s(erator.) 0 527 y(First) p 242 527 a(w) m(e) p
389 527 a(deal) p 599 527 a(with) p 826 527 a(the) p
998 527 a(case) p 1208 527 a(that) p Fl 1424 527 a(j) p
Fp 1504 527 a(=) p Fl 1615 527 a(m) p Fp 1737 527 a(and) p
Fl 1931 527 a(k) p Fk 2019 527 a(6) p Fp(=) p Fl 2130
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Fp 3035 527 a(.) p 3117 527 a(Then) p 3376 527 a(it) p
3478 527 a(is) 0 648 y(ob) m(vious) p 346 648 a(that) p
Fl 551 648 a(m) p Fp 663 648 a(and) p Fl 846 648 a(\022) p
Fp 922 648 a(=) p Fj 1044 614 a(b) p Fl 1026 648 a(d) p
Fi 1077 663 a(k) r(m) p Fp 1208 648 a(satisfy) p 1506
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648 a(decomp) s(ose) p Fl 2470 648 a(V) p Fi 2527 663
a(am) p Fp 2658 648 a(=) p Fl 2762 648 a(V) p Fi 2819
663 a(am) p Fp 2923 648 a(\() p Fl(\022) p Fp 3009 648
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768 y(and) p 196 768 a(use) p 371 768 a(Lemma) p 726
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Fp 2379 768 a(satis\014es) p 2745 768 a(\(4.4\).) p 3035
768 a(The) p 3242 768 a(sym) m(b) s(ol) p Fl 0 888 a(Y) p
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2713 1113 a(;) p Fk 2803 1113 a(\006) p Fp 2890 1086
a(^) p Fl 2880 1113 a(\030) p Fk 2950 1113 a(\001) p
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1950 1323 a(particles) p 2351 1323 a(starting) p 2725
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1444 a(for) p Fl 2072 1444 a(l) p Fp 2131 1444 a(=) p
Fl 2234 1444 a(j) p Fp 2297 1444 a(\(=) p Fl 2438 1444
a(m) p Fp(\)) p 2592 1444 a(and) p Fl 2779 1444 a(l) p
Fp 2838 1444 a(=) p Fl 2941 1444 a(k) p Fp 3025 1444
a(resp) s(ectiv) m(ely) p 3513 1444 a(.) 0 1564 y(Hence) p
290 1564 a(w) m(e) p 434 1564 a(can) p 612 1564 a(sho) m(w) p
Fl 817 1774 a(b) p Fi 858 1789 a(m) p Fm(1) p Fl 960
1774 a(R) p Fp 1035 1774 a(\() p Fl(E) p Fp 1173 1774
a(+) p Fl 1271 1774 a(i) p Fp(0;) p Fl 1397 1774 a(H) p
Fi 1478 1789 a(a) p Fp 1519 1774 a(\)) p Fl(Y) p Fh 1636
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Fp 1701 3388 a(\() p Fl(E) p Fp 1840 3388 a(+) p Fl 1938
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Fm 2368 3403 a(1) p Fk 2408 3388 a(k) p 2485 3388 a(') p
Fl 2590 3388 a(O) p Fp 2668 3388 a(\() p Fl(d) p Fi 2757
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616 3598 a(pro) m(v) m(ed) p Fk 882 3809 a(k) p Fl(A) p
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3809 a(H) p Fi 2002 3824 a(a) p Fp 2044 3809 a(\)) p
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3809 a(k) p 2278 3809 a(') p Fl 2384 3809 a(O) p Fp 2462
3809 a(\() p Fl(d) p Fi 2551 3767 a(\033) p Fp 2596 3809
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4019 a(j) p Fk 1466 4019 a(6) p Fp(=) p Fl 1579 4019
a(m) p Fp 1703 4019 a(and) p Fl 1898 4019 a(k) p Fk 1990
4019 a(6) p Fp(=) p Fl 2103 4019 a(m) p Fp(.) p 2276
4019 a(The) p 2482 4019 a(argumen) m(t) p 2924 4019 a(is) p
3028 4019 a(divided) p 3378 4019 a(in) m(to) 0 4139 y(t) m(w) m(o) p
184 4139 a(cases) p 429 4139 a(\(a\)) p 585 4139 a(and) p
775 4139 a(\(b\)) p 937 4139 a(according) p 1376 4139
a(to) p 1495 4139 a(the) p 1662 4139 a(lo) s(cation) p
2033 4139 a(of) p 2144 4139 a(three) p 2393 4139 a(cen) m(ters) p
Fl 2721 4139 a(d) p Fi 2772 4154 a(j) p Fl 2808 4139
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a(and) p Fl 3199 4139 a(d) p Fi 3250 4154 a(m) p Fp 3348
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4260 a(cen) m(ters) p 585 4260 a(are) p 751 4260 a(on) p
890 4260 a(an) p 1029 4260 a(ev) m(en) p 1255 4260 a(segmen) m(t) p
1636 4260 a(with) p Fl 1862 4260 a(d) p Fi 1913 4275
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a(in) m(terior) p 2625 4260 a(p) s(oin) m(t) p 2883 4260
a(;) p 2948 4260 a(\(b\)) p 3115 4260 a(otherwise.) 0
4380 y(Assume) p 367 4380 a(case) p 579 4380 a(\(b\).) p
797 4380 a(W) p 889 4380 a(e) p 970 4380 a(tak) m(e) p
1187 4380 a(the) p 1361 4380 a(direction) p 1773 4380
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y(^) p Fl 2522 4380 a(d) p Fi 2573 4395 a(j) t(k) p Fp
2686 4380 a(as) p Fl 2811 4380 a(\022) p Fp 2897 4380
a(if) p 2992 4380 a(three) p 3247 4380 a(cen) m(ters) 0
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1262 4512 a(and) p Fl 1456 4512 a(\022) p Fp 1540 4512
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Fk(j) p Fm 2531 5463 a(2) p Fi(\033) p Fp 2612 5504 a(\)) p
Fl(:) p Fp 3343 5504 a(\(5.5\)) 1723 5753 y(24) p 90 rotate
dyy eop
%%Page: 25 25
25 24 bop Fp 0 407 a(W) p 92 407 a(e) p 169 407 a(note) p
386 407 a(that) p 598 407 a(this) p 789 407 a(is) p 887
407 a(true) p 1094 407 a(ev) m(en) p 1317 407 a(for) p
Fl 1466 407 a(j) p Fp 1541 407 a(=) p Fl 1645 407 a(k) p
Fp 1699 407 a(.) p 1772 407 a(If) p 1870 407 a(three) p
2119 407 a(cen) m(ters) p 2448 407 a(are) p 2612 407
a(on) p 2748 407 a(the) p 2916 407 a(segmen) m(t) p 3294
407 a(\(3.27\)) 0 527 y(with) p Fl 219 527 a(d) p Fi
270 542 a(m) p Fp 366 527 a(as) p 483 527 a(an) p 615
527 a(in) m(terior) p 957 527 a(p) s(oin) m(t) p 1208
527 a(for) p 1354 527 a(some) p 1596 527 a(direction) p
Fl 1999 527 a(\022) p Fp 2047 527 a(,) p 2105 527 a(then) p
2324 527 a(w) m(e) p 2465 527 a(can) p 2641 527 a(sho) m(w) p
2879 527 a(a) p 2958 527 a(similar) p 3275 527 a(b) s(ound) 0
648 y(b) m(y) p 130 648 a(decomp) s(osing) p Fl 702 648
a(V) p Fi 759 663 a(am) p Fp 863 648 a(\() p Fl(\022) p
Fp 949 648 a(\)) p 1014 648 a(as) p 1129 648 a(in) p
1237 648 a(\(3.28\)) p 1513 648 a(and) p 1698 648 a(b) m(y) p
1828 648 a(making) p 2166 648 a(use) p 2329 648 a(of) p
2435 648 a(Lemma) p 2778 648 a(4.3.) p 2971 648 a(Th) m(us) p
3213 648 a(w) m(e) p 3351 648 a(ha) m(v) m(e) 0 768 y(pro) m(v) m(ed) p
317 768 a(\(4.5\)) p 550 768 a(with) p Fl 772 768 a(c) p
842 768 a(>) p Fp 945 768 a(2.) 146 936 y(W) p 238 936
a(e) p 318 936 a(sho) m(w) p 563 936 a(that) p 777 936
a(\(4.5\)) p 1013 936 a(implies) p 1348 936 a(\(4.6\).) p
1629 936 a(W) p 1721 936 a(e) p 1800 936 a(set) p Fl
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Fl 2247 936 a(b) p Fi 2288 951 a(j) p Fm 2321 951 a(1) p
Fl 2360 936 a(R) p Fp 2435 936 a(\() p Fl(E) p Fp 2575
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1278 1065 a(tak) m(e) p Fl 1490 1065 a(\022) p Fp 1565
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Fi 257 1293 a(mk) p Fp 390 1278 a(=) p Fl 493 1278 a(b) p
Fi 534 1293 a(m) p Fm(1) p Fl 637 1278 a( ) p Fi 700
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Fl 1816 1278 a(R) p Fp 1891 1278 a(\() p Fl(E) p Fp 2029
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Fi 2471 1293 a(am) p Fl 2574 1278 a(R) p Fp 2649 1278
a(\() p Fl(E) p Fp 2788 1278 a(+) p Fl 2886 1278 a(i) p
Fp(0;) p Fl 3012 1278 a(K) p Fi 3095 1293 a(am) p Fp
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1293 a(1) p Fp 0 1490 a(with) p Fl 225 1490 a(V) p Fi
282 1505 a(am) p Fp 418 1490 a(=) p Fl 527 1490 a(V) p
Fi 584 1505 a(am) p Fp 688 1490 a(\() p Fl(\022) p Fp
774 1490 a(\).) p 891 1490 a(W) p 983 1490 a(e) p 1061
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a(am) p Fp 1752 1490 a(as) p 1874 1490 a(in) p 1991 1490
a(\(3.25\)) p 2275 1490 a(and) p 2468 1490 a(use) p 2639
1490 a(Lemma) p 2990 1490 a(4.2) p 3150 1490 a(and) p
3343 1490 a(\(5.3\)) 0 1610 y(to) p 125 1610 a(obtain) p
433 1610 a(that) p Fk 650 1610 a(k) p Fl(B) p Fi 774
1625 a(mk) p Fk 879 1610 a(k) p 965 1610 a(') p Fl 1080
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a(\000) p Fm(1) p Fi(=) p Fm(4+) p Fi(\033) p Fp 1508
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190 1730 a(w) m(e) p 333 1730 a(apply) p 602 1730 a(a) p
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1730 a(to) p Fl 176 1943 a(B) p Fh 255 1901 a(\003) p
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a(s) p Fi 527 1958 a(m) p Fm(1) p Fl 628 1943 a( ) p
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Fl(E) p Fk 972 1943 a(\000) p Fl 1071 1943 a(i) p Fp(0;) p
Fl 1197 1943 a(K) p Fi 1280 1958 a(am) p Fp 1384 1943
a(\)) p Fl(b) p Fi 1463 1958 a(j) p Fm 1496 1958 a(1) p
Fp 1557 1943 a(+) p Fl 1655 1943 a(s) p Fi 1701 1958
a(m) p Fm(1) p Fl 1803 1943 a(R) p Fp 1878 1943 a(\() p
Fl(E) p Fk 2016 1943 a(\000) p Fl 2116 1943 a(i) p Fp(0;) p
Fl 2242 1943 a(H) p Fi 2323 1958 a(a) p Fp 2364 1943
a(\)) p Fl(V) p Fi 2459 1958 a(am) p Fl 2563 1943 a(R) p
Fp 2638 1943 a(\() p Fl(E) p Fk 2776 1943 a(\000) p Fl
2876 1943 a(i) p Fp(0;) p Fl 3002 1943 a(K) p Fi 3085
1958 a(am) p Fp 3189 1943 a(\)) p Fl(b) p Fi 3268 1958
a(j) p Fm 3301 1958 a(1) p Fl 3340 1943 a(:) p Fp 0 2166
a(W) p 92 2166 a(e) p 172 2166 a(ha) m(v) m(e) p Fk 402
2166 a(k) p Fl(B) p Fi 526 2181 a(j) t(m) p Fk 625 2166
a(k) p 710 2166 a(') p Fl 822 2166 a(O) p Fp 900 2166
a(\() p Fl(d) p Fh 989 2130 a(\000) p Fm(1) p Fi(=) p
Fm(4+) p Fi(\033) p Fp 1251 2166 a(\)) p 1326 2166 a(b) m(y) p
1466 2166 a(decomp) s(osing) p Fl 2048 2166 a(V) p Fi
2105 2181 a(am) p Fp 2246 2166 a(as) p 2370 2166 a(in) p
2488 2166 a(\(3.14\).) p 2821 2166 a(The) p 3026 2166
a(same) p 3275 2166 a(b) s(ound) 0 2286 y(is) p 98 2286
a(also) p 294 2286 a(obtained) p 696 2286 a(in) p 810
2286 a(the) p 978 2286 a(case) p 1185 2286 a(that) p
Fl 1396 2286 a(j) p Fk 1470 2286 a(6) p Fp(=) p Fl 1574
2286 a(m) p Fp 1692 2286 a(and) p Fl 1882 2286 a(k) p
Fk 1965 2286 a(6) p Fp(=) p Fl 2069 2286 a(m) p Fp(.) p
2225 2286 a(W) p 2317 2286 a(e) p 2393 2286 a(divide) p
2684 2286 a(the) p 2852 2286 a(argumen) m(t) p 3288 2286
a(to) p 3408 2286 a(the) 0 2407 y(t) m(w) m(o) p 192
2407 a(cases) p 444 2407 a(\(a\)) p 608 2407 a(and) p
805 2407 a(\(b\)) p 975 2407 a(ab) s(o) m(v) m(e) p 1259
2407 a(and) p 1456 2407 a(w) m(e) p 1606 2407 a(tak) m(e) p
Fl 1825 2407 a(\022) p Fp 1913 2407 a(as) p 2040 2407
a(b) s(efore.) p 2392 2407 a(In) p 2521 2407 a(case) p
2735 2407 a(\(b\),) p 2934 2407 a(w) m(e) p 3085 2407
a(decomp) s(ose) p Fl 0 2527 a(V) p Fi 57 2542 a(am) p
Fp 161 2527 a(\() p Fl(\022) p Fp 247 2527 a(\)) p 319
2527 a(as) p 440 2527 a(in) p 555 2527 a(\(3.14\)) p
838 2527 a(and) p 1029 2527 a(use) p 1199 2527 a(Lemma) p
1549 2527 a(4.2,) p 1735 2527 a(while) p 1991 2527 a(in) p
2106 2527 a(case) p 2314 2527 a(\(a\),) p 2500 2527 a(w) m(e) p
2645 2527 a(decomp) s(ose) p Fl 3137 2527 a(V) p Fi 3194
2542 a(am) p Fp 3298 2527 a(\() p Fl(\022) p Fp 3384
2527 a(\)) p 3456 2527 a(as) 0 2648 y(in) p 114 2648
a(\(3.28\)) p 396 2648 a(and) p 585 2648 a(use) p 754
2648 a(Lemma) p 1102 2648 a(4.3.) p 1297 2648 a(In) p
1419 2648 a(either) p 1695 2648 a(case,) p 1929 2648
a(w) m(e) p 2073 2648 a(ha) m(v) m(e) p 2298 2648 a(b) m(y) p
2433 2648 a(\(5.4\)) p 2666 2648 a(that) p Fk 1333 2860
a(k) p Fl(B) p Fi 1457 2875 a(j) t(k) p Fk 1532 2860
a(k) p Fp 1610 2860 a(=) p Fl 1713 2860 a(O) p Fp 1791
2860 a(\() p Fl(d) p Fh 1880 2819 a(\000) p Fm(1) p Fi(=) p
Fm(4+) p Fi(c\033) p Fp 2172 2860 a(\)) p 3343 2860 a(\(5.6\)) 0
3072 y(with) p Fl 237 3072 a(c) p 332 3072 a(>) p Fp
461 3072 a(2.) p 625 3072 a(Th) m(us) p 887 3072 a(\(4.6\)) p
1135 3072 a(is) p 1248 3072 a(obtained.) p 1732 3072
a(Similarly) p 2161 3072 a(w) m(e) p 2320 3072 a(can) p
2514 3072 a(sho) m(w) p 2770 3072 a(that) p 2997 3072
a(\(4.6\)) p 3245 3072 a(implies) 0 3192 y(\(4.7\).) p
283 3192 a(Set) p Fl 455 3192 a(C) p Fi 525 3207 a(j) t(k) p
Fp 635 3192 a(=) p Fl 746 3192 a(s) p Fi 792 3207 a(j) p
Fm 825 3207 a(1) p Fl 863 3192 a(R) p Fp 938 3192 a(\() p
Fl(E) p Fp 1079 3192 a(+) p Fl 1180 3192 a(i) p Fp(0;) p
Fl 1306 3192 a(H) p Fi 1387 3207 a(a) p Fp 1428 3192
a(\)) p Fl(s) p Fi 1512 3207 a(k) p Fm 1551 3207 a(1) p
Fp 1627 3192 a(for) p Fl 1780 3192 a(j) p Fk 1861 3192
a(6) p Fp(=) p Fl 1971 3192 a(k) p Fp 2025 3192 a(.) p
2108 3192 a(If) p 2210 3192 a(either) p Fl 2490 3192
a(j) p Fp 2573 3192 a(or) p Fl 2696 3192 a(k) p Fp 2787
3192 a(is) p Fl 2889 3192 a(m) p Fp(,) p 3039 3192 a(then) p
3266 3192 a(w) m(e) p 3413 3192 a(get) p Fk 0 3313 a(k) p
Fl(C) p Fi 120 3328 a(j) t(k) p Fk 195 3313 a(k) p 272
3313 a(') p Fl 377 3313 a(O) p Fp 455 3313 a(\() p Fl(d) p
Fh 544 3276 a(\000) p Fm(1) p Fi(=) p Fm(2+) p Fi(\033) p
Fp 806 3313 a(\)) p 874 3313 a(b) m(y) p 1008 3313 a(decomp) s(osing) p
Fl 1584 3313 a(V) p Fi 1641 3328 a(am) p Fp 1776 3313
a(as) p 1894 3313 a(in) p 2007 3313 a(\(3.14\)) p 2287
3313 a(and) p 2475 3313 a(b) m(y) p 2609 3313 a(making) p
2951 3313 a(use) p 3118 3313 a(of) p 3228 3313 a(Lemma) 0
3433 y(4.2) p 160 3433 a(and) p 353 3433 a(\(5.3\).) p
634 3433 a(If) p Fl 735 3433 a(j) p Fk 814 3433 a(6) p
Fp(=) p Fl 923 3433 a(m) p Fp 1044 3433 a(and) p Fl 1237
3433 a(k) p Fk 1325 3433 a(6) p Fp(=) p Fl 1434 3433
a(m) p Fp(,) p 1583 3433 a(then) p 1808 3433 a(w) m(e) p
1955 3433 a(decomp) s(ose) p Fl 2450 3433 a(V) p Fi 2507
3448 a(am) p Fp 2646 3433 a(as) p 2769 3433 a(in) p 2886
3433 a(\(3.28\)) p 3172 3433 a(or) p 3294 3433 a(\(3.14\)) 0
3553 y(according) p 445 3553 a(to) p 570 3553 a(case) p
783 3553 a(\(a\)) p 946 3553 a(or) p 1072 3553 a(\(b\).) p
1290 3553 a(It) p 1402 3553 a(follo) m(ws) p 1729 3553
a(from) p 1965 3553 a(\(5.6\)) p 2204 3553 a(that) p
Fk 2422 3553 a(k) p Fl(C) p Fi 2542 3568 a(j) t(k) p
Fk 2616 3553 a(k) p Fp 2704 3553 a(=) p Fl 2818 3553
a(O) p Fp 2896 3553 a(\() p Fl(d) p Fh 2985 3517 a(\000) p
Fm(1) p Fi(=) p Fm(2+) p Fi(c\033) p Fp 3277 3553 a(\)) p
3354 3553 a(with) p Fl 0 3674 a(c) p 70 3674 a(>) p Fp
173 3674 a(4.) p 292 3674 a(Th) m(us) p 540 3674 a(w) m(e) p
683 3674 a(ha) m(v) m(e) p 908 3674 a(pro) m(v) m(ed) p
1225 3674 a(\(4) p Fl(:) p Fp(3\)) p Fk 1453 3674 a(\030) p
Fp 1558 3674 a(\(4) p Fl(:) p Fp(7\)) p 1792 3674 a(in) p
1905 3674 a(the) p 2073 3674 a(case) p Fk 2280 3674 a(j) p
Fl(a) p Fk(j) p Fp 2414 3674 a(=) p 2518 3674 a(1.) 146
3842 y(\(3\)) p 308 3842 a(W) p 400 3842 a(e) p 480 3842
a(pro) s(ceed) p 845 3842 a(to) p 968 3842 a(the) p 1141
3842 a(case) p Fk 1351 3842 a(j) p Fl(a) p Fk(j) p Fp
1493 3842 a(=) p Fl 1604 3842 a(n) p Fk 1697 3842 a(\025) p
Fp 1809 3842 a(2,) p 1923 3842 a(assuming) p 2351 3842
a(the) p 2524 3842 a(case) p 2734 3842 a(0) p Fk 2818
3842 a(\024) p 2931 3842 a(j) p Fl(a) p Fk(j) p 3072
3842 a(\024) p Fl 3185 3842 a(n) p Fk 3268 3842 a(\000) p
Fp 3370 3842 a(1) p 3456 3842 a(as) 0 3962 y(inductiv) m(e) p
419 3962 a(assumption.) p 972 3962 a(W) p 1064 3962 a(e) p
1136 3962 a(assume) p 1469 3962 a(that) p 1677 3962 a(\(4) p
Fl(:) p Fp(3\)) p Fk 1905 3962 a(\030) p Fp 2010 3962
a(\(4) p Fl(:) p Fp(7\)) p 2239 3962 a(are) p 2398 3962
a(true) p 2600 3962 a(for) p 2746 3962 a(some) p Fl 2986
3962 a(c) p Fp 3056 3962 a(=) p Fl 3160 3962 a(c) p Fi
3202 3977 a(n) p Fh(\000) p Fm(1) p Fp 3339 3962 a(.) p
3408 3962 a(W) p 3500 3962 a(e) 0 4082 y(b) s(egin) p
263 4082 a(b) m(y) p 398 4082 a(pro) m(ving) p 751 4082
a(\(4.3\)) p 984 4082 a(and) p 1173 4082 a(\(4.4\).) p
1444 4082 a(This) p 1667 4082 a(step) p 1873 4082 a(o) s(ccupies) p
2262 4082 a(the) p 2430 4082 a(core) p 2635 4082 a(of) p
2747 4082 a(the) p 2915 4082 a(pro) s(of.) p 3207 4082
a(W) p 3299 4082 a(e) p 3375 4082 a(set) p Fl 626 4294
a(Q) p Fi 703 4309 a(\027) p Fp 775 4294 a(=) p Fl 878
4294 a(r) p Fi 922 4309 a(\027) p Fl 965 4294 a(R) p
Fp 1040 4294 a(\() p Fl(E) p Fp 1178 4294 a(+) p Fl 1276
4294 a(i) p Fp(0;) p Fl 1402 4294 a(H) p Fi 1483 4309
a(a) p Fp 1525 4294 a(\)) p Fl(r) p Fi 1607 4309 a(\027) p
Fl 1650 4294 a(;) p 1889 4294 a(P) p Fi 1952 4309 a(j) p
Fp 2016 4294 a(=) p Fl 2119 4294 a(r) p Fi 2163 4309
a(\027) p Fl 2206 4294 a(R) p Fp 2281 4294 a(\() p Fl(E) p
Fp 2419 4294 a(+) p Fl 2517 4294 a(i) p Fp(0;) p Fl 2643
4294 a(H) p Fi 2724 4309 a(a) p Fp 2766 4294 a(\)) p
Fl(b) p Fi 2845 4309 a(j) p Fm 2878 4309 a(1) p Fp 0
4507 a(for) p Fl 156 4507 a(\027) p Fk 251 4507 a(\035) p
Fp 390 4507 a(1,) p 508 4507 a(where) p Fl 797 4507 a(r) p
Fh 841 4522 a(\006) p Fi(\027) p Fp 979 4507 a(is) p
1084 4507 a(the) p 1259 4507 a(m) m(ultiplication) p
1892 4507 a(op) s(erator) p 2292 4507 a(de\014ned) p
2636 4507 a(b) m(y) p 2778 4507 a(\(4.2\).) p 3071 4507
a(Let) p Fl 3253 4507 a(j;) p Fp 3377 4507 a(1) p Fk
3466 4507 a(\024) p Fl 0 4627 a(j) p Fk 88 4627 a(\024) p
Fl 207 4627 a(N) p Fp 295 4627 a(,) p 365 4627 a(b) s(e) p
506 4627 a(\014xed) p 750 4627 a(arbitrarily) p 1227
4627 a(through) p 1604 4627 a(the) p 1781 4627 a(step.) p
2050 4627 a(W) p 2142 4627 a(e) p 2226 4627 a(tak) m(e) p
Fl 2446 4627 a(m) p Fk 2573 4627 a(2) p Fl 2681 4627
a(a) p Fp 2773 4627 a(suc) m(h) p 3001 4627 a(that) p
Fk 3221 4627 a(j) p Fl(d) p Fi 3300 4642 a(j) t(m) p
Fk 3398 4627 a(j) p Fp 3467 4627 a(=) 0 4747 y(max) p
Fk 198 4747 a(fj) p Fl(d) p Fi 327 4762 a(j) t(k) p Fk
401 4747 a(j) p Fp 457 4747 a(:) p Fl 511 4747 a(k) p
Fk 593 4747 a(2) p Fl 687 4747 a(a) p Fk(g) p Fp 821
4747 a(and) p 1011 4747 a(w) m(e) p 1154 4747 a(write) p
Fl 1403 4747 a(Q) p Fi 1480 4762 a(\027) p Fp 1556 4747
a(as) p 1676 4747 a(the) p 1844 4747 a(sum) p 2051 4747
a(of) p 2162 4747 a(t) m(w) m(o) p 2346 4747 a(op) s(erators) p
Fl 376 4959 a(Q) p Fm 453 4974 a(1) p Fi(\027) p Fp 559
4959 a(=) p Fl 663 4959 a(r) p Fi 707 4974 a(\027) p
Fl 750 4959 a(R) p Fp 825 4959 a(\() p Fl(E) p Fp 963
4959 a(+) p Fl 1061 4959 a(i) p Fp(0;) p Fl 1187 4959
a(H) p Fi 1268 4974 a(a) p Fp 1309 4959 a(\)) p Fl( ) p
Fi 1410 4974 a(m) p Fl 1477 4959 a(r) p Fi 1521 4974
a(\027) p Fl 1564 4959 a(;) p 1706 4959 a(Q) p Fm 1783
4974 a(2) p Fi(\027) p Fp 1889 4959 a(=) p Fl 1992 4959
a(r) p Fi 2036 4974 a(\027) p Fl 2080 4959 a(R) p Fp
2155 4959 a(\() p Fl(E) p Fp 2293 4959 a(+) p Fl 2391
4959 a(i) p Fp(0;) p Fl 2517 4959 a(H) p Fi 2598 4974
a(a) p Fp 2639 4959 a(\)\(1) p Fk 2786 4959 a(\000) p
Fl 2885 4959 a( ) p Fi 2948 4974 a(m) p Fp 3015 4959
a(\)) p Fl(r) p Fi 3097 4974 a(\027) p Fl 3141 4959 a(;) p
Fp 0 5172 a(where) p Fl 275 5172 a( ) p Fi 338 5187 a(m) p
Fp 431 5172 a(is) p 523 5172 a(de\014ned) p 853 5172
a(b) m(y) p 982 5172 a(\(3.8\).) p 1251 5172 a(De\014ne) p
1546 5172 a(the) p 1708 5172 a(auxiliary) p 2108 5172
a(op) s(erator) p Fl 2494 5172 a(K) p Fi 2577 5187 a(am) p
Fp 2709 5172 a(=) p Fl 2813 5172 a(K) p Fi 2896 5187
a(am) p Fp 3000 5172 a(\() p Fl(\022) p Fi 3083 5187
a(m) p Fp 3150 5172 a(\)) p 3214 5172 a(b) m(y) p 3343
5172 a(\(3.6\)) 0 5292 y(with) p Fl 222 5292 a(\022) p
Fi 267 5307 a(m) p Fp 362 5292 a(=) 483 5266 y(^) p Fl
465 5292 a(d) p Fi 516 5307 a(j) t(m) p Fp 615 5292 a(.) p
686 5292 a(Then) p 940 5292 a(Lemma) p 1288 5292 a(3.1) p
1446 5292 a(yields) p Fl 274 5504 a(Q) p Fm 351 5519
a(1) p Fi(\027) p Fp 458 5504 a(=) p Fl 561 5504 a(r) p
Fi 605 5519 a(\027) p Fl 648 5504 a( ) p Fi 711 5519
a(m) p Fl 778 5504 a(R) p Fp 853 5504 a(\() p Fl(E) p
Fp 991 5504 a(+) p Fl 1089 5504 a(i) p Fp(0;) p Fl 1215
5504 a(K) p Fi 1298 5519 a(am) p Fp 1402 5504 a(\)) p
Fl(r) p Fi 1484 5519 a(\027) p Fp 1549 5504 a(+) p Fl
1648 5504 a(r) p Fi 1692 5519 a(\027) p Fl 1735 5504
a(R) p Fp 1810 5504 a(\() p Fl(E) p Fp 1948 5504 a(+) p
Fl 2046 5504 a(i) p Fp(0;) p Fl 2172 5504 a(H) p Fi 2253
5519 a(a) p Fp 2294 5504 a(\)) p Fl(V) p Fi 2389 5519
a(am) p Fl 2493 5504 a(R) p Fp 2568 5504 a(\() p Fl(E) p
Fp 2706 5504 a(+) p Fl 2804 5504 a(i) p Fp(0;) p Fl 2930
5504 a(K) p Fi 3013 5519 a(am) p Fp 3117 5504 a(\)) p
Fl(r) p Fi 3199 5519 a(\027) p Fl 3242 5504 a(:) p Fp
1723 5753 a(25) p 90 rotate dyy eop
%%Page: 26 26
26 25 bop Fp 0 407 a(By) p 171 407 a(inductiv) m(e) p
612 407 a(assumption,) p 1177 407 a(the) p 1363 407 a(\014rst) p
1582 407 a(op) s(erator) p 1993 407 a(on) p 2146 407
a(the) p 2332 407 a(righ) m(t) p 2586 407 a(side) p 2800
407 a(ob) s(eys) p 3089 407 a(the) p 3275 407 a(b) s(ound) p
Fl 0 527 a(O) p Fp 78 527 a(\() p Fl(d) p Fh 167 491
a(\000) p Fi(\027) p Fp 264 527 a(\).) p 415 527 a(T) p
477 527 a(o) p 573 527 a(estimate) p 978 527 a(the) p
1161 527 a(second) p 1490 527 a(op) s(erator,) p 1928
527 a(w) m(e) p 2086 527 a(decomp) s(ose) p Fl 2591 527
a(V) p Fi 2648 542 a(am) p Fp 2804 527 a(=) p Fl 2932
527 a(V) p Fi 2989 542 a(am) p Fp 3093 527 a(\() p Fl(\022) p
Fi 3176 542 a(m) p Fp 3243 527 a(\)) p 3328 527 a(as) p
3462 527 a(in) 0 648 y(\(3.14\).) p 320 648 a(W) p 412
648 a(e) p 488 648 a(ha) m(v) m(e) p Fk 546 863 a(k) p
Fl(r) p Fi 640 878 a(\027) p Fl 683 863 a(R) p Fp 758
863 a(\() p Fl(E) p Fp 896 863 a(+) p Fl 994 863 a(i) p
Fp(0;) p Fl 1120 863 a(H) p Fi 1201 878 a(a) p Fp 1243
863 a(\)) p Fl(X) p Fi 1362 878 a(am) p Fl 1465 863 a(R) p
Fp 1540 863 a(\() p Fl(E) p Fp 1679 863 a(+) p Fl 1777
863 a(i) p Fp(0;) p Fl 1903 863 a(K) p Fi 1986 878 a(am) p
Fp 2089 863 a(\)) p Fl(r) p Fi 2171 878 a(\027) p Fk
2215 863 a(k) p Fp 2292 863 a(=) p Fl 2396 863 a(O) p
Fp 2474 863 a(\() p Fl(d) p Fh 2563 822 a(\000) p Fi(\027) t(=) p
Fm(2) p Fp 2730 863 a(\)) p Fk(k) p Fl(P) p Fi 2881 878
a(m) p Fk 2947 863 a(k) p Fp 0 1079 a(again) p 264 1079
a(b) m(y) p 404 1079 a(inductiv) m(e) p 831 1079 a(assumption.) p
1398 1079 a(Recall) p 1697 1079 a(that) p Fl 1912 1079
a(R) p Fp 1987 1079 a(\() p Fl(E) p Fp 2128 1079 a(+) p
Fl 2229 1079 a(i) p Fp(0;) p Fl 2355 1079 a(H) p Fi 2436
1094 a(a) p Fp 2478 1079 a(\)) p Fl(X) p Fh 2605 1043
a(1) p Fi 2597 1104 a(am) p Fp 2737 1079 a(is) p 2840
1079 a(appro) m(ximated) p 3462 1079 a(in) 0 1199 y(the) p
168 1199 a(form) p 398 1199 a(\(3.24\).) p 718 1199 a(Hence) p
1008 1199 a(a) p 1089 1199 a(calculus) p 1458 1199 a(of) p
1569 1199 a(pseudo) s(di\013eren) m(tial) p 2353 1199
a(op) s(erators) p 2784 1199 a(yields) p Fk 370 1415
a(k) p Fl(r) p Fi 464 1430 a(\027) p Fl 507 1415 a(R) p
Fp 582 1415 a(\() p Fl(E) p Fp 721 1415 a(+) p Fl 819
1415 a(i) p Fp(0;) p Fl 945 1415 a(H) p Fi 1026 1430
a(a) p Fp 1067 1415 a(\)) p Fl(X) p Fh 1194 1374 a(1) p
Fi 1186 1440 a(am) p Fl 1290 1415 a(R) p Fp 1365 1415
a(\() p Fl(E) p Fp 1503 1415 a(+) p Fl 1601 1415 a(i) p
Fp(0;) p Fl 1727 1415 a(K) p Fi 1810 1430 a(am) p Fp
1914 1415 a(\)) p Fl(r) p Fi 1996 1430 a(\027) p Fk 2039
1415 a(k) p Fp 2116 1415 a(=) p Fl 2220 1415 a(O) p Fp
2298 1415 a(\() p Fl(d) p Fh 2387 1374 a(\000) p Fi(\027) p
Fp 2484 1415 a(\)) p 2544 1415 a(+) p Fl 2642 1415 a(O) p
Fp 2720 1415 a(\() p Fl(d) p Fh 2809 1374 a(\000) p Fi(L) p
Fp 2915 1415 a(\)) p Fk(k) p Fl(Q) p Fi 3080 1430 a(\027) p
Fk 3123 1415 a(k) p Fp 0 1631 a(for) p 149 1631 a(an) m(y) p
Fl 333 1631 a(L) p Fk 427 1631 a(\035) p Fp 555 1631
a(1.) p 674 1631 a(W) p 766 1631 a(e) p 842 1631 a(pro) m(v) m(e) p
1105 1631 a(the) p 1273 1631 a(follo) m(wing) p 1685
1631 a(t) m(w) m(o) p 1869 1631 a(estimates) p Fk 594
1846 a(k) p Fl(r) p Fi 688 1861 a(\027) p Fl 731 1846
a(R) p Fp 806 1846 a(\() p Fl(E) p Fp 944 1846 a(+) p
Fl 1042 1846 a(i) p Fp(0;) p Fl 1168 1846 a(H) p Fi 1249
1861 a(a) p Fp 1290 1846 a(\)) p Fl(X) p Fm 1417 1805
a(+) p Fi 1409 1871 a(am) p Fl 1513 1846 a(r) p Fh 1557
1862 a(\000) p Fi(\027) t(=) p Fm(3) p Fk 1726 1846 a(k) p
Fp 1859 1846 a(=) p Fl 2017 1846 a(O) p Fp 2095 1846
a(\() p Fl(d) p Fh 2184 1805 a(\000) p Fi(\027) t(=) p
Fm(2) p Fp 2352 1846 a(\)) p 2412 1846 a(+) p Fl 2510
1846 a(O) p Fp 2588 1846 a(\() p Fl(d) p Fh 2677 1805
a(\000) p Fi(L) p Fp 2783 1846 a(\)) p Fk(k) p Fl(Q) p
Fi 2948 1861 a(\027) p Fk 2991 1846 a(k) p Fl(;) p Fp
3343 1846 a(\(5.7\)) p Fk 459 1992 a(k) p Fl(r) p Fh
553 2007 a(\000) p Fi(\027) t(=) p Fm(3) p Fl 721 1992
a(X) p Fh 810 1951 a(\000) p Fi 802 2016 a(am) p Fl 906
1992 a(R) p Fp 981 1992 a(\() p Fl(E) p Fp 1119 1992
a(+) p Fl 1217 1992 a(i) p Fp(0;) p Fl 1343 1992 a(K) p
Fi 1426 2007 a(am) p Fp 1530 1992 a(\)) p Fl(r) p Fi
1612 2007 a(\027) t(=) p Fm(2) p Fk 1726 1992 a(k) p
Fp 1859 1992 a(=) p Fl 2017 1992 a(O) p Fp 2095 1992
a(\(1\)) p 3343 1992 a(\(5.8\)) 0 2207 y(after) p 230
2207 a(completing) p 729 2207 a(the) p 897 2207 a(pro) s(of.) p
1189 2207 a(Let) p 1364 2207 a(\005) p Fi 1437 2222 a(j) p
Fp 1473 2207 a(\() p Fl(\022) p Fp 1559 2207 a(\)) p
1630 2207 a(b) s(e) p 1763 2207 a(de\014ned) p 2098 2207
a(b) m(y) p 2234 2207 a(\(3.5\).) p 2505 2207 a(W) p
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1642 2328 a(w) m(e) p 1786 2328 a(set) p Fl 1938 2328
a(R) p Fi 2012 2343 a(m) p Fp 2107 2328 a(=) p Fl 2210
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Fp 3174 2328 a(.) p 3245 2328 a(Since) p Fk 230 2554
a(k) p Fl(r) p Fi 324 2570 a(\027) t(=) p Fm(3) p Fl
438 2554 a(R) p Fp 513 2554 a(\() p Fl(E) p Fp 651 2554
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2569 a(\027) p Fk 1187 2554 a(k) p Fp 1264 2554 a(=) p
Fl 1368 2554 a(O) p Fp 1446 2554 a(\() p Fl(d) p Fh 1535
2513 a(\000) p Fm(2) p Fi(\027) t(=) p Fm(3) p Fp 1738
2554 a(\)) p Fk(k) p Fl(r) p Fi 1870 2570 a(\027) t(=) p
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Fp 2196 2554 a(+) p Fl 2294 2554 a(i) p Fp(0;) p Fl 2420
2554 a(K) p Fi 2503 2569 a(am) p Fp 2607 2554 a(\)) p
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2554 a(\() p Fl(d) p Fh 3151 2513 a(\000) p Fi(\027) p
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2770 a(ha) m(v) m(e) p Fk 318 2986 a(k) p Fl(r) p Fi
412 3001 a(\027) p Fl 454 2986 a(R) p Fp 529 2986 a(\() p
Fl(E) p Fp 668 2986 a(+) p Fl 766 2986 a(i) p Fp(0;) p
Fl 892 2986 a(H) p Fi 973 3001 a(a) p Fp 1014 2986 a(\)) p
Fl(X) p Fm 1141 2945 a(+) p Fi 1133 3011 a(am) p Fl 1237
2986 a(R) p Fp 1312 2986 a(\() p Fl(E) p Fp 1450 2986
a(+) p Fl 1548 2986 a(i) p Fp(0;) p Fl 1674 2986 a(K) p
Fi 1757 3001 a(am) p Fp 1861 2986 a(\)) p Fl(r) p Fi
1943 3001 a(\027) p Fk 1986 2986 a(k) p Fp 2063 2986
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Fp 2537 2986 a(\)) p 2597 2986 a(+) p Fl 2695 2986 a(O) p
Fp 2773 2986 a(\() p Fl(d) p Fh 2862 2945 a(\000) p Fi(L) p
Fp 2968 2986 a(\)) p Fk(k) p Fl(Q) p Fi 3133 3001 a(\027) p
Fk 3176 2986 a(k) p Fp 0 3202 a(b) m(y) p 135 3202 a(\(5.7\),) p
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a(X) p Fh 1351 3165 a(\000) p Fi 1343 3226 a(am) p Fp
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1925 3202 a(from) p 2155 3202 a(\(5.8\)) p 2388 3202
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Fl 664 3417 a(R) p Fp 739 3417 a(\() p Fl(E) p Fp 877
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a(H) p Fi 1182 3432 a(a) p Fp 1223 3417 a(\)) p Fl(X) p
Fh 1350 3376 a(\000) p Fi 1342 3442 a(am) p Fl 1446 3417
a(R) p Fp 1521 3417 a(\() p Fl(E) p Fp 1659 3417 a(+) p
Fl 1757 3417 a(i) p Fp(0;) p Fl 1883 3417 a(K) p Fi 1966
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a(\027) p Fk 2195 3417 a(k) p Fp 2273 3417 a(=) p Fl
2376 3417 a(O) p Fp 2454 3417 a(\() p Fl(d) p Fh 2543
3376 a(\000) p Fi(\027) t(=) p Fm(2) p Fp 2711 3417 a(\)) p
Fk(k) p Fl(R) p Fi 2873 3432 a(m) p Fk 2939 3417 a(k) p
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550 3633 a(the) p 718 3633 a(ab) s(o) m(v) m(e) p 994
3633 a(estimates) p 1424 3633 a(to) p 1543 3633 a(obtain) p
Fk 501 3849 a(k) p Fl(Q) p Fm 628 3864 a(1) p Fi(\027) p
Fk 706 3849 a(k) p Fp 784 3849 a(=) p Fl 888 3849 a(O) p
Fp 966 3849 a(\() p Fl(d) p Fh 1055 3808 a(\000) p Fi(\027) p
Fp 1151 3849 a(\)) p 1212 3849 a(+) p Fl 1310 3849 a(O) p
Fp 1388 3849 a(\() p Fl(d) p Fh 1477 3808 a(\000) p Fi(\027) t(=) p
Fm(2) p Fp 1644 3849 a(\)) p 1699 3849 a(\() p Fk(k) p
Fl(P) p Fi 1850 3864 a(m) p Fk 1916 3849 a(k) p Fp 1988
3849 a(+) p Fk 2086 3849 a(k) p Fl(R) p Fi 2210 3864
a(m) p Fk 2276 3849 a(k) p Fp(\)) p 2386 3849 a(+) p
Fl 2484 3849 a(O) p Fp 2562 3849 a(\() p Fl(d) p Fh 2651
3808 a(\000) p Fi(L) p Fp 2757 3849 a(\)) p Fk(k) p Fl(Q) p
Fi 2922 3864 a(\027) p Fk 2965 3849 a(k) p Fl(:) p Fp
3343 3849 a(\(5.9\)) 0 4064 y(W) p 92 4064 a(e) p 173
4064 a(ev) p 262 4064 a(aluate) p 559 4064 a(the) p 732
4064 a(other) p 991 4064 a(op) s(erator) p Fl 1389 4064
a(Q) p Fm 1466 4079 a(2) p Fi(\027) p Fp 1545 4064 a(.) p
1629 4064 a(Let) p Fl 1808 4064 a(m) p Fk 1929 4064 a(2) p
Fl 2031 4064 a(a) p Fp 2120 4064 a(b) s(e) p 2257 4064
a(as) p 2382 4064 a(ab) s(o) m(v) m(e.) p 2710 4064 a(W) p
2802 4064 a(e) p 2883 4064 a(tak) m(e) p Fl 3099 4064
a(l) p Fk 3165 4064 a(2) p Fl 3267 4064 a(a) p Fp 3356
4064 a(suc) m(h) 0 4185 y(that) p Fk 213 4185 a(j) p
Fl(d) p Fi 292 4200 a(ml) p Fk 379 4185 a(j) p Fp 437
4185 a(=) p 542 4185 a(max) p Fk 741 4185 a(fj) p Fl(d) p
Fi 870 4200 a(mk) p Fk 974 4185 a(j) p Fp 1031 4185 a(:) p
Fl 1088 4185 a(k) p Fk 1172 4185 a(2) p Fl 1268 4185
a(a) p Fk(g) p Fp(.) p 1443 4185 a(Since) p Fk 1699 4185
a(j) p Fl(a) p Fk(j) p 1835 4185 a(\025) p Fp 1943 4185
a(2,) p Fl 2053 4185 a(l) p Fk 2114 4185 a(6) p Fp(=) p
Fl 2219 4185 a(m) p Fp(.) p 2379 4185 a(W) p 2471 4185
a(e) p 2548 4185 a(de\014ne) p Fl 2831 4185 a(K) p Fi
2914 4200 a(al) p Fp 3007 4185 a(=) p Fl 3113 4185 a(K) p
Fi 3196 4200 a(al) p Fp 3259 4185 a(\() p Fl(\022) p
Fi 3342 4200 a(l) p Fp 3369 4185 a(\)) p 3440 4185 a(b) m(y) 0
4305 y(\(3.6\)) p 233 4305 a(with) p Fl 455 4305 a(\022) p
Fi 500 4320 a(l) p Fp 554 4305 a(=) p Fj 676 4272 a(b) p
Fl 658 4305 a(d) p Fi 709 4320 a(ml) p Fp 797 4305 a(.) p
867 4305 a(Since) p 1122 4305 a(1) p Fk 1193 4305 a(\000) p
Fl 1293 4305 a( ) p Fi 1356 4320 a(m) p Fp 1455 4305
a(v) p 1501 4305 a(anishes) p 1838 4305 a(around) p Fl
2169 4305 a(d) p Fi 2220 4320 a(l) p Fp 2246 4305 a(,) p
2305 4305 a(w) m(e) p 2449 4305 a(ha) m(v) m(e) p Fl
208 4521 a(Q) p Fm 285 4536 a(2) p Fi(\027) p Fp 391
4521 a(=) p Fl 495 4521 a(r) p Fi 539 4536 a(\027) p
Fp 582 4521 a(\(1) p Fk 691 4521 a(\000) p Fl 790 4521
a( ) p Fi 853 4536 a(m) p Fp 920 4521 a(\)) p Fl(R) p
Fp 1033 4521 a(\() p Fl(E) p Fp 1171 4521 a(+) p Fl 1269
4521 a(i) p Fp(0;) p Fl 1395 4521 a(K) p Fi 1478 4536
a(al) p Fp 1542 4521 a(\)) p Fl(r) p Fi 1624 4536 a(\027) p
Fp 1689 4521 a(+) p Fl 1787 4521 a(r) p Fi 1831 4536
a(\027) p Fl 1874 4521 a(R) p Fp 1949 4521 a(\() p Fl(E) p
Fp 2087 4521 a(+) p Fl 2185 4521 a(i) p Fp(0;) p Fl 2311
4521 a(H) p Fi 2392 4536 a(a) p Fp 2434 4521 a(\)) p
Fl(W) p Fi 2564 4536 a(al) p Fl 2627 4521 a(R) p Fp 2702
4521 a(\() p Fl(E) p Fp 2840 4521 a(+) p Fl 2938 4521
a(i) p Fp(0;) p Fl 3064 4521 a(K) p Fi 3147 4536 a(al) p
Fp 3210 4521 a(\)) p Fl(r) p Fi 3292 4536 a(\027) p Fp
0 4737 a(b) m(y) p 135 4737 a(Lemma) p 484 4737 a(3.1,) p
668 4737 a(where) p Fl 860 4952 a(W) p Fi 952 4967 a(al) p
Fp 1043 4952 a(=) p 1147 4952 a([1) p Fk 1245 4952 a(\000) p
Fl 1344 4952 a( ) p Fi 1407 4967 a(m) p Fl 1474 4952
a(;) p 1518 4952 a(K) p Fi 1601 4967 a(al) p Fp 1664
4952 a(]) p Fk 1714 4952 a(\000) p Fp 1813 4952 a(\() p
Fl(H) p Fi 1932 4967 a(a) p Fk 1996 4952 a(\000) p Fl
2096 4952 a(K) p Fi 2179 4967 a(al) p Fp 2242 4952 a(\)\(1) p
Fk 2389 4952 a(\000) p Fl 2488 4952 a( ) p Fi 2551 4967
a(m) p Fp 2618 4952 a(\)) p Fl(:) p Fp 0 5168 a(As) p
151 5168 a(is) p 256 5168 a(easily) p 532 5168 a(seen,) p
780 5168 a(\() p Fl(H) p Fi 899 5183 a(a) p Fk 968 5168
a(\000) p Fl 1072 5168 a(K) p Fi 1155 5183 a(al) p Fp
1219 5168 a(\)\(1) p Fk 1370 5168 a(\000) p Fl 1475 5168
a( ) p Fi 1538 5183 a(m) p Fp 1605 5168 a(\)) p 1682
5168 a(=) p 1798 5168 a(0) p 1887 5168 a(and) p 2083
5168 a(hence) p 2361 5168 a(the) p 2537 5168 a(co) s(e\016cien) m(ts) p
3037 5168 a(of) p Fl 3156 5168 a(W) p Fi 3248 5183 a(al) p
Fp 3351 5168 a(ha) m(v) m(e) 0 5288 y(supp) s(ort) p
361 5288 a(in) p Fk 475 5288 a(f) p Fl(d) p Fi 576 5252
a(\033) p Fl 622 5288 a(=) p Fp(2) p Fl 747 5288 a(<) p
Fk 851 5288 a(j) p Fl(x) p Fk 956 5288 a(\000) p Fl 1056
5288 a(d) p Fi 1107 5303 a(m) p Fk 1173 5288 a(j) p Fl
1228 5288 a(<) p 1332 5288 a(d) p Fi 1383 5252 a(\033) p
Fk 1429 5288 a(g) p Fp 1512 5288 a(only) p 1685 5288
a(.) p 1756 5288 a(Th) m(us) p 2003 5288 a(w) m(e) p
2146 5288 a(ha) m(v) m(e) p Fk 1053 5504 a(k) p Fl(Q) p
Fm 1180 5519 a(2) p Fi(\027) p Fk 1259 5504 a(k) p Fp
1336 5504 a(=) p Fl 1440 5504 a(O) p Fp 1518 5504 a(\() p
Fl(d) p Fh 1607 5463 a(\000) p Fi(\027) p Fp 1704 5504
a(\)) p 1764 5504 a(+) p Fl 1862 5504 a(O) p Fp 1940
5504 a(\() p Fl(d) p Fh 2029 5463 a(\000) p Fi(\027) t(=) p
Fm(2) p Fp 2196 5504 a(\)) p Fk(k) p Fl(P) p Fi 2347
5519 a(m) p Fk 2413 5504 a(k) p Fl(:) p Fp 1723 5753
a(26) p 90 rotate dyy eop
%%Page: 27 27
27 26 bop Fp 0 407 a(This,) p 250 407 a(together) p 635
407 a(with) p 857 407 a(\(5.9\),) p 1117 407 a(implies) p
1448 407 a(that) p Fk 836 621 a(k) p Fl(Q) p Fi 963 636
a(\027) p Fk 1006 621 a(k) p Fp 1084 621 a(=) p Fl 1187
621 a(O) p Fp 1265 621 a(\() p Fl(d) p Fh 1354 580 a(\000) p
Fi(\027) p Fp 1451 621 a(\)) p 1511 621 a(+) p Fl 1609
621 a(O) p Fp 1687 621 a(\() p Fl(d) p Fh 1776 580 a(\000) p
Fi(\027) t(=) p Fm(2) p Fp 1944 621 a(\)) p 1999 621
a(\() p Fk 2036 621 a(k) p Fl(P) p Fi 2149 636 a(m) p
Fk 2215 621 a(k) p Fp 2287 621 a(+) p Fk 2385 621 a(k) p
Fl(R) p Fi 2509 636 a(m) p Fk 2576 621 a(k) p Fp(\)) p
Fl 2680 621 a(:) p Fp 3294 621 a(\(5.10\)) 0 835 y(The) p
196 835 a(next) p 411 835 a(task) p 616 835 a(is) p 710
835 a(to) p 825 835 a(ev) p 914 835 a(aluate) p Fl 1202
835 a(P) p Fi 1265 850 a(m) p Fp 1360 835 a(and) p Fl
1545 835 a(R) p Fi 1619 850 a(m) p Fp 1714 835 a(on) p
1845 835 a(the) p 2009 835 a(righ) m(t) p 2240 835 a(side) p
2431 835 a(of) p 2538 835 a(\(5.10\).) p 2856 835 a(Since) p
Fl 3107 835 a( ) p Fi 3170 850 a(l) p Fl 3196 835 a(b) p
Fi 3237 850 a(m) p Fp 3332 835 a(=) p Fl 3435 835 a(b) p
Fi 3476 850 a(m) p Fp 0 955 a(for) p Fl 149 955 a(l) p
Fk 208 955 a(6) p Fp(=) p Fl 312 955 a(m) p Fp(,) p 456
955 a(w) m(e) p 600 955 a(ha) m(v) m(e) p Fl 201 1169
a(P) p Fi 264 1184 a(m) p Fp 358 1169 a(=) p Fl 462 1169
a(r) p Fi 506 1184 a(\027) p Fl 549 1169 a( ) p Fi 612
1184 a(l) p Fl 638 1169 a(R) p Fp 713 1169 a(\() p Fl(E) p
Fp 852 1169 a(+) p Fl 950 1169 a(i) p Fp(0;) p Fl 1076
1169 a(K) p Fi 1159 1184 a(al) p Fp 1222 1169 a(\)) p
Fl(b) p Fi 1301 1184 a(m) p Fm(1) p Fp 1425 1169 a(+) p
Fl 1523 1169 a(r) p Fi 1567 1184 a(\027) p Fl 1610 1169
a(R) p Fp 1685 1169 a(\() p Fl(E) p Fp 1824 1169 a(+) p
Fl 1922 1169 a(i) p Fp(0;) p Fl 2048 1169 a(H) p Fi 2129
1184 a(a) p Fp 2170 1169 a(\)) p Fl(V) p Fi 2265 1184
a(al) p Fl 2328 1169 a(R) p Fp 2403 1169 a(\() p Fl(E) p
Fp 2541 1169 a(+) p Fl 2639 1169 a(i) p Fp(0;) p Fl 2765
1169 a(K) p Fi 2848 1184 a(al) p Fp 2912 1169 a(\)) p
Fl(b) p Fi 2991 1184 a(m) p Fm(1) p Fp 3294 1169 a(\(5.11\)) 0
1383 y(with) p Fl 229 1383 a(V) p Fi 286 1398 a(al) p
Fp 389 1383 a(=) p Fl 504 1383 a(V) p Fi 561 1398 a(al) p
Fp 625 1383 a(\() p Fl(\022) p Fi 708 1398 a(l) p Fp
734 1383 a(\).) p 863 1383 a(The) p 1071 1383 a(\014rst) p
1279 1383 a(op) s(erator) p 1678 1383 a(ob) s(eys) p
1957 1383 a(the) p 2132 1383 a(b) s(ound) p Fl 2440 1383
a(O) p Fp 2518 1383 a(\() p Fl(d) p Fh 2607 1347 a(\000) p
Fi(\027) t(=) p Fm(2) p Fp 2774 1383 a(\)) p 2851 1383
a(b) m(y) p 2994 1383 a(inductiv) m(e) p 3424 1383 a(as-) 0
1504 y(sumption.) p 478 1504 a(W) p 570 1504 a(e) p 650
1504 a(estimate) p 1045 1504 a(the) p 1217 1504 a(second) p
1535 1504 a(op) s(erator.) p 1978 1504 a(Note) p 2217
1504 a(that) p Fl 2433 1504 a(l) p Fk 2498 1504 a(2) p
Fl 2599 1504 a(a) p Fp 2686 1504 a(and) p Fl 2880 1504
a(\022) p Fi 2925 1519 a(l) p Fp 2986 1504 a(=) p Fj
3114 1470 a(b) p Fl 3096 1504 a(d) p Fi 3147 1519 a(ml) p
Fp 3271 1504 a(satisfy) 0 1624 y(\(3.12\).) p 357 1624
a(W) p 449 1624 a(e) p 537 1624 a(decomp) s(ose) p Fl
1040 1624 a(V) p Fi 1097 1639 a(al) p Fp 1205 1624 a(as) p
1337 1624 a(in) p 1464 1624 a(\(3.14\).) p 1820 1624
a(The) p 2033 1624 a(co) s(e\016cien) m(ts) p 2539 1624
a(of) p Fl 2662 1624 a(X) p Fi 2743 1639 a(al) p Fp 2852
1624 a(ha) m(v) m(e) p 3089 1624 a(supp) s(ort) p 3462
1624 a(in) 17 1719 y(~) p Fl 0 1745 a(S) p Fi 60 1760
a(l) p Fp 114 1745 a(=) p Fk 217 1745 a(fj) p Fl(x) p
Fk 372 1745 a(\000) p Fl 472 1745 a(d) p Fi 523 1760
a(l) p Fk 549 1745 a(j) p Fl 604 1745 a(<) p Fp 707 1745
a(2) p Fl(M) p 860 1745 a(d) p Fi 911 1708 a(\033) p
Fk 959 1745 a(g) p Fp(,) p 1068 1745 a(and) p 1258 1745
a(hence) p 1529 1745 a(w) m(e) p 1672 1745 a(ha) m(v) m(e) p
Fk 972 1959 a(k) p Fp 1026 1959 a(~) p Fl 1022 1959 a(s) p
Fi 1068 1974 a(l) p Fm 1090 1974 a(1) p Fl 1129 1959
a(R) p Fp 1204 1959 a(\() p Fl(E) p Fp 1342 1959 a(+) p
Fl 1440 1959 a(i) p Fp(0;) p Fl 1566 1959 a(K) p Fi 1649
1974 a(al) p Fp 1712 1959 a(\)) p Fl(b) p Fi 1791 1974
a(m) p Fm(1) p Fk 1894 1959 a(k) p Fp 1971 1959 a(=) p
Fl 2075 1959 a(O) p Fp 2153 1959 a(\() p Fl(d) p Fh 2242
1918 a(\000) p Fm(1) p Fi(=) p Fm(4+) p Fi(c\033) p Fp
2534 1959 a(\)) 0 2173 y(b) m(y) p 141 2173 a(making) p
491 2173 a(use) p 666 2173 a(of) p 782 2173 a(\(4.6\)) p
1021 2173 a(as) p 1147 2173 a(inductiv) m(e) p 1575 2173
a(assumption) p 2097 2173 a(for) p Fl 2252 2173 a(K) p
Fi 2335 2188 a(al) p Fp 2398 2173 a(,) p 2465 2173 a(where) p
2757 2173 a(~) p Fl 2753 2173 a(s) p Fi 2799 2188 a(l) p
Fm 2821 2188 a(1) p Fp 2860 2173 a(\() p Fl(x) p Fp(\)) p
3029 2173 a(=) p 3146 2173 a(~) p Fl 3142 2173 a(s) p
Fi 3188 2188 a(l) p Fp 3214 2173 a(\() p Fl(x) p Fp(\)) p
Fk(h) p Fl(x) p Fk 3466 2173 a(\000) p Fl 0 2293 a(d) p
Fi 51 2308 a(l) p Fk 77 2293 a(i) p Fh 116 2257 a(\000) p
Fm(1) p Fi(=) p Fm(2) p Fp 313 2293 a(with) p 535 2293
a(c) m(haracteristic) p 1134 2293 a(function) p 1521
2293 a(~) p Fl 1517 2293 a(s) p Fi 1563 2308 a(l) p Fp
1621 2293 a(of) 1749 2268 y(~) p Fl 1732 2293 a(S) p
Fi 1792 2308 a(l) p Fp 1818 2293 a(.) p 1889 2293 a(This) p
2111 2293 a(implies) p 2442 2293 a(that) p Fk 679 2507
a(k) p Fl(r) p Fi 773 2522 a(\027) p Fl 816 2507 a(R) p
Fp 891 2507 a(\() p Fl(E) p Fp 1030 2507 a(+) p Fl 1128
2507 a(i) p Fp(0;) p Fl 1254 2507 a(H) p Fi 1335 2522
a(a) p Fp 1376 2507 a(\)) p Fl(X) p Fi 1495 2522 a(al) p
Fl 1558 2507 a(R) p Fp 1633 2507 a(\() p Fl(E) p Fp 1771
2507 a(+) p Fl 1869 2507 a(i) p Fp(0;) p Fl 1995 2507
a(K) p Fi 2078 2522 a(al) p Fp 2142 2507 a(\)) p Fl(b) p
Fi 2221 2522 a(m) p Fm(1) p Fk 2323 2507 a(k) p Fp 2400
2507 a(=) p Fl 2504 2507 a(o) p Fp(\(1\)) p Fk(k) p Fl(P) p
Fi 2789 2522 a(l) p Fk 2814 2507 a(k) p Fp 0 2721 a(for) p
149 2721 a(0) p Fl 225 2721 a(<) p 329 2721 a(\033) p
Fk 416 2721 a(\034) p Fp 543 2721 a(1) p 624 2721 a(small) p
880 2721 a(enough.) p 1254 2721 a(W) p 1346 2721 a(e) p
1421 2721 a(claim) p 1682 2721 a(that) p Fk 608 2935
a(k) p Fl(r) p Fi 702 2950 a(\027) p Fl 745 2935 a(R) p
Fp 820 2935 a(\() p Fl(E) p Fp 959 2935 a(+) p Fl 1057
2935 a(i) p Fp(0;) p Fl 1183 2935 a(H) p Fi 1264 2950
a(a) p Fp 1305 2935 a(\)) p Fl(X) p Fm 1432 2894 a(+) p
Fi 1424 2960 a(al) p Fl 1491 2935 a(r) p Fh 1535 2951
a(\000) p Fi(\027) t(=) p Fm(3) p Fk 1703 2935 a(k) p
Fp 1781 2935 a(=) p Fl 1884 2935 a(O) p Fp 1962 2935
a(\() p Fl(d) p Fh 2051 2894 a(\000) p Fi(\027) t(=) p
Fm(2) p Fp 2219 2935 a(\)) p 2279 2935 a(+) p Fl 2377
2935 a(O) p Fp 2455 2935 a(\() p Fl(d) p Fh 2544 2894
a(\000) p Fi(L) p Fp 2650 2935 a(\)) p Fk(k) p Fl(Q) p
Fi 2815 2950 a(\027) p Fk 2858 2935 a(k) p Fl(:) p Fp
3294 2935 a(\(5.12\)) 0 3149 y(This) p 223 3149 a(is) p
321 3149 a(also) p 516 3149 a(v) m(eri\014ed) p 858 3149
a(after) p 1088 3149 a(completing) p 1587 3149 a(the) p
1755 3149 a(pro) s(of.) p 2047 3149 a(Since) p Fk 1009
3363 a(k) p Fl(r) p Fi 1103 3379 a(\027) t(=) p Fm(3) p
Fl 1216 3363 a(R) p Fp 1291 3363 a(\() p Fl(E) p Fp 1430
3363 a(+) p Fl 1528 3363 a(i) p Fp(0;) p Fl 1654 3363
a(K) p Fi 1737 3378 a(al) p Fp 1800 3363 a(\)) p Fl(b) p
Fi 1879 3378 a(m) p Fm(1) p Fk 1981 3363 a(k) p Fp 2059
3363 a(=) p Fl 2162 3363 a(O) p Fp 2240 3363 a(\() p
Fl(d) p Fh 2329 3322 a(\000) p Fi(\027) t(=) p Fm(6) p
Fp 2497 3363 a(\)) 0 3577 y(b) m(y) p 135 3577 a(inductiv) m(e) p
558 3577 a(assumption,) p 1101 3577 a(it) p 1199 3577
a(follo) m(ws) p 1519 3577 a(from) p 1749 3577 a(\(5.12\)) p
2031 3577 a(that) p Fk 332 3792 a(k) p Fl(r) p Fi 426
3807 a(\027) p Fl 469 3792 a(R) p Fp 544 3792 a(\() p
Fl(E) p Fp 683 3792 a(+) p Fl 781 3792 a(i) p Fp(0;) p
Fl 907 3792 a(H) p Fi 988 3807 a(a) p Fp 1029 3792 a(\)) p
Fl(X) p Fm 1156 3750 a(+) p Fi 1148 3817 a(al) p Fl 1215
3792 a(R) p Fp 1290 3792 a(\() p Fl(E) p Fp 1428 3792
a(+) p Fl 1526 3792 a(i) p Fp(0;) p Fl 1652 3792 a(K) p
Fi 1735 3807 a(al) p Fp 1798 3792 a(\)) p Fl(b) p Fi
1877 3807 a(m) p Fm(1) p Fk 1979 3792 a(k) p Fp 2057
3792 a(=) p Fl 2160 3792 a(O) p Fp 2238 3792 a(\() p
Fl(d) p Fh 2327 3750 a(\000) p Fi(\027) t(=) p Fm(2) p
Fp 2495 3792 a(\)) p 2555 3792 a(+) p Fl 2653 3792 a(O) p
Fp 2731 3792 a(\() p Fl(d) p Fh 2820 3750 a(\000) p Fi(L) p
Fp 2926 3792 a(\)) p Fk(k) p Fl(Q) p Fi 3091 3807 a(\027) p
Fk 3134 3792 a(k) p Fl(:) p Fp 0 4006 a(By) p 153 4006
a(Lemma) p 501 4006 a(4.2,) p 685 4006 a(w) m(e) p 829
4006 a(ha) m(v) m(e) p Fk 1054 4006 a(k) p Fl(r) p Fh
1148 4021 a(\000) p Fi(L) p Fl 1254 4006 a(X) p Fh 1343
3964 a(\000) p Fi 1335 4031 a(al) p Fl 1402 4006 a(R) p
Fp 1477 4006 a(\() p Fl(E) p Fp 1615 4006 a(+) p Fl 1713
4006 a(i) p Fp(0;) p Fl 1839 4006 a(K) p Fi 1922 4021
a(al) p Fp 1985 4006 a(\)) p Fl(b) p Fi 2064 4021 a(m) p
Fm(1) p Fk 2167 4006 a(k) p Fp 2244 4006 a(=) p Fl 2348
4006 a(O) p Fp 2426 4006 a(\(1\)) p 2582 4006 a(for) p
2731 4006 a(an) m(y) p Fl 2915 4006 a(L) p Fk 3009 4006
a(\035) p Fp 3136 4006 a(1,) p 3245 4006 a(so) p 3364
4006 a(that) p Fk 579 4220 a(k) p Fl(r) p Fi 673 4235
a(\027) p Fl 716 4220 a(R) p Fp 791 4220 a(\() p Fl(E) p
Fp 929 4220 a(+) p Fl 1027 4220 a(i) p Fp(0;) p Fl 1153
4220 a(H) p Fi 1234 4235 a(a) p Fp 1275 4220 a(\)) p
Fl(X) p Fh 1402 4178 a(\000) p Fi 1394 4245 a(al) p Fl
1461 4220 a(R) p Fp 1536 4220 a(\() p Fl(E) p Fp 1674
4220 a(+) p Fl 1772 4220 a(i) p Fp(0;) p Fl 1898 4220
a(K) p Fi 1981 4235 a(al) p Fp 2044 4220 a(\)) p Fl(b) p
Fi 2123 4235 a(m) p Fm(1) p Fk 2226 4220 a(k) p Fp 2303
4220 a(=) p Fl 2407 4220 a(O) p Fp 2485 4220 a(\() p
Fl(d) p Fh 2574 4179 a(\000) p Fi(L) p Fp 2680 4220 a(\)) p
Fk(k) p Fl(Q) p Fi 2845 4235 a(\027) p Fk 2888 4220 a(k) p
Fl(:) p Fp 0 4434 a(A) p 106 4434 a(similar) p 426 4434
a(b) s(ound) p 727 4434 a(is) p 825 4434 a(true) p 1031
4434 a(for) p Fl 1180 4434 a(X) p Fh 1269 4398 a(1) p
Fi 1261 4458 a(al) p Fp 1343 4434 a(.) p 1414 4434 a(Th) m(us) p
1661 4434 a(w) m(e) p 1804 4434 a(ha) m(v) m(e) p 2029
4434 a(sho) m(wn) p 2325 4434 a(that) p Fl 2537 4434
a(P) p Fi 2600 4449 a(m) p Fp 2699 4434 a(ob) s(eys) p
Fk 826 4648 a(k) p Fl(P) p Fi 939 4663 a(m) p Fk 1005
4648 a(k) p Fp 1083 4648 a(=) p Fl 1186 4648 a(O) p Fp
1264 4648 a(\() p Fl(d) p Fh 1353 4607 a(\000) p Fi(\027) t(=) p
Fm(2) p Fp 1521 4648 a(\)) p 1581 4648 a(+) p Fl 1679
4648 a(o) p Fp(\(1\)) p Fk(k) p Fl(P) p Fi 1964 4663
a(l) p Fk 1989 4648 a(k) p Fp 2061 4648 a(+) p Fl 2159
4648 a(O) p Fp 2237 4648 a(\() p Fl(d) p Fh 2326 4607
a(\000) p Fi(L) p Fp 2432 4648 a(\)) p Fk(k) p Fl(Q) p
Fi 2597 4663 a(\027) p Fk 2640 4648 a(k) p Fl(:) p Fp
3294 4648 a(\(5.13\)) 0 4862 y(A) p 106 4862 a(similar) p
426 4862 a(argumen) m(t) p 862 4862 a(applies) p 1188
4862 a(to) p Fl 1307 4862 a(R) p Fi 1381 4877 a(m) p
Fp 1448 4862 a(.) p 1518 4862 a(W) p 1610 4862 a(e) p
1686 4862 a(represen) m(t) p Fl 2107 4862 a(R) p Fi 2181
4877 a(m) p Fp 2280 4862 a(as) p Fl 170 5076 a(R) p Fi
244 5091 a(m) p Fp 339 5076 a(=) p Fl 442 5076 a(r) p
Fi 486 5091 a(\027) p Fl 529 5076 a( ) p Fi 592 5091
a(l) p Fl 619 5076 a(R) p Fp 694 5076 a(\() p Fl(E) p
Fp 832 5076 a(+) p Fl 930 5076 a(i) p Fp(0;) p Fl 1056
5076 a(K) p Fi 1139 5091 a(al) p Fp 1202 5076 a(\)) p
Fl(\031) p Fi 1295 5091 a(m) p Fl 1362 5076 a(r) p Fi
1406 5091 a(\027) t(=) p Fm(3) p Fp 1542 5076 a(+) p
Fl 1640 5076 a(r) p Fi 1684 5091 a(\027) p Fl 1727 5076
a(R) p Fp 1802 5076 a(\() p Fl(E) p Fp 1940 5076 a(+) p
Fl 2038 5076 a(i) p Fp(0;) p Fl 2164 5076 a(H) p Fi 2245
5091 a(a) p Fp 2287 5076 a(\)) p Fl(V) p Fi 2382 5091
a(al) p Fl 2445 5076 a(R) p Fp 2520 5076 a(\() p Fl(E) p
Fp 2658 5076 a(+) p Fl 2756 5076 a(i) p Fp(0;) p Fl 2882
5076 a(K) p Fi 2965 5091 a(al) p Fp 3028 5076 a(\)) p
Fl(\031) p Fi 3121 5091 a(m) p Fl 3188 5076 a(r) p Fi
3232 5091 a(\027) t(=) p Fm(3) p Fl 3346 5076 a(:) p
Fp 0 5290 a(The) p 201 5290 a(\014rst) p 402 5290 a(op) s(erator) p
794 5290 a(ob) s(eys) p Fk 165 5504 a(k) p Fl(r) p Fi
259 5519 a(\027) p Fl 302 5504 a( ) p Fi 365 5519 a(l) p
Fl 392 5504 a(R) p Fp 467 5504 a(\() p Fl(E) p Fp 605
5504 a(+) p Fl 703 5504 a(i) p Fp(0;) p Fl 829 5504 a(K) p
Fi 912 5519 a(al) p Fp 975 5504 a(\)) p Fl(\031) p Fi
1068 5519 a(m) p Fl 1135 5504 a(r) p Fi 1179 5520 a(\027) t(=) p
Fm(3) p Fk 1293 5504 a(k) p Fp 1370 5504 a(=) p Fl 1474
5504 a(O) p Fp 1552 5504 a(\() p Fl(d) p Fh 1641 5463
a(\000) p Fm(2) p Fi(\027) t(=) p Fm(3) p Fp 1843 5504
a(\)) p Fk(k) p Fl(r) p Fi 1975 5520 a(\027) t(=) p Fm(3) p
Fl 2089 5504 a(R) p Fp 2164 5504 a(\() p Fl(E) p Fp 2302
5504 a(+) p Fl 2400 5504 a(i) p Fp(0;) p Fl 2526 5504
a(K) p Fi 2609 5519 a(al) p Fp 2672 5504 a(\)) p Fl(r) p
Fi 2754 5520 a(\027) t(=) p Fm(3) p Fk 2868 5504 a(k) p
Fp 2946 5504 a(=) p Fl 3049 5504 a(O) p Fp 3127 5504
a(\() p Fl(d) p Fh 3216 5463 a(\000) p Fi(\027) p Fp
3313 5504 a(\)) p Fl(:) p Fp 1723 5753 a(27) p 90 rotate
dyy eop
%%Page: 28 28
28 27 bop Fp 0 407 a(W) p 92 407 a(e) p 172 407 a(estimate) p
567 407 a(the) p 739 407 a(second) p 1058 407 a(op) s(erator) p
1455 407 a(b) m(y) p 1595 407 a(decomp) s(osing) p Fl
2177 407 a(V) p Fi 2234 422 a(al) p Fp 2332 407 a(=) p
Fl 2443 407 a(V) p Fi 2500 422 a(al) p Fp 2563 407 a(\() p
Fl(\022) p Fi 2646 422 a(l) p Fp 2672 407 a(\)) p 2747
407 a(as) p 2871 407 a(in) p 2989 407 a(\(3.14\).) p
3321 407 a(Since) p Fk 0 527 a(k) p Fp 54 527 a(~) p
Fl 50 527 a(s) p Fi 96 542 a(l) p Fm 118 542 a(1) p Fl
157 527 a(R) p Fp 232 527 a(\() p Fl(E) p Fp 370 527
a(+) p Fl 468 527 a(i) p Fp(0;) p Fl 594 527 a(K) p Fi
677 542 a(al) p Fp 740 527 a(\)) p Fl(\031) p Fi 833
542 a(m) p Fl 900 527 a(r) p Fi 944 543 a(\027) t(=) p
Fm(3) p Fk 1058 527 a(k) p Fp 1136 527 a(=) p Fl 1239
527 a(O) p Fp 1317 527 a(\() p Fl(d) p Fh 1406 491 a(\000) p
Fi(\027) t(=) p Fm(6) p Fp 1574 527 a(\),) p 1671 527
a(w) m(e) p 1815 527 a(ha) m(v) m(e) p Fk 611 728 a(k) p
Fl(r) p Fi 705 743 a(\027) p Fl 748 728 a(R) p Fp 823
728 a(\() p Fl(E) p Fp 961 728 a(+) p Fl 1059 728 a(i) p
Fp(0;) p Fl 1185 728 a(H) p Fi 1266 743 a(a) p Fp 1308
728 a(\)) p Fl(X) p Fi 1427 743 a(al) p Fl 1490 728 a(R) p
Fp 1565 728 a(\() p Fl(E) p Fp 1703 728 a(+) p Fl 1801
728 a(i) p Fp(0;) p Fl 1927 728 a(K) p Fi 2010 743 a(al) p
Fp 2073 728 a(\)) p Fl(\031) p Fi 2166 743 a(m) p Fl
2233 728 a(r) p Fi 2277 744 a(\027) t(=) p Fm(3) p Fk
2391 728 a(k) p Fp 2468 728 a(=) p Fl 2572 728 a(o) p
Fp(\(1\)) p Fk(k) p Fl(P) p Fi 2857 743 a(l) p Fk 2882
728 a(k) p Fp 0 929 a(and) p 190 929 a(it) p 287 929
a(follo) m(ws) p 608 929 a(from) p 838 929 a(\(5.12\)) p
1120 929 a(that) p Fk 264 1130 a(k) p Fl(r) p Fi 358
1145 a(\027) p Fl 401 1130 a(R) p Fp 476 1130 a(\() p
Fl(E) p Fp 614 1130 a(+) p Fl 712 1130 a(i) p Fp(0;) p
Fl 838 1130 a(H) p Fi 919 1145 a(a) p Fp 961 1130 a(\)) p
Fl(X) p Fm 1088 1089 a(+) p Fi 1080 1155 a(al) p Fl 1146
1130 a(R) p Fp 1221 1130 a(\() p Fl(E) p Fp 1360 1130
a(+) p Fl 1458 1130 a(i) p Fp(0;) p Fl 1584 1130 a(K) p
Fi 1667 1145 a(al) p Fp 1730 1130 a(\)) p Fl(\031) p
Fi 1823 1145 a(m) p Fl 1890 1130 a(r) p Fi 1934 1146
a(\027) t(=) p Fm(3) p Fk 2047 1130 a(k) p Fp 2125 1130
a(=) p Fl 2228 1130 a(O) p Fp 2306 1130 a(\() p Fl(d) p
Fh 2395 1089 a(\000) p Fi(\027) t(=) p Fm(2) p Fp 2563
1130 a(\)) p 2623 1130 a(+) p Fl 2721 1130 a(O) p Fp
2799 1130 a(\() p Fl(d) p Fh 2888 1089 a(\000) p Fi(L) p
Fp 2994 1130 a(\)) p Fk(k) p Fl(Q) p Fi 3159 1145 a(\027) p
Fk 3202 1130 a(k) p Fl(:) p Fp 0 1331 a(The) p 204 1331
a(free) p 395 1331 a(particle) p 751 1331 a(starting) p
1118 1331 a(from) p 1352 1331 a(supp) p Fl 1570 1331
a(X) p Fh 1659 1290 a(\000) p Fi 1651 1356 a(al) p Fp
1754 1331 a(nev) m(er) p 2017 1331 a(passes) p 2315 1331
a(o) m(v) m(er) p 2528 1331 a(\005) p Fi 2601 1346 a(m) p
Fp 2667 1331 a(\() p Fl(\022) p Fi 2750 1346 a(m) p Fp
2817 1331 a(\)) p 2891 1331 a(for) p Fl 3044 1331 a(t) p
3113 1331 a(<) p Fp 3223 1331 a(0.) p 3353 1331 a(This) 0
1452 y(enables) p 339 1452 a(us) p 461 1452 a(to) p 577
1452 a(use) p 742 1452 a(the) p 907 1452 a(same) p 1148
1452 a(argumen) m(t) p 1581 1452 a(as) p 1698 1452 a(in) p
1808 1452 a(the) p 1973 1452 a(pro) s(of) p 2225 1452
a(of) p 2333 1452 a(Lemma) p 2678 1452 a(4.2) p 2832
1452 a(and) p 3018 1452 a(w) m(e) p 3158 1452 a(can) p
3334 1452 a(sho) m(w) 0 1572 y(that) p Fk 955 1692 a(k) p
Fl(r) p Fh 1049 1707 a(\000) p Fi(L) p Fl 1156 1692 a(X) p
Fh 1245 1651 a(\000) p Fi 1237 1717 a(al) p Fl 1304 1692
a(R) p Fp 1379 1692 a(\() p Fl(E) p Fp 1517 1692 a(+) p
Fl 1615 1692 a(i) p Fp(0;) p Fl 1741 1692 a(K) p Fi 1824
1707 a(al) p Fp 1887 1692 a(\)) p Fl(\031) p Fi 1980
1707 a(m) p Fl 2047 1692 a(r) p Fi 2091 1708 a(\027) t(=) p
Fm(3) p Fk 2205 1692 a(k) p Fp 2282 1692 a(=) p Fl 2386
1692 a(O) p Fp 2464 1692 a(\(1\)) 0 1859 y(for) p 149
1859 a(an) m(y) p Fl 333 1859 a(L) p Fk 427 1859 a(\035) p
Fp 555 1859 a(1.) p 674 1859 a(The) p 874 1859 a(op) s(erator) p
Fl 1267 1859 a(X) p Fh 1356 1822 a(1) p Fi 1348 1883
a(al) p Fp 1463 1859 a(also) p 1659 1859 a(satis\014es) p
2018 1859 a(the) p 2186 1859 a(same) p 2431 1859 a(b) s(ound.) p
2769 1859 a(Th) m(us) p 3017 1859 a(w) m(e) p 3160 1859
a(get) p Fk 820 2060 a(k) p Fl(R) p Fi 944 2075 a(m) p
Fk 1011 2060 a(k) p Fp 1089 2060 a(=) p Fl 1192 2060
a(O) p Fp 1270 2060 a(\() p Fl(d) p Fh 1359 2018 a(\000) p
Fi(\027) t(=) p Fm(2) p Fp 1527 2060 a(\)) p 1587 2060
a(+) p Fl 1685 2060 a(o) p Fp(\(1\)) p Fk(k) p Fl(P) p
Fi 1970 2075 a(l) p Fk 1995 2060 a(k) p Fp 2067 2060
a(+) p Fl 2165 2060 a(O) p Fp 2243 2060 a(\() p Fl(d) p
Fh 2332 2018 a(\000) p Fi(L) p Fp 2438 2060 a(\)) p Fk(k) p
Fl(Q) p Fi 2603 2075 a(\027) p Fk 2646 2060 a(k) p Fl(:) p
Fp 3294 2060 a(\(5.14\)) 0 2261 y(W) p 92 2261 a(e) p
159 2261 a(ha) m(v) m(e) p 375 2261 a(to) p 485 2261
a(estimate) p Fl 867 2261 a(P) p Fi 930 2276 a(l) p Fp
979 2261 a(on) p 1105 2261 a(the) p 1264 2261 a(righ) m(t) p
1491 2261 a(side) p 1678 2261 a(of) p 1780 2261 a(\(5.13\)) p
2052 2261 a(and) p 2233 2261 a(\(5.14\).) p 2550 2261
a(T) p 2612 2261 a(o) p 2684 2261 a(do) p 2811 2261 a(this,) p
3021 2261 a(w) m(e) p 3155 2261 a(represen) m(t) p Fl
0 2381 a(P) p Fi 63 2396 a(l) p Fp 121 2381 a(as) p Fl
306 2582 a(P) p Fi 369 2597 a(l) p Fp 422 2582 a(=) p
Fl 526 2582 a(r) p Fi 570 2597 a(\027) p Fl 613 2582
a( ) p Fi 676 2597 a(m) p Fl 743 2582 a(R) p Fp 818 2582
a(\() p Fl(E) p Fp 956 2582 a(+) p Fl 1054 2582 a(i) p
Fp(0;) p Fl 1180 2582 a(K) p Fi 1263 2597 a(am) p Fp
1367 2582 a(\)) p Fl(b) p Fi 1446 2597 a(l) p Fm 1468
2597 a(1) p Fp 1530 2582 a(+) p Fl 1628 2582 a(r) p Fi
1672 2597 a(\027) p Fl 1715 2582 a(R) p Fp 1790 2582
a(\() p Fl(E) p Fp 1928 2582 a(+) p Fl 2026 2582 a(i) p
Fp(0;) p Fl 2152 2582 a(H) p Fi 2233 2597 a(a) p Fp 2274
2582 a(\)) p Fl(V) p Fi 2369 2597 a(am) p Fl 2473 2582
a(R) p Fp 2548 2582 a(\() p Fl(E) p Fp 2686 2582 a(+) p
Fl 2784 2582 a(i) p Fp(0;) p Fl 2910 2582 a(K) p Fi 2993
2597 a(am) p Fp 3097 2582 a(\)) p Fl(b) p Fi 3176 2597
a(l) p Fm 3198 2597 a(1) p Fp 0 2783 a(with) p Fl 222
2783 a(V) p Fi 279 2798 a(am) p Fp 411 2783 a(=) p Fl
514 2783 a(V) p Fi 571 2798 a(am) p Fp 675 2783 a(\() p
Fl(\022) p Fi 758 2798 a(m) p Fp 825 2783 a(\)) p Fl(;) p
939 2783 a(\022) p Fi 984 2798 a(m) p Fp 1079 2783 a(=) 1200
2757 y(^) p Fl 1183 2783 a(d) p Fi 1234 2798 a(j) t(m) p
Fp 1332 2783 a(.) p 1403 2783 a(Then) p 1657 2783 a(w) m(e) p
1801 2783 a(ha) m(v) m(e) p Fk 840 2984 a(k) p Fl(P) p
Fi 953 2999 a(l) p Fk 978 2984 a(k) p Fp 1056 2984 a(=) p
Fl 1159 2984 a(O) p Fp 1237 2984 a(\() p Fl(d) p Fh 1326
2943 a(\000) p Fi(\027) t(=) p Fm(2) p Fp 1494 2984 a(\)) p
1554 2984 a(+) p Fl 1652 2984 a(o) p Fp(\(1\)) p Fk(k) p
Fl(P) p Fi 1937 2999 a(m) p Fk 2003 2984 a(k) p Fp 2075
2984 a(+) p Fl 2173 2984 a(O) p Fp 2251 2984 a(\() p
Fl(d) p Fh 2340 2943 a(\000) p Fi(L) p Fp 2446 2984 a(\)) p
Fk(k) p Fl(Q) p Fi 2611 2999 a(\027) p Fk 2654 2984 a(k) p
Fp 3294 2984 a(\(5.15\)) 0 3185 y(b) m(y) p 142 3185
a(the) p 317 3185 a(same) p 568 3185 a(argumen) m(t) p
1010 3185 a(as) p 1137 3185 a(used) p 1366 3185 a(to) p
1492 3185 a(pro) m(v) m(e) p 1761 3185 a(\(5.13\).) p
2100 3185 a(This,) p 2358 3185 a(together) p 2750 3185
a(with) p 2979 3185 a(\(5.10\),) p 3294 3185 a(\(5.13\)) 0
3305 y(and) p 190 3305 a(\(5.14\),) p 498 3305 a(forms) p
767 3305 a(a) p 848 3305 a(closed) p 1136 3305 a(system) p
1459 3305 a(of) p 1570 3305 a(inequalities) p 2083 3305
a(on) p Fl 2218 3305 a(Q) p Fi 2295 3320 a(\027) p Fl
2339 3305 a(;) p 2415 3305 a(P) p Fi 2478 3320 a(m) p
Fl 2544 3305 a(;) p 2620 3305 a(R) p Fi 2694 3320 a(m) p
Fp 2794 3305 a(and) p Fl 2983 3305 a(P) p Fi 3046 3320
a(l) p Fp 3072 3305 a(.) p 3142 3305 a(Hence) p 3432
3305 a(w) m(e) 0 3426 y(can) p 175 3426 a(obtain) p Fk
474 3426 a(k) p Fl(Q) p Fi 601 3441 a(\027) p Fk 644
3426 a(k) p Fp 722 3426 a(=) p Fl 825 3426 a(O) p Fp
903 3426 a(\() p Fl(d) p Fh 992 3390 a(\000) p Fi(\027) p
Fp 1089 3426 a(\).) p 1196 3426 a(This) p 1415 3426 a(pro) m(v) m(es) p
1712 3426 a(\(4.3\).) p 1981 3426 a(W) p 2073 3426 a(e) p
2145 3426 a(can) p 2320 3426 a(also) p 2511 3426 a(obtain) p
Fk 2811 3426 a(k) p Fl(P) p Fi 2924 3441 a(m) p Fk 2990
3426 a(k) p Fp 3067 3426 a(=) p Fl 3171 3426 a(O) p Fp
3249 3426 a(\() p Fl(d) p Fh 3338 3390 a(\000) p Fi(\027) t(=) p
Fm(2) p Fp 3505 3426 a(\)) 0 3546 y(sim) m(ultaneously) p
619 3546 a(.) p 692 3546 a(T) p 754 3546 a(o) p 836 3546
a(pro) m(v) m(e) p 1099 3546 a(\(4.4\),) p 1359 3546
a(w) m(e) p 1502 3546 a(represen) m(t) p Fl 1923 3546
a(P) p Fi 1986 3561 a(j) p Fp 2055 3546 a(as) p Fl 290
3747 a(P) p Fi 353 3762 a(j) p Fp 417 3747 a(=) p Fl
520 3747 a(r) p Fi 564 3762 a(\027) p Fl 608 3747 a( ) p
Fi 671 3762 a(m) p Fl 738 3747 a(R) p Fp 813 3747 a(\() p
Fl(E) p Fp 951 3747 a(+) p Fl 1049 3747 a(i) p Fp(0;) p
Fl 1175 3747 a(K) p Fi 1258 3762 a(am) p Fp 1362 3747
a(\)) p Fl(b) p Fi 1441 3762 a(j) p Fm 1474 3762 a(1) p
Fp 1535 3747 a(+) p Fl 1633 3747 a(r) p Fi 1677 3762
a(\027) p Fl 1720 3747 a(R) p Fp 1795 3747 a(\() p Fl(E) p
Fp 1933 3747 a(+) p Fl 2031 3747 a(i) p Fp(0;) p Fl 2157
3747 a(H) p Fi 2238 3762 a(a) p Fp 2279 3747 a(\)) p
Fl(V) p Fi 2374 3762 a(am) p Fl 2478 3747 a(R) p Fp 2553
3747 a(\() p Fl(E) p Fp 2692 3747 a(+) p Fl 2790 3747
a(i) p Fp(0;) p Fl 2916 3747 a(K) p Fi 2999 3762 a(am) p
Fp 3102 3747 a(\)) p Fl(b) p Fi 3181 3762 a(j) p Fm 3214
3762 a(1) p Fp 0 3948 a(for) p Fl 149 3948 a(j) p Fk
223 3948 a(6) p Fp(=) p Fl 326 3948 a(m) p Fp(.) p 482
3948 a(Then) p 737 3948 a(w) m(e) p 880 3948 a(can) p
1059 3948 a(sho) m(w) p Fk 834 4149 a(k) p Fl(P) p Fi
947 4164 a(j) p Fk 984 4149 a(k) p Fp 1061 4149 a(=) p
Fl 1165 4149 a(O) p Fp 1243 4149 a(\() p Fl(d) p Fh 1332
4108 a(\000) p Fi(\027) t(=) p Fm(2) p Fp 1499 4149 a(\)) p
1559 4149 a(+) p Fl 1657 4149 a(o) p Fp(\(1\)) p Fk(k) p
Fl(P) p Fi 1942 4164 a(m) p Fk 2008 4149 a(k) p Fp 2080
4149 a(+) p Fl 2178 4149 a(O) p Fp 2256 4149 a(\() p
Fl(d) p Fh 2345 4108 a(\000) p Fi(L) p Fp 2451 4149 a(\)) p
Fk(k) p Fl(Q) p Fi 2616 4164 a(\027) p Fk 2659 4149 a(k) p
Fp 0 4350 a(again) p 260 4350 a(in) p 374 4350 a(the) p
542 4350 a(same) p 787 4350 a(w) m(a) m(y) p 985 4350
a(as) p 1104 4350 a(used) p 1327 4350 a(to) p 1446 4350
a(pro) m(v) m(e) p 1709 4350 a(\(5.13\).) p 2029 4350
a(Hence) p Fk 2319 4350 a(k) p Fl(P) p Fi 2432 4365 a(j) p
Fk 2469 4350 a(k) p Fp 2546 4350 a(=) p Fl 2650 4350
a(O) p Fp 2728 4350 a(\() p Fl(d) p Fh 2817 4314 a(\000) p
Fi(\027) t(=) p Fm(2) p Fp 2984 4350 a(\)) p 3055 4350
a(and) p 3245 4350 a(\(4.4\)) p 3478 4350 a(is) 0 4471
y(pro) m(v) m(ed.) 146 4635 y(\(4\)) p 307 4635 a(Let) p
Fl 486 4635 a(m) p Fp 608 4635 a(and) p Fl 802 4635 a(l) r(;) p
913 4635 a(m) p Fk 1033 4635 a(6) p Fp(=) p Fl 1143 4635
a(l) p Fp 1174 4635 a(,) p 1239 4635 a(b) s(e) p 1375
4635 a(as) p 1499 4635 a(ab) s(o) m(v) m(e.) p 1825 4635
a(Both) p Fl 2072 4635 a(m) p Fp 2193 4635 a(and) p Fl
2387 4635 a(l) p Fp 2455 4635 a(are) p 2621 4635 a(in) p
Fl 2739 4635 a(a) p Fp(.) p 2872 4635 a(The) p 3077 4635
a(aim) p 3271 4635 a(of) p 3386 4635 a(this) 0 4756 y(step) p
206 4756 a(is) p 305 4756 a(to) p 424 4756 a(pro) m(v) m(e) p
687 4756 a(that) p Fk 907 4957 a(k) p Fl(F) p Fm 1020
4972 a(1) p Fk 1059 4957 a(k) p Fp 1137 4957 a(=) p Fk
1240 4957 a(k) p Fl(b) p Fi 1331 4972 a(m) p Fm(1) p
Fl 1433 4957 a(R) p Fp 1508 4957 a(\() p Fl(E) p Fp 1647
4957 a(+) p Fl 1745 4957 a(i) p Fp(0;) p Fl 1871 4957
a(H) p Fi 1952 4972 a(a) p Fp 1993 4957 a(\)) 2027 4930
y(~) p Fl 2031 4957 a(b) p Fi 2072 4972 a(m) p Fm(1) p
Fk 2174 4957 a(k) p Fp 2252 4957 a(=) p Fl 2355 4957
a(O) p Fp 2433 4957 a(\() p Fl(d) p Fi 2522 4916 a(c\033) p
Fp 2598 4957 a(\)) p 3294 4957 a(\(5.16\)) 0 5158 y(for) p
Fl 149 5158 a(c) p Fp 219 5158 a(=) p Fl 322 5158 a(c) p
Fi 364 5173 a(n) p Fh(\000) p Fm(1) p Fp 501 5158 a(.) p
572 5158 a(T) p 634 5158 a(o) p 715 5158 a(pro) m(v) m(e) p
978 5158 a(this,) p 1196 5158 a(w) m(e) p 1339 5158 a(set) p
Fl 1491 5158 a(F) p Fm 1554 5173 a(2) p Fp 1622 5158
a(=) p Fl 1725 5158 a(b) p Fi 1766 5173 a(m) p Fm(1) p
Fl 1869 5158 a(R) p Fp 1944 5158 a(\() p Fl(E) p Fp 2082
5158 a(+) p Fl 2180 5158 a(i) p Fp(0;) p Fl 2306 5158
a(H) p Fi 2387 5173 a(a) p Fp 2428 5158 a(\)) t(~) p
Fl 2466 5158 a(s) p Fi 2512 5173 a(l) p Fm 2534 5173
a(1) p Fp 2573 5158 a(.) p 2644 5158 a(Then) p Fl 183
5359 a(F) p Fm 246 5374 a(1) p Fp 368 5359 a(=) p Fl
527 5359 a(b) p Fi 568 5374 a(m) p Fm(1) p Fl 671 5359
a( ) p Fi 734 5374 a(l) p Fl 760 5359 a(R) p Fp 835 5359
a(\() p Fl(E) p Fp 973 5359 a(+) p Fl 1071 5359 a(i) p
Fp(0;) p Fl 1197 5359 a(K) p Fi 1280 5374 a(al) p Fp
1343 5359 a(\)) 1377 5332 y(~) p Fl 1381 5359 a(b) p
Fi 1422 5374 a(m) p Fm(1) p Fp 1547 5359 a(+) p Fl 1645
5359 a(b) p Fi 1686 5374 a(m) p Fm(1) p Fl 1788 5359
a(R) p Fp 1863 5359 a(\() p Fl(E) p Fp 2001 5359 a(+) p
Fl 2099 5359 a(i) p Fp(0;) p Fl 2225 5359 a(H) p Fi 2306
5374 a(a) p Fp 2348 5359 a(\)) p Fl(V) p Fi 2443 5374
a(al) p Fl 2506 5359 a(R) p Fp 2581 5359 a(\() p Fl(E) p
Fp 2719 5359 a(+) p Fl 2817 5359 a(i) p Fp(0;) p Fl 2943
5359 a(K) p Fi 3026 5374 a(al) p Fp 3089 5359 a(\)) 3123
5332 y(~) p Fl 3127 5359 a(b) p Fi 3168 5374 a(m) p Fm(1) p
Fl 3271 5359 a(;) 183 5504 y(F) p Fm 246 5519 a(2) p
Fp 368 5504 a(=) p Fl 527 5504 a(b) p Fi 568 5519 a(m) p
Fm(1) p Fl 671 5504 a( ) p Fi 734 5519 a(m) p Fl 800
5504 a(R) p Fp 875 5504 a(\() p Fl(E) p Fp 1014 5504
a(+) p Fl 1112 5504 a(i) p Fp(0;) p Fl 1238 5504 a(K) p
Fi 1321 5519 a(am) p Fp 1425 5504 a(\)) t(~) p Fl 1463
5504 a(s) p Fi 1509 5519 a(l) p Fm 1531 5519 a(1) p Fp
1592 5504 a(+) p Fl 1690 5504 a(b) p Fi 1731 5519 a(m) p
Fm(1) p Fl 1833 5504 a(R) p Fp 1908 5504 a(\() p Fl(E) p
Fp 2046 5504 a(+) p Fl 2144 5504 a(i) p Fp(0;) p Fl 2270
5504 a(H) p Fi 2351 5519 a(a) p Fp 2393 5504 a(\)) p
Fl(V) p Fi 2488 5519 a(am) p Fl 2591 5504 a(R) p Fp 2666
5504 a(\() p Fl(E) p Fp 2805 5504 a(+) p Fl 2903 5504
a(i) p Fp(0;) p Fl 3029 5504 a(K) p Fi 3112 5519 a(am) p
Fp 3215 5504 a(\)) t(~) p Fl 3253 5504 a(s) p Fi 3299
5519 a(l) p Fm 3321 5519 a(1) p Fp 1723 5753 a(28) p
90 rotate dyy eop
%%Page: 29 29
29 28 bop Fp 0 407 a(b) m(y) p 132 407 a(Lemma) p 478
407 a(3.1.) p 672 407 a(W) p 764 407 a(e) p 837 407 a(decomp) s(ose) p
Fl 1325 407 a(V) p Fi 1382 422 a(al) p Fp 1474 407 a(as) p
1591 407 a(in) p 1702 407 a(\(3.14\)) p 1981 407 a(and) p
Fl 2167 407 a(V) p Fi 2224 422 a(am) p Fp 2358 407 a(as) p
2474 407 a(in) p 2585 407 a(\(3.25\).) p 2904 407 a(In) p
3023 407 a(the) p 3188 407 a(previous) 0 527 y(step,) p
232 527 a(w) m(e) p 374 527 a(ha) m(v) m(e) p 597 527
a(already) p 939 527 a(pro) m(v) m(ed) p 1255 527 a(\(4.4\)) p
1486 527 a(for) p Fl 1633 527 a(H) p Fi 1714 542 a(a) p
Fp 1756 527 a(,) p 1814 527 a(and) p 2002 527 a(hence) p
Fl 2271 527 a(H) p Fi 2352 542 a(a) p Fp 2424 527 a(satis\014es) p
2782 527 a(the) p 2948 527 a(assumption) p 3462 527 a(in) 0
648 y(Lemma) p 348 648 a(4.2.) p 543 648 a(If) p 641
648 a(w) m(e) p 784 648 a(use) p 953 648 a(inductiv) m(e) p
1376 648 a(assumptions) p 1930 648 a(for) p Fl 2079 648
a(K) p Fi 2162 663 a(am) p Fp 2299 648 a(and) p Fl 2488
648 a(K) p Fi 2571 663 a(al) p Fp 2635 648 a(,) p 2694
648 a(then) p 2917 648 a(w) m(e) p 3060 648 a(ha) m(v) m(e) p
Fk 159 868 a(k) p Fl(F) p Fm 272 883 a(1) p Fk 312 868
a(k) p Fp 389 868 a(=) p Fl 493 868 a(O) p Fp 571 868
a(\() p Fl(d) p Fi 660 826 a(c\033) p Fp 736 868 a(\)) p
796 868 a(+) p Fl 894 868 a(O) p Fp 972 868 a(\() p Fl(d) p
Fh 1061 826 a(\000) p Fm(1) p Fi(=) p Fm(4+) p Fi(c\033) p
Fp 1353 868 a(\)) p Fk(k) p Fl(F) p Fm 1504 883 a(2) p
Fk 1543 868 a(k) p Fl(;) p Fk 1734 868 a(k) p Fl(F) p
Fm 1847 883 a(2) p Fk 1887 868 a(k) p Fp 1964 868 a(=) p
Fl 2068 868 a(O) p Fp 2146 868 a(\() p Fl(d) p Fh 2235
826 a(\000) p Fm(1) p Fi(=) p Fm(4+) p Fi(c\033) p Fp
2527 868 a(\)) p 2587 868 a(+) p Fl 2685 868 a(O) p Fp
2763 868 a(\() p Fl(d) p Fh 2852 826 a(\000) p Fm(1) p
Fi(=) p Fm(4+) p Fi(c\033) p Fp 3144 868 a(\)) p Fk(k) p
Fl(F) p Fm 3295 883 a(1) p Fk 3334 868 a(k) p Fp 0 1088
a(for) p Fl 149 1088 a(c) p Fp 219 1088 a(=) p Fl 322
1088 a(c) p Fi 364 1103 a(n) p Fh(\000) p Fm(1) p Fp
501 1088 a(.) p 572 1088 a(This) p 795 1088 a(implies) p
1126 1088 a(\(5.16\).) 146 1258 y(\(5\)) p 310 1258 a(W) p
402 1258 a(e) p 484 1258 a(pro) s(ceed) p 851 1258 a(to) p
977 1258 a(pro) m(ving) p 1335 1258 a(\(4.5\),) p 1602
1258 a(\(4.6\)) p 1841 1258 a(and) p 2037 1258 a(\(4.7\).) p
2327 1258 a(Once) p 2583 1258 a(\(5.16\)) p 2871 1258
a(has) p 3051 1258 a(b) s(een) p 3288 1258 a(estab-) 0
1378 y(lished,) p 302 1378 a(\(4.5\)) p 532 1378 a(is) p
627 1378 a(pro) m(v) m(ed) p 942 1378 a(in) p 1053 1378
a(almost) p 1365 1378 a(the) p 1530 1378 a(same) p 1772
1378 a(w) m(a) m(y) p 1967 1378 a(as) p 2084 1378 a(in) p
2195 1378 a(the) p 2360 1378 a(case) p Fk 2564 1378 a(j) p
Fl(a) p Fk(j) p Fp 2698 1378 a(=) p 2802 1378 a(1.) p
2920 1378 a(W) p 3012 1378 a(e) p 3085 1378 a(giv) m(e) p
3283 1378 a(only) p 3495 1378 a(a) 0 1499 y(sk) m(etc) m(h.) p
333 1499 a(W) p 425 1499 a(e) p 500 1499 a(set) p Fl
651 1499 a(A) p Fi 724 1514 a(j) t(k) p Fp 827 1499 a(=) p
Fl 930 1499 a(b) p Fi 971 1514 a(j) p Fm 1004 1514 a(1) p
Fl 1043 1499 a(R) p Fp 1118 1499 a(\() p Fl(E) p Fp 1254
1499 a(+) p Fl 1349 1499 a(i) p Fp(0;) p Fl 1475 1499
a(H) p Fi 1556 1514 a(a) p Fp 1597 1499 a(\)) p Fl(b) p
Fi 1676 1514 a(k) p Fm 1715 1514 a(1) p Fp 1755 1499
a(.) p 1824 1499 a(W) p 1916 1499 a(e) p 1991 1499 a(\014rst) p
2191 1499 a(deal) p 2395 1499 a(with) p 2616 1499 a(the) p
2783 1499 a(case) p 2988 1499 a(that) p Fl 3198 1499
a(j) p Fp 3275 1499 a(or) p Fl 3393 1499 a(k) p Fp 3478
1499 a(is) 0 1619 y(in) p Fl 112 1619 a(a) p Fp(.) p
234 1619 a(Assume) p 594 1619 a(for) p 742 1619 a(brevit) m(y) p
1074 1619 a(that) p Fl 1284 1619 a(k) p Fk 1365 1619
a(2) p Fl 1459 1619 a(a) p Fp(.) p 1581 1619 a(Then) p
1834 1619 a(w) m(e) p 1976 1619 a(tak) m(e) p Fl 2186
1619 a(m) p Fk 2299 1619 a(2) p Fl 2393 1619 a(a) p Fp
2476 1619 a(as) p 2594 1619 a(b) s(efore) p 2886 1619
a(for) p Fl 3033 1619 a(j) p Fp 3079 1619 a(.) p 3149
1619 a(If) p Fl 3246 1619 a(k) p Fp 3327 1619 a(=) p
Fl 3431 1619 a(m) p Fp(,) 0 1739 y(w) m(e) p 144 1739
a(ha) m(v) m(e) p Fl 195 1959 a(A) p Fh 268 1918 a(\003) p
Fi 268 1984 a(j) t(m) p Fp 395 1959 a(=) p Fl 498 1959
a(b) p Fi 539 1974 a(m) p Fm(1) p Fl 641 1959 a( ) p
Fi 704 1974 a(m) p Fl 771 1959 a(R) p Fp 846 1959 a(\() p
Fl(E) p Fk 985 1959 a(\000) p Fl 1084 1959 a(i) p Fp(0;) p
Fl 1210 1959 a(K) p Fi 1293 1974 a(am) p Fp 1397 1959
a(\)) p Fl(b) p Fi 1476 1974 a(j) p Fm 1509 1974 a(1) p
Fp 1570 1959 a(+) p Fl 1668 1959 a(b) p Fi 1709 1974
a(m) p Fm(1) p Fl 1812 1959 a(R) p Fp 1887 1959 a(\() p
Fl(E) p Fk 2025 1959 a(\000) p Fl 2125 1959 a(i) p Fp(0;) p
Fl 2251 1959 a(H) p Fi 2332 1974 a(a) p Fp 2373 1959
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Fp 2647 1959 a(\() p Fl(E) p Fk 2785 1959 a(\000) p Fl
2884 1959 a(i) p Fp(0;) p Fl 3010 1959 a(K) p Fi 3093
1974 a(am) p Fp 3197 1959 a(\)) p Fl(b) p Fi 3276 1974
a(j) p Fm 3309 1974 a(1) p Fp 0 2200 a(for) p Fl 159
2200 a(V) p Fi 216 2215 a(am) p Fp 364 2200 a(=) p Fl
484 2200 a(V) p Fi 541 2215 a(am) p Fp 645 2200 a(\() p
Fl(\022) p Fp 731 2200 a(\)) p 811 2200 a(with) p Fl
1043 2200 a(\022) p Fp 1136 2200 a(=) p Fl 1256 2200
a(\022) p Fi 1301 2215 a(m) p Fp 1412 2200 a(=) 1549
2174 y(^) p Fl 1532 2200 a(d) p Fi 1583 2215 a(j) t(m) p
Fp 1682 2200 a(.) p 1782 2200 a(W) p 1874 2200 a(e) p
1959 2200 a(decomp) s(ose) p Fl 2460 2200 a(V) p Fi 2517
2215 a(am) p Fp 2663 2200 a(as) p 2793 2200 a(in) p 2916
2200 a(\(3.25\)) p 3208 2200 a(and) p 3407 2200 a(use) 0
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798 2321 a(it) p 896 2321 a(follo) m(ws) p 1216 2321
a(from) p 1446 2321 a(\(5.16\)) p 1728 2321 a(that) p
Fk 1412 2541 a(k) p Fl(A) p Fi 1535 2556 a(j) t(m) p
Fk 1634 2541 a(k) p Fp 1711 2541 a(=) p Fl 1815 2541
a(O) p Fp 1893 2541 a(\() p Fl(d) p Fm 1982 2500 a(2) p
Fi(c\033) p Fp 2093 2541 a(\)) p 3294 2541 a(\(5.17\)) 0
2761 y(for) p Fl 149 2761 a(c) p Fp 219 2761 a(=) p Fl
322 2761 a(c) p Fi 364 2776 a(n) p Fh(\000) p Fm(1) p
Fp 501 2761 a(.) p 572 2761 a(If) p Fl 669 2761 a(k) p
Fk 751 2761 a(6) p Fp(=) p Fl 855 2761 a(m) p Fp(,) p
1000 2761 a(a) p 1081 2761 a(similar) p 1401 2761 a(argumen) m(t) p
1837 2761 a(applies) p 2163 2761 a(to) p Fl 220 2981
a(A) p Fi 293 2996 a(j) t(k) p Fp 395 2981 a(=) p Fl
499 2981 a(b) p Fi 540 2996 a(j) p Fm 573 2996 a(1) p
Fl 612 2981 a( ) p Fi 675 2996 a(m) p Fl 742 2981 a(R) p
Fp 817 2981 a(\() p Fl(E) p Fp 955 2981 a(+) p Fl 1053
2981 a(i) p Fp(0;) p Fl 1179 2981 a(K) p Fi 1262 2996
a(am) p Fp 1366 2981 a(\)) p Fl(b) p Fi 1445 2996 a(k) p
Fm 1484 2996 a(1) p Fp 1546 2981 a(+) p Fl 1644 2981
a(b) p Fi 1685 2996 a(j) p Fm 1718 2996 a(1) p Fl 1757
2981 a(R) p Fp 1832 2981 a(\() p Fl(E) p Fp 1970 2981
a(+) p Fl 2068 2981 a(i) p Fp(0;) p Fl 2194 2981 a(H) p
Fi 2275 2996 a(a) p Fp 2316 2981 a(\)) p Fl(V) p Fi 2411
2996 a(am) p Fl 2515 2981 a(R) p Fp 2590 2981 a(\() p
Fl(E) p Fp 2728 2981 a(+) p Fl 2826 2981 a(i) p Fp(0;) p
Fl 2952 2981 a(K) p Fi 3035 2996 a(am) p Fp 3139 2981
a(\)) p Fl(b) p Fi 3218 2996 a(k) p Fm 3257 2996 a(1) p
Fl 3297 2981 a(:) p Fp 0 3201 a(W) p 92 3201 a(e) p 168
3201 a(use) p 337 3201 a(\(5.17\)) p 618 3201 a(and) p
808 3201 a(the) p 976 3201 a(inductiv) m(e) p 1399 3201
a(assumption) p 1915 3201 a(for) p Fl 2064 3201 a(K) p
Fi 2147 3216 a(am) p Fp 2283 3201 a(to) p 2402 3201 a(obtain) p
Fk 1410 3421 a(k) p Fl(A) p Fi 1533 3436 a(j) t(k) p
Fk 1608 3421 a(k) p Fp 1686 3421 a(=) p Fl 1789 3421
a(O) p Fp 1867 3421 a(\() p Fl(d) p Fm 1956 3380 a(3) p
Fi(c\033) p Fp 2068 3421 a(\)) p Fl(:) p Fp 3294 3421
a(\(5.18\)) 0 3641 y(This) p 230 3641 a(is) p 335 3641
a(true) p 549 3641 a(ev) m(en) p 778 3641 a(for) p Fl
934 3641 a(j) p Fp 1020 3641 a(=) p Fl 1136 3641 a(k) p
Fk 1230 3641 a(2) p Fl 1337 3641 a(a) p Fp(.) p 1480
3641 a(If) p 1585 3641 a(neither) p Fl 1923 3641 a(j) p
Fp 2009 3641 a(nor) p Fl 2189 3641 a(k) p Fp 2283 3641
a(is) p 2389 3641 a(in) p Fl 2510 3641 a(a) p Fp(,) p
2629 3641 a(then) p 2859 3641 a(the) p 3034 3641 a(argumen) m(t) p
3478 3641 a(is) 0 3761 y(divided) p 343 3761 a(in) m(to) p
540 3761 a(t) m(w) m(o) p 723 3761 a(cases) p 967 3761
a(:) p 1037 3761 a(\(a\)) p Fl 1193 3761 a(d) p Fi 1244
3776 a(j) p Fl 1280 3761 a(;) p 1355 3761 a(d) p Fi 1406
3776 a(k) p Fp 1480 3761 a(and) p Fl 1669 3761 a(d) p
Fi 1720 3776 a(l) p Fl 1745 3761 a(;) p 1820 3761 a(l) p
Fk 1879 3761 a(2) p Fl 1974 3761 a(a) p Fp(,) p 2083
3761 a(are) p 2245 3761 a(all) p 2379 3761 a(on) p 2514
3761 a(an) p 2648 3761 a(ev) m(en) p 2869 3761 a(segmen) m(t) p
3245 3761 a(with) p Fl 3467 3761 a(d) p Fi 3518 3776
a(l) p Fp 0 3881 a(as) p 113 3881 a(in) m(terior) p 451
3881 a(p) s(oin) m(ts) p 737 3881 a(;) p 793 3881 a(\(b\)) p
949 3881 a(otherwise.) p 1419 3881 a(W) p 1511 3881 a(e) p
1580 3881 a(tak) m(e) p Fl 1785 3881 a(m) p Fk 1898 3881
a(2) p Fl 1992 3881 a(a) p Fp 2069 3881 a(and) p Fl 2252
3881 a(\022) p Fp 2326 3881 a(as) p 2440 3881 a(in) p
2547 3881 a(the) p 2708 3881 a(case) p Fk 2908 3881 a(j) p
Fl(a) p Fk(j) p Fp 3042 3881 a(=) p 3146 3881 a(1,) p
3249 3881 a(and) p 3432 3881 a(w) m(e) 0 4002 y(decomp) s(ose) p
Fl 489 4002 a(V) p Fi 546 4017 a(am) p Fp 650 4002 a(\() p
Fl(\022) p Fp 736 4002 a(\)) p 805 4002 a(as) p 924 4002
a(in) p 1036 4002 a(\(3.28\)) p 1316 4002 a(or) p 1434
4002 a(\(3.25\)) p 1714 4002 a(according) p 2151 4002
a(to) p 2269 4002 a(case) p 2474 4002 a(\(a\)) p 2629
4002 a(or) p 2747 4002 a(\(b\).) p 2947 4002 a(In) p
3067 4002 a(either) p 3342 4002 a(case,) 0 4122 y(w) m(e) p
142 4122 a(can) p 319 4122 a(sho) m(w) p Fk 559 4122
a(k) p Fl(A) p Fi 682 4137 a(j) t(k) p Fk 757 4122 a(k) p
Fp 834 4122 a(=) p Fl 938 4122 a(O) p Fp 1016 4122 a(\() p
Fl(d) p Fm 1105 4086 a(4) p Fi(c\033) p Fp 1216 4122
a(\)) p 1285 4122 a(b) m(y) p 1419 4122 a(\(5.18\).) p
1738 4122 a(Th) m(us) p 1983 4122 a(w) m(e) p 2125 4122
a(ha) m(v) m(e) p 2348 4122 a(pro) m(v) m(ed) p 2663
4122 a(\(4.5\)) p 2895 4122 a(with) p Fl 3115 4122 a(c) p
Fp 3185 4122 a(=) p 3288 4122 a(4) p Fl(c) p Fi 3379
4137 a(n) p Fh(\000) p Fm(1) p Fp 3516 4122 a(.) 0 4243
y(W) p 92 4243 a(e) p 171 4243 a(can) p 352 4243 a(also) p
550 4243 a(sho) m(w) p 794 4243 a(in) p 911 4243 a(almost) p
1228 4243 a(the) p 1399 4243 a(same) p 1646 4243 a(w) m(a) m(y) p
1846 4243 a(as) p 1969 4243 a(in) p 2085 4243 a(the) p
2256 4243 a(case) p Fk 2465 4243 a(j) p Fl(a) p Fk(j) p
Fp 2603 4243 a(=) p 2711 4243 a(1) p 2795 4243 a(that) p
3009 4243 a(\(4.5\)) p 3245 4243 a(implies) 0 4363 y(\(4.6\)) p
229 4363 a(and) p 414 4363 a(that) p 621 4363 a(\(4.6\)) p
850 4363 a(implies) p 1177 4363 a(\(4.7\).) p 1447 4363
a(W) p 1539 4363 a(e) p 1610 4363 a(skip) p 1810 4363
a(the) p 1974 4363 a(details.) p 2320 4363 a(Th) m(us) p
2563 4363 a(\(4) p Fl(:) p Fp(3\)) p Fk 2791 4363 a(\030) p
Fp 2896 4363 a(\(4) p Fl(:) p Fp(7\)) p 3125 4363 a(ha) m(v) m(e) p
3345 4363 a(b) s(een) 0 4483 y(pro) m(v) m(ed) p 317
4483 a(in) p 431 4483 a(the) p 599 4483 a(case) p Fk
805 4483 a(j) p Fl(a) p Fk(j) p Fp 940 4483 a(=) p Fl
1043 4483 a(n) p Fp 1134 4483 a(and) p 1324 4483 a(the) p
1492 4483 a(pro) s(of) p 1746 4483 a(is) p 1844 4483
a(no) m(w) p 2048 4483 a(complete.) p Fe 2497 4483 a(2) p
Fp 146 4654 a(W) p 238 4654 a(e) p 310 4654 a(pro) m(v) m(e) p
569 4654 a(\(5.7\),) p 826 4654 a(\(5.8\)) p 1055 4654
a(and) p 1241 4654 a(\(5.12\)) p 1518 4654 a(whic) m(h) p
1794 4654 a(remain) p 2115 4654 a(unpro) m(v) m(ed.) p
2577 4654 a(The) p 2774 4654 a(pro) s(of) p 3025 4654
a(uses) p 3228 4654 a(Lemma) 0 4774 y(4.1.) p 229 4774
a(The) p 441 4774 a(op) s(erator) p Fl 846 4774 a(R) p
Fp 921 4774 a(\() p Fl(E) p Fp 1067 4774 a(+) p Fl 1172
4774 a(i) p Fp(0;) p Fl 1298 4774 a(H) p Fi 1379 4789
a(a) p Fp 1421 4774 a(\)) p Fl(X) p Fm 1548 4738 a(+) p
Fi 1540 4799 a(am) p Fp 1687 4774 a(is) p 1797 4774 a(appro) m(ximated)
p 2426 4774 a(b) m(y) p 2573 4774 a(\(3.19\).) p 2927
4774 a(This,) p 3191 4774 a(together) 0 4894 y(with) p
227 4894 a(Lemma) p 579 4894 a(4.1,) p 769 4894 a(implies) p
1105 4894 a(\(5.7\),) p 1371 4894 a(and) p 1565 4894
a(\(5.12\)) p 1851 4894 a(is) p 1954 4894 a(sho) m(wn) p
2254 4894 a(in) p 2372 4894 a(exactly) p 2713 4894 a(the) p
2885 4894 a(same) p 3134 4894 a(w) m(a) m(y) p 3290 4894
a(.) p 3375 4894 a(The) 0 5015 y(appro) m(ximation) p
650 5015 a(for) p Fl 799 5015 a(X) p Fh 888 4979 a(\000) p
Fi 880 5039 a(am) p Fl 984 5015 a(R) p Fp 1059 5015 a(\() p
Fl(E) p Fp 1198 5015 a(+) p Fl 1296 5015 a(i) p Fp(0;) p
Fl 1422 5015 a(K) p Fi 1505 5030 a(am) p Fp 1608 5015
a(\)) p 1679 5015 a(tak) m(es) p 1929 5015 a(the) p 2097
5015 a(form) p 2327 5015 a(\(3.22\),) p 2636 5015 a(and) p
Fk 981 5235 a(k) p Fl(r) p Fi 1075 5250 a(\027) t(=) p
Fm(2) p Fl 1189 5235 a(R) p Fp 1264 5235 a(\() p Fl(E) p
Fp 1402 5235 a(+) p Fl 1500 5235 a(i) p Fp(0;) p Fl 1626
5235 a(K) p Fi 1709 5250 a(am) p Fp 1813 5235 a(\)) p
Fl(r) p Fi 1895 5250 a(\027) t(=) p Fm(2) p Fk 2009 5235
a(k) p Fp 2086 5235 a(=) p Fl 2190 5235 a(O) p Fp 2268
5235 a(\() p Fl(d) p Fh 2357 5194 a(\000) p Fi(\027) t(=) p
Fm(2) p Fp 2524 5235 a(\)) 0 5455 y(b) m(y) p 135 5455
a(inductiv) m(e) p 558 5455 a(assumption.) p 1112 5455
a(Hence) p 1402 5455 a(\(5.8\)) p 1635 5455 a(again) p
1895 5455 a(follo) m(ws) p 2215 5455 a(from) p 2446 5455
a(Lemma) p 2794 5455 a(4.1.) 1723 5753 y(29) p 90 rotate
dyy eop
%%Page: 30 30
30 29 bop Fq 146 407 a(6.) p 271 407 a(Scattering) p
808 407 a(b) m(y) p 964 407 a(a) p 1056 407 a(c) m(hain) p
1350 407 a(of) p 1478 407 a(\014elds) p 1766 407 a(:) p
1847 407 a(Pro) s(of) p 2156 407 a(of) p 2284 407 a(Theorem) p
2759 407 a(1.2) p Fp 146 601 a(The) p 355 601 a(remaining) p
819 601 a(t) m(w) m(o) p 1012 601 a(sections) p 1385
601 a(are) p 1556 601 a(dev) m(oted) p 1928 601 a(to) p
2056 601 a(pro) m(ving) p 2417 601 a(the) p 2593 601
a(second) p 2917 601 a(main) p 3169 601 a(theorem.) 0
722 y(W) p 92 722 a(e) p 163 722 a(recall) p 418 722
a(our) p 586 722 a(situation.) p 1029 722 a(W) p 1121
722 a(e) p 1192 722 a(are) p 1349 722 a(studying) p 1742
722 a(the) p 1905 722 a(magnetic) p 2317 722 a(scattering) p
2762 722 a(b) m(y) p 2893 722 a(a) p 2969 722 a(c) m(hain) p
3221 722 a(of) p 3327 722 a(three) 0 842 y(p) s(oin) m(t{lik) m(e) p
442 842 a(\014elds) p 684 842 a(on) p 812 842 a(an) p
940 842 a(ev) m(en) p 1154 842 a(line.) p 1374 842 a(The) p
1566 842 a(three) p 1808 842 a(cen) m(ters) p 2129 842
a(are) p 2283 842 a(along) p 2536 842 a(the) p 2696 842
a(direction) p Fl 3095 842 a(!) p Fm 3156 857 a(1) p
Fp 3223 842 a(=) p 3326 842 a(\(1) p Fl(;) p Fp 3457
842 a(0\)) 0 962 y(in) p 117 962 a(the) p 289 962 a(order) p
547 962 a(of) p Fl 662 962 a(d) p Fm 713 977 a(1) p Fl
752 962 a(;) p 831 962 a(d) p Fm 882 977 a(2) p Fp 957
962 a(and) p Fl 1151 962 a(d) p Fm 1202 977 a(3) p Fp
1241 962 a(.) p 1322 962 a(If) p 1423 962 a(w) m(e) p
1570 962 a(iden) m(tify) p 1928 962 a(these) p 2182 962
a(cen) m(ters) p 2513 962 a(with) p 2739 962 a(co) s(ordinates) p
3261 962 a(\() p Fl(d) p Fi 3350 977 a(j) p Fl 3386 962
a(;) p Fp 3430 962 a(0\),) 0 1083 y(then) p Fl 225 1083
a(d) p Fm 276 1098 a(1) p Fl 347 1083 a(<) p 454 1083
a(d) p Fm 505 1098 a(2) p Fl 576 1083 a(<) p 684 1083
a(d) p Fm 735 1098 a(3) p Fp 774 1083 a(.) p 852 1083
a(W) p 944 1083 a(e) p 1022 1083 a(deriv) m(e) p 1312
1083 a(the) p 1482 1083 a(asymptotic) p 1987 1083 a(form) m(ula) p
2347 1083 a(as) p Fl 2469 1083 a(d) p Fk 2552 1083 a(!) p
2683 1083 a(1) p Fp 2818 1083 a(for) p 2969 1083 a(the) p
3140 1083 a(bac) m(kw) m(ard) 0 1203 y(scattering) p
459 1203 a(amplitude) p Fl 928 1203 a(f) p Fi 976 1218
a(d) p Fp 1059 1203 a(=) p Fl 1177 1203 a(f) p Fi 1225
1218 a(d) p Fp 1265 1203 a(\() p Fl(!) p Fm 1364 1218
a(1) p Fk 1445 1203 a(!) p 1587 1203 a(\000) p Fl(!) p
Fm 1725 1218 a(1) p Fp 1765 1203 a(;) p Fl 1809 1203
a(E) p Fp 1887 1203 a(\)) p 1965 1203 a(only) p 2138
1203 a(.) p 2235 1203 a(A) p 2349 1203 a(similar) p 2678
1203 a(argumen) m(t) p 3122 1203 a(applies) p 3457 1203
a(to) p Fl 0 1324 a(f) p Fi 48 1339 a(d) p Fp 89 1324
a(\() p Fl(!) p Fm 188 1339 a(1) p Fk 259 1324 a(!) p
Fp 400 1324 a(~) p Fl 392 1324 a(!) p Fp 456 1324 a(;) p
Fl 500 1324 a(E) p Fp 578 1324 a(\)) p 651 1324 a(with) p
884 1324 a(~) p Fl 877 1324 a(!) p Fk 974 1324 a(6) p
Fp(=) p Fk 1082 1324 a(\000) p Fl(!) p Fm 1220 1339 a(1) p
Fp 1260 1324 a(,) p 1323 1324 a(and) p 1516 1324 a(the) p
1687 1324 a(deriv) p 1895 1324 a(ation) p 2148 1324 a(is) p
2249 1324 a(easier.) p 2568 1324 a(F) p 2624 1324 a(or) p
2745 1324 a(brevit) m(y) p 3036 1324 a(,) p 3101 1324
a(w) m(e) p 3248 1324 a(further) 0 1444 y(assume) p 344
1444 a(that) p 562 1444 a(the) p 737 1444 a(three) p
993 1444 a(cen) m(ters) p 1329 1444 a(are) p 1498 1444
a(at) p 1624 1444 a(ev) m(en) p 1854 1444 a(in) m(terv) p
2097 1444 a(als,) p 2280 1444 a(so) p 2407 1444 a(that) p
Fk 2625 1444 a(j) p Fl(d) p Fm 2704 1459 a(12) p Fk 2778
1444 a(j) p Fp 2845 1444 a(=) p Fk 2960 1444 a(j) p Fl(d) p
Fm 3039 1459 a(23) p Fk 3114 1444 a(j) p Fp 3181 1444
a(=) p Fl 3296 1444 a(d) p Fp 3386 1444 a(and) p Fl 0
1564 a(\016) p Fm 43 1579 a(0) p Fp 110 1564 a(=) p 214
1564 a(1) p 295 1564 a(in) p 409 1564 a(\(1.9\).) 146
1722 y(Throughout) p 697 1722 a(the) p 874 1722 a(pro) s(of,) p
1167 1722 a(w) m(e) p 1320 1722 a(use) p 1498 1722 a(the) p
1675 1722 a(notation) p Fl 2074 1722 a(f) p Fk 2176 1722
a(\030) p Fl 2296 1722 a(g) p Fp 2388 1722 a(to) p 2516
1722 a(denote) p Fl 2840 1722 a(f) p Fp 2941 1722 a(=) p
Fl 3060 1722 a(g) p Fp 3139 1722 a(+) p Fl 3243 1722
a(o) p Fp(\(1\)) p 3456 1722 a(as) p Fl 0 1842 a(d) p
Fk 102 1842 a(!) p 252 1842 a(1) p Fp(.) p 463 1842 a(W) p
555 1842 a(e) p 644 1842 a(follo) m(w) p 940 1842 a(almost) p
1268 1842 a(the) p 1450 1842 a(same) p 1708 1842 a(argumen) m(t) p
2158 1842 a(as) p 2291 1842 a(in) p 2419 1842 a(the) p
2600 1842 a(pro) s(of) p 2868 1842 a(of) p 2993 1842
a(Theorem) p 3419 1842 a(1.1) 0 1963 y(to) p 127 1963
a(represen) m(t) p 556 1963 a(the) p 732 1963 a(amplitude) p
1200 1963 a(under) p 1485 1963 a(consideration.) p 2143
1963 a(Let) p Fl 2326 1963 a(e) p Fm 2371 1978 a(0) p
Fp 2411 1963 a(\() p Fl(x) p Fp(\)) p Fk 2583 1963 a(2) p
Fl 2691 1963 a(C) p Fh 2768 1926 a(1) p Fp 2843 1963
a(\() p Fn(R) p Fm 2968 1920 a(2) p Fp 3007 1963 a(\)) p
3086 1963 a(b) s(e) p 3226 1963 a(again) p 3495 1963
a(a) 0 2083 y(smo) s(oth) p 347 2083 a(function) p 731
2083 a(suc) m(h) p 953 2083 a(that) p 1166 2083 a(supp) p
Fl 1384 2083 a(e) p Fm 1429 2098 a(0) p Fk 1499 2083
a(\032) p Fp 1608 2083 a(\006\() p Fl(d) p Fi 1767 2047
a(\033) p Fl 1814 2083 a(;) p 1858 2083 a(!) p Fm 1919
2098 a(1) p Fl 1958 2083 a(;) p 2002 2083 a(\016) p Fp
2049 2083 a(\)) p 2121 2083 a(and) p Fl 2312 2083 a(e) p
Fm 2357 2098 a(0) p Fp 2428 2083 a(=) p 2535 2083 a(1) p
2618 2083 a(on) p 2756 2083 a(\006\(2) p Fl(d) p Fi 2964
2047 a(\033) p Fl 3010 2083 a(;) p 3054 2083 a(!) p Fm
3115 2098 a(1) p Fl 3154 2083 a(;) p Fp 3198 2083 a(2) p
Fl(\016) p Fp 3294 2083 a(\).) p 3408 2083 a(W) p 3500
2083 a(e) 0 2203 y(set) p Fl 152 2203 a(e) p Fi 197 2218
a(j) p Fp 234 2203 a(\() p Fl(x) p Fp(\)) p 393 2203
a(=) p Fl 497 2203 a(e) p Fm 542 2218 a(0) p Fp 581 2203
a(\() p Fl(x) p Fk 697 2203 a(\000) p Fl 796 2203 a(d) p
Fi 847 2218 a(j) p Fp 884 2203 a(\)) p Fl(;) p Fp 998
2203 a(1) p Fk 1074 2203 a(\024) p Fl 1179 2203 a(j) p
Fk 1253 2203 a(\024) p Fp 1358 2203 a(3,) p 1466 2203
a(and) p 1656 2203 a(de\014ne) p Fl 1938 2203 a(\022) p
Fi 1983 2218 a(d) p Fp 2024 2203 a(\() p Fl(x) p Fp(\)) p
2183 2203 a(=) p Fj 2286 2137 a(P) p Fm 2374 2163 a(3) p
Fi 2374 2228 a(j) p Fm 2407 2228 a(=1) p Fl 2517 2203
a(\013) p Fi 2579 2218 a(j) p Fl 2616 2203 a(\015) p
Fp 2672 2203 a(\() p Fl(x) p Fk 2787 2203 a(\000) p Fl
2887 2203 a(d) p Fi 2938 2218 a(j) p Fp 2974 2203 a(;) p
Fl 3018 2203 a(!) p Fm 3079 2218 a(1) p Fp 3118 2203
a(\).) p 3227 2203 a(Then) 1082 2391 y(\() p Fl(H) p
Fi 1201 2406 a(d) p Fk 1264 2391 a(\000) p Fl 1363 2391
a(E) p Fp 1441 2391 a(\)) p Fl(e) p Fi 1524 2350 a(i\022) p
Fg 1581 2362 a(d) p Fl 1622 2391 a(e) p Fm 1667 2406
a(1) p Fp 1734 2391 a(=) p Fl 1838 2391 a(e) p Fi 1883
2350 a(i\022) p Fg 1940 2362 a(d) p Fp 1980 2391 a(\() p
Fl(H) p Fm 2099 2406 a(0) p Fk 2161 2391 a(\000) p Fl
2260 2391 a(E) p Fp 2338 2391 a(\)) p Fl(e) p Fm 2421
2406 a(1) p Fp 0 2567 a(and) p 190 2567 a(w) m(e) p 333
2567 a(obtain) p Fl 510 2742 a(f) p Fi 558 2757 a(d) p
Fk 626 2742 a(\030) p Fp 732 2742 a(\() p Fl(ic) p Fp(\() p
Fl(E) p Fp 961 2742 a(\)) p Fl(=) p Fp(4) p Fl(\031) p
Fp 1156 2742 a(\)\() p Fl(R) p Fp 1307 2742 a(\() p Fl(E) p
Fp 1444 2742 a(+) p Fl 1542 2742 a(i) p Fp(0;) p Fl 1668
2742 a(H) p Fi 1749 2757 a(d) p Fp 1789 2742 a(\)) p
Fl(e) p Fi 1872 2701 a(i\022) p Fg 1929 2713 a(d) p Fp
1970 2742 a([) p Fl(H) p Fm 2078 2757 a(0) p Fl 2117
2742 a(;) p 2161 2742 a(e) p Fm 2206 2757 a(1) p Fp 2245
2742 a(]) p Fl(') p Fm 2336 2757 a(0) p Fl 2376 2742
a(;) p 2420 2742 a(e) p Fi 2465 2701 a(i\022) p Fg 2522
2713 a(d) p Fp 2562 2742 a([) p Fl(H) p Fm 2670 2757
a(0) p Fl 2709 2742 a(;) p 2753 2742 a(e) p Fm 2798 2757
a(1) p Fp 2838 2742 a(]) p 2865 2689 64 4 v Fl(') p Fm
2929 2765 a(0) p Fp 2968 2742 a(\)) p Fl(;) p Fp 3343
2742 a(\(6.1\)) 0 2917 y(where) p Fl 295 2917 a(') p
Fm 359 2932 a(0) p Fp 449 2917 a(=) p Fl 575 2917 a(') p
Fm 639 2932 a(0) p Fp 678 2917 a(\() p Fl(x) p Fp(;) p
Fl 815 2917 a(!) p Fm 876 2932 a(1) p Fl 915 2917 a(;) p
959 2917 a(E) p Fp 1037 2917 a(\)) p 1125 2917 a(=) p
1251 2917 a(exp) q(\() p Fl(i) p Fk 1471 2833 a(p) p
1554 2833 79 4 v Fl 1554 2917 a(E) p 1633 2917 a(x) p
Fm 1688 2932 a(1) p Fp 1727 2917 a(\)) p 1811 2917 a(\(see) p
2020 2917 a(\(2.14\)) p 2315 2917 a(and) p 2518 2917
a(\(4.8\)\).) p 2867 2917 a(W) p 2959 2917 a(e) p 3048
2917 a(in) m(tro) s(duce) p 3495 2917 a(a) 0 3038 y(partition) p
406 3038 a(of) p 518 3038 a(unit) m(y) p 772 3038 a(o) m(v) m(er) p
981 3038 a(the) p Fl 1149 3038 a(x) p Fm 1204 3053 a(2) p
Fp 1276 3038 a(axis.) p 1513 3038 a(W) p 1605 3038 a(e) p
1681 3038 a(set) p Fl 1833 3038 a(\037) p Fm 1894 3053
a(0) p Fi(j) p Fp 1966 3038 a(\() p Fl(x) p Fm 2059 3053
a(2) p Fp 2099 3038 a(\)) p 2164 3038 a(=) p Fl 2268
3038 a(\037) p Fp(\() p Fk(j) p Fl(x) p Fm 2450 3053
a(2) p Fk 2489 3038 a(j) p Fl(=) p Fp(3) p Fi 2615 3001
a(j) p Fl 2651 3038 a(d) p Fi 2702 3001 a(\033) p Fp
2749 3038 a(\)) p 2819 3038 a(and) p Fl 218 3213 a(\037) p
Fm 279 3228 a(1) p Fi(j) p Fp 351 3213 a(\() p Fl(x) p
Fm 444 3228 a(2) p Fp 484 3213 a(\)) p 549 3213 a(=) p
653 3213 a(\(1) p Fk 762 3213 a(\000) p Fl 861 3213 a(\037) p
Fm 922 3228 a(0) p Fi(j) p Fp 994 3213 a(\() p Fl(x) p
Fm 1087 3228 a(2) p Fp 1127 3213 a(\)\)) p Fl 1220 3213
a(\037) p Fp(\() p Fk(j) p Fl(x) p Fm 1402 3228 a(2) p
Fk 1441 3213 a(j) p Fl(=) p Fp(3) p Fi 1567 3172 a(j) p
Fl 1603 3213 a(d) p Fm 1654 3172 a(1) p Fi(=) p Fm(2+) p
Fi(\033) p Fp 1861 3213 a(\)) p Fl(;) p 2040 3213 a(\037) p
Fm 2101 3228 a(2) p Fi(j) p Fp 2173 3213 a(\() p Fl(x) p
Fm 2266 3228 a(2) p Fp 2306 3213 a(\)) p 2372 3213 a(=) p
2475 3213 a(1) p Fk 2546 3213 a(\000) p Fl 2646 3213
a(\037) p Fp(\() p Fk(j) p Fl(x) p Fm 2828 3228 a(2) p
Fk 2867 3213 a(j) p Fl(=) p Fp(3) p Fi 2993 3172 a(j) p
Fl 3029 3213 a(d) p Fm 3080 3172 a(1) p Fi(=) p Fm(2+) p
Fi(\033) p Fp 3287 3213 a(\)) 0 3388 y(for) p 150 3388
a(1) p Fk 228 3388 a(\024) p Fl 335 3388 a(j) p Fk 410
3388 a(\024) p Fp 517 3388 a(3,) p 626 3388 a(where) p
Fl 909 3388 a(\037) p Fk 999 3388 a(2) p Fl 1095 3388
a(C) p Fh 1172 3352 a(1) p Fm 1165 3413 a(0) p Fp 1247
3388 a([0) p Fl(;) p Fk 1367 3388 a(1) p Fp(\)) p 1537
3388 a(is) p 1636 3388 a(a) p 1719 3388 a(cut{o\013) p
2042 3388 a(function) p 2425 3388 a(with) p 2648 3388
a(prop) s(ert) m(y) p 3047 3388 a(\(2.3\).) p 3321 3388
a(Then) p Fl 0 3509 a(\037) p Fm 61 3524 a(0) p Fi(j) p
Fp 158 3509 a(+) p Fl 260 3509 a(\037) p Fm 321 3524
a(1) p Fi(j) p Fp 418 3509 a(+) p Fl 519 3509 a(\037) p
Fm 580 3524 a(2) p Fi(j) p Fp 688 3509 a(=) p 799 3509
a(1) p 885 3509 a(for) p 1039 3509 a(eac) m(h) p Fl 1263
3509 a(j) p Fp 1309 3509 a(.) p 1394 3509 a(W) p 1486
3509 a(e) p 1567 3509 a(decomp) s(ose) p 2063 3509 a(the) p
2235 3509 a(term) p 2473 3509 a(on) p 2613 3509 a(the) p
2786 3509 a(righ) m(t) p 3027 3509 a(side) p 3227 3509
a(of) p 3343 3509 a(\(6.1\)) 0 3629 y(in) m(to) p 198
3629 a(the) p 366 3629 a(sum) p 572 3629 a(of) p Fl 358
3804 a(f) p Fi 406 3819 a(l) q(m) p Fp 522 3804 a(=) p
626 3804 a(\() p Fl(ic) p Fp(\() p Fl(E) p Fp 855 3804
a(\)) p Fl(=) p Fp(4) p Fl(\031) p Fp 1050 3804 a(\)\() p
Fl(R) p Fp 1201 3804 a(\() p Fl(E) p Fp 1338 3804 a(+) p
Fl 1436 3804 a(i) p Fp(0;) p Fl 1562 3804 a(H) p Fi 1643
3819 a(d) p Fp 1683 3804 a(\)) p Fl(e) p Fi 1766 3763
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3804 a(]) p 3044 3751 64 4 v Fl(') p Fm 3108 3828 a(0) p
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2844 3980 a(e) p Fm 2889 3995 a(1) p Fp 2928 3980 a(]) p
2989 3980 a(ha) m(v) m(e) p 3215 3980 a(supp) s(ort) 0
4100 y(in) p Fk 117 4100 a(fj) p Fl(x) p Fk 274 4100
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4100 a(for) p 1029 4100 a(some) p Fl 1277 4100 a(c) p
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1690 4100 a(w) m(e) p 1836 4100 a(use) p 2008 4100 a(\(4.13\)) p
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a(00) p Fk 1435 4341 a(\030) p Fl 1540 4341 a(f) p Fm
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322 5448 a(of) p 434 5448 a(the) p 602 5448 a(follo) m(wing) p
1013 5448 a(lemma.) 1723 5753 y(30) p 90 rotate dyy eop
%%Page: 31 31
31 30 bop Fq 0 407 a(Lemma) p 397 407 a(6.1) p Fo 589
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a(j) p Fp 839 407 a(\() p Fl(x) p Fp(\)) p Fo 1004 407
a(b) p 1044 407 a(e) p 1123 407 a(the) p 1284 407 a(char) p
1465 407 a(acteristic) p 1888 407 a(function) p 2271
407 a(of) p Fl 2385 407 a(S) p Fi 2445 422 a(j) p Fo
2515 407 a(de\014ne) p 2760 407 a(d) p 2843 407 a(by) p
Fp 2969 407 a(\(1) p Fl(:) p Fp(12\)) p Fo 3253 407 a(and) p
3441 407 a(let) p Fl 0 527 a(f) p Fm 48 542 a(1) p Fp
88 527 a(\() p Fl(x) p Fp(\)) p Fo 254 527 a(b) p 294
527 a(e) p 373 527 a(de\014ne) p 618 527 a(d) p 702 527
a(by) p Fl 829 527 a(f) p Fm 877 542 a(1) p Fp 944 527
a(=) p Fl 1048 527 a(f) p Fp 1107 527 a(\() p Fl(x) p
Fp(\)) p Fk(h) p Fl(x) p Fk 1354 527 a(\000) p Fl 1454
527 a(d) p Fm 1505 542 a(1) p Fk 1544 527 a(i) p Fh 1583
491 a(\000) p Fm(1) p Fi(=) p Fm(2) p Fo 1782 527 a(with) p
1994 527 a(char) p 2175 527 a(acteristic) p 2599 527
a(function) p Fl 2983 527 a(f) p Fp 3042 527 a(\() p
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Fl 253 719 a(F) p Fp 357 719 a(=) p Fk 461 719 a(f) p
Fl(x) p Fp 594 719 a(=) p 697 719 a(\() p Fl(x) p Fm
790 734 a(1) p Fl 830 719 a(;) p 874 719 a(x) p Fm 929
734 a(2) p Fp 969 719 a(\)) p 1034 719 a(:) p Fl 1089
719 a(d) p Fi 1140 678 a(\033) p Fl 1187 719 a(=C) p
Fm 1306 734 a(1) p Fl 1372 719 a(<) p Fk 1476 719 a(j) p
Fl(x) p Fm 1559 734 a(2) p Fk 1598 719 a(j) p Fl 1654
719 a(<) p 1757 719 a(C) p Fm 1827 734 a(1) p Fl 1867
719 a(d) p Fm 1918 678 a(1) p Fi(=) p Fm(2+) p Fi(\033) p
Fl 2125 719 a(;) p 2215 719 a(\016) p 2290 719 a(<) p
Fk 2393 719 a(j) p Fj 2532 680 a(d) p Fp 2421 719 a(\() p
Fl(x) p Fk 2536 719 a(\000) p Fl 2636 719 a(d) p Fm 2687
734 a(1) p Fp 2726 719 a(\)) p Fk 2786 719 a(\000) p
Fl 2886 719 a(!) p Fm 2947 734 a(1) p Fk 2986 719 a(j) p
Fl 3041 719 a(<) p Fp 3145 719 a(2) p Fl(\016) p Fk 3241
719 a(g) p Fo 0 896 a(for) p Fl 156 896 a(C) p Fm 226
911 a(1) p Fl 293 896 a(>) p Fp 396 896 a(1) p Fo(.) p
520 896 a(Then) p 774 896 a(one) p 958 896 a(has) p Fk
339 1073 a(k) p Fl(s) p Fm 435 1088 a(1) p Fp 488 1047
a(~) p Fl 474 1073 a(\014) p Fm 529 1088 a(1) p Fl 569
1073 a(R) p Fp 644 1073 a(\() p Fl(E) p Fp 782 1073 a(+) p
Fl 880 1073 a(i) p Fp(0;) p Fl 1006 1073 a(H) p Fi 1087
1088 a(d) p Fp 1127 1073 a(\)) p Fl(\014) p Fm 1220 1088
a(1) p Fl 1259 1073 a(f) p Fm 1307 1088 a(1) p Fk 1347
1073 a(k) p Fp 1419 1073 a(+) p Fk 1517 1073 a(k) p Fl(s) p
Fm 1613 1088 a(1) p Fl 1652 1073 a(\014) p Fm 1707 1088
a(1) p Fl 1747 1073 a(R) p Fp 1822 1073 a(\() p Fl(E) p
Fk 1960 1073 a(\000) p Fl 2059 1073 a(i) p Fp(0;) p Fl
2185 1073 a(H) p Fi 2266 1088 a(d) p Fp 2306 1073 a(\)) 2358
1047 y(~) p Fl 2344 1073 a(\014) p Fm 2399 1088 a(1) p
Fl 2439 1073 a(f) p Fm 2487 1088 a(1) p Fk 2526 1073
a(k) p Fp 2604 1073 a(=) p Fl 2707 1073 a(O) p Fp 2785
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156 1251 a(some) p Fl 405 1251 a(c) p 474 1251 a(>) p
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147 1468 a(of.) p Fp 354 1468 a(W) p 446 1468 a(e) p
515 1468 a(consider) p 888 1468 a(the) p 1049 1468 a(\014rst) p
1243 1468 a(op) s(erator) p 1629 1468 a(only) p 1802
1468 a(.) p 1870 1468 a(If) p Fl 1961 1468 a(x) p Fk
2044 1468 a(2) p Fl 2138 1468 a(F) p Fp 2215 1468 a(,) p
2269 1468 a(then) p Fl 2484 1468 a(c) p Fm 2526 1483
a(1) p Fl 2565 1468 a(d) p Fi 2616 1432 a(\033) p Fl
2691 1468 a(<) p 2794 1468 a(x) p Fm 2849 1483 a(1) p
Fk 2897 1468 a(\000) p Fl 2982 1468 a(d) p Fm 3033 1483
a(1) p Fl 3100 1468 a(<) p 3204 1468 a(c) p Fm 3246 1483
a(2) p Fl 3285 1468 a(d) p Fm 3336 1432 a(1) p Fi(=) p
Fm(2+) p Fi(\033) p Fp 0 1588 a(for) p 149 1588 a(some) p
Fl 393 1588 a(c) p Fm 435 1603 a(1) p Fl 475 1588 a(;) p
551 1588 a(c) p Fm 593 1603 a(2) p Fk 660 1588 a(\035) p
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1340 1588 a(can) p 1519 1588 a(pro) m(v) m(e) p 1782
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a(1) p Fp 1172 1740 a(~) p Fl 1157 1766 a(\014) p Fm
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a(particle) p 1952 1943 a(starting) p 2318 1943 a(from) p
2552 1943 a(\() p Fl(x;) p 2689 1943 a(\030) p Fp 2737
1943 a(\)) p Fk 2807 1943 a(2) p Fl 2906 1943 a(F) p
Fk 3007 1943 a(\002) p Fp 3109 1943 a(supp) p Fl 3327
1943 a(\014) p Fm 3382 1958 a(1) p Fp 3457 1943 a(at) 0
2064 y(time) p Fl 222 2064 a(t) p Fp 285 2064 a(=) p
389 2064 a(0) p 470 2064 a(mo) m(v) m(es) p 760 2064
a(lik) m(e) p 939 2064 a(the) p 1107 2064 a(free) p 1294
2064 a(particle) p 1646 2064 a(for) p Fl 1796 2064 a(t) p
1858 2064 a(>) p Fp 1962 2064 a(0.) p 2081 2064 a(De\014ne) p
Fl 353 2241 a(K) p Fi 436 2256 a(a) p Fm(2) p Fp 541
2241 a(=) p Fl 644 2241 a(K) p Fi 727 2256 a(a) p Fm(2) p
Fp 804 2241 a(\() p Fl(!) p Fm 903 2256 a(1) p Fp 942
2241 a(\)) p 1008 2241 a(=) p Fl 1111 2241 a(e) p Fi
1156 2200 a(iq) p Ff 1212 2209 a(2) p Fl 1251 2241 a(H) p
Fm 1332 2256 a(1) p Fl 1371 2241 a(e) p Fh 1416 2200
a(\000) p Fi(iq) p Ff 1527 2209 a(2) p Fp 1593 2241 a(=) p
Fl 1697 2241 a(H) p Fp 1786 2241 a(\() p Fl(A) p Fi 1897
2256 a(a) p Fk 1960 2241 a(\000) p Fl 2060 2241 a(A) p
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a(r) p Fl(q) p Fm 2418 2256 a(2) p Fp 2458 2241 a(\)) p
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Fl(A) p Fm 2827 2256 a(1) p Fp 2889 2241 a(+) p Fk 2987
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a(with) p Fl 591 2418 a(a) p Fp 670 2418 a(=) p Fk 773
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Fp(.) p 1084 2418 a(Then) p Fl 244 2596 a(R) p Fp 319
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Fp(0;) p Fl 681 2596 a(H) p Fi 762 2611 a(a) p Fp 803
2596 a(\)) p Fl( ) p Fm 904 2611 a(2) p Fp 972 2596 a(=) p
Fl 1075 2596 a( ) p Fm 1138 2611 a(2) p Fl 1178 2596
a(R) p Fp 1253 2596 a(\() p Fl(E) p Fp 1392 2596 a(+) p
Fl 1490 2596 a(i) p Fp(0;) p Fl 1616 2596 a(K) p Fi 1699
2611 a(a) p Fm(2) p Fp 1775 2596 a(\)) p 1835 2596 a(+) p
Fl 1933 2596 a(R) p Fp 2008 2596 a(\() p Fl(E) p Fp 2146
2596 a(+) p Fl 2245 2596 a(i) p Fp(0;) p Fl 2371 2596
a(H) p Fi 2452 2611 a(a) p Fp 2493 2596 a(\)) p Fl(V) p
Fi 2588 2611 a(a) p Fm(2) p Fl 2664 2596 a(R) p Fp 2739
2596 a(\() p Fl(E) p Fp 2878 2596 a(+) p Fl 2976 2596
a(i) p Fp(0;) p Fl 3102 2596 a(K) p Fi 3185 2611 a(a) p
Fm(2) p Fp 3261 2596 a(\)) 0 2773 y(b) m(y) p 131 2773
a(Lemma) p 475 2773 a(3.1,) p 656 2773 a(where) p Fl
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Fi 1438 2788 a(a) p Fm(2) p Fp 1542 2773 a(=) p Fl 1646
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a(\() p Fl(!) p Fm 1879 2788 a(1) p Fp 1918 2773 a(\)) p
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a(e) p 467 2894 a(ev) p 556 2894 a(aluate) p 849 2894
a(the) p 1018 2894 a(second) p 1333 2894 a(op) s(erator) p
1726 2894 a(on) p 1862 2894 a(the) p 2030 2894 a(righ) m(t) p
2266 2894 a(side) p 2462 2894 a(b) m(y) p 2597 2894 a(decomp) s(osing) p
Fl 3175 2894 a(V) p Fi 3232 2909 a(a) p Fm(2) p Fp 3342
2894 a(as) p 3462 2894 a(in) 0 3014 y(\(3.14\).) p 320
3014 a(By) p 473 3014 a(Theorem) p 885 3014 a(4.1,) p
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3191 a(R) p Fp 396 3191 a(\() p Fl(E) p Fp 534 3191 a(+) p
Fl 632 3191 a(i) p Fp(0;) p Fl 758 3191 a(H) p Fi 839
3206 a(a) p Fp 880 3191 a(\)) p Fl(s) p Fm 964 3206 a(2) p
Fk 1003 3191 a(k) p Fp 1081 3191 a(=) p Fl 1184 3191
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Fl(;) p Fk 1822 3191 a(k) p Fl(s) p Fm 1918 3206 a(2) p
Fl 1958 3191 a(R) p Fp 2033 3191 a(\() p Fl(E) p Fp 2171
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a(K) p Fi 2478 3206 a(a) p Fm(2) p Fp 2555 3191 a(\)) p
Fl(f) p Fm 2641 3206 a(1) p Fk 2680 3191 a(k) p Fp 2758
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Fl(d) p Fh 3028 3150 a(\000) p Fm(1) p Fi(=) p Fm(4+) p
Fi(c\033) p Fp 3320 3191 a(\)) 0 3369 y(and) p 190 3369
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878 3369 a(that) p Fk 626 3546 a(k) p Fl(s) p Fm 722
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Fp 975 3546 a(+) p Fl 1073 3546 a(i) p Fp(0;) p Fl 1199
3546 a(H) p Fi 1280 3561 a(a) p Fp 1321 3546 a(\)) p
Fl(X) p Fi 1440 3561 a(a) p Fm(2) p Fl 1517 3546 a(R) p
Fp 1592 3546 a(\() p Fl(E) p Fp 1730 3546 a(+) p Fl 1828
3546 a(i) p Fp(0;) p Fl 1954 3546 a(K) p Fi 2037 3561
a(a) p Fm(2) p Fp 2114 3546 a(\)) p Fl(f) p Fm 2200 3561
a(1) p Fk 2239 3546 a(k) p Fp 2317 3546 a(=) p Fl 2420
3546 a(O) p Fp 2498 3546 a(\() p Fl(d) p Fh 2587 3505
a(\000) p Fm(3) p Fi(=) p Fm(4+) p Fi(c\033) p Fp 2879
3546 a(\)) 0 3724 y(for) p 150 3724 a(another) p Fl 508
3724 a(c) p 579 3724 a(>) p Fp 684 3724 a(0.) p 805 3724
a(The) p 1006 3724 a(other) p 1262 3724 a(op) s(erators) p
1694 3724 a(with) p Fl 1917 3724 a(X) p Fh 2006 3682
a(\006) p Fi 1998 3745 a(a) p Fm(2) p Fp 2108 3724 a(and) p
Fl 2298 3724 a(X) p Fh 2387 3687 a(1) p Fi 2379 3748
a(a) p Fm(2) p Fp 2495 3724 a(are) p 2658 3724 a(ev) p
2747 3724 a(aluated) p 3095 3724 a(b) m(y) p 3232 3724
a(making) 0 3844 y(use) p 184 3844 a(of) p 311 3844 a(the) p
495 3844 a(argumen) m(t) p 947 3844 a(as) p 1082 3844
a(in) p 1212 3844 a(the) p 1396 3844 a(pro) s(of) p 1666
3844 a(of) p 1793 3844 a(Theorem) p 2221 3844 a(4.1.) p
2463 3844 a(W) p 2555 3844 a(e) p 2647 3844 a(can) p
2841 3844 a(sho) m(w) p 3099 3844 a(that) p 3326 3844
a(these) 0 3964 y(op) s(erators) p 434 3964 a(ob) s(ey) p
670 3964 a(the) p 841 3964 a(b) s(ound) p Fl 1145 3964
a(O) p Fp 1223 3964 a(\() p Fl(d) p Fh 1312 3928 a(\000) p
Fi(L) p Fp 1418 3964 a(\).) p 1535 3964 a(Since) p Fl
1792 3964 a( ) p Fm 1855 3979 a(2) p Fp 1928 3964 a(=) p
2036 3964 a(1) p 2120 3964 a(on) p 2259 3964 a(the) p
2429 3964 a(supp) s(ort) p 2793 3964 a(of) p Fl 2907
3964 a(f) p Fm 2955 3979 a(1) p Fp 3030 3964 a(b) m(y) p
3168 3964 a(\(3.8\),) p 3432 3964 a(w) m(e) 0 4085 y(get) p
Fl 163 4085 a( ) p Fm 226 4100 a(2) p Fl 265 4085 a(\014) p
Fm 320 4100 a(1) p Fl 360 4085 a(f) p Fm 408 4100 a(1) p
Fp 475 4085 a(=) p Fl 579 4085 a(\014) p Fm 634 4100
a(1) p Fl 673 4085 a(f) p Fm 721 4100 a(1) p Fp 783 4085
a(+) p 885 4085 a(~) p Fl 881 4085 a(r) p Fi 925 4100
a(L) p Fp 1009 4085 a(and) p 1199 4085 a(hence) p Fk
928 4262 a(k) p Fl(s) p Fm 1024 4277 a(1) p Fp 1077 4236
a(~) p Fl 1063 4262 a(\014) p Fm 1118 4277 a(1) p Fl
1158 4262 a(R) p Fp 1233 4262 a(\() p Fl(E) p Fp 1371
4262 a(+) p Fl 1469 4262 a(i) p Fp(0;) p Fl 1595 4262
a(H) p Fi 1676 4277 a(a) p Fp 1717 4262 a(\)) p Fl(\014) p
Fm 1810 4277 a(1) p Fl 1850 4262 a(f) p Fm 1898 4277
a(1) p Fk 1937 4262 a(k) p Fp 2015 4262 a(=) p Fl 2118
4262 a(O) p Fp 2196 4262 a(\() p Fl(d) p Fh 2285 4221
a(\000) p Fm(3) p Fi(=) p Fm(4+) p Fi(c\033) p Fp 2577
4262 a(\)) 0 4439 y(for) p Fl 159 4439 a(H) p Fi 240
4454 a(a) p Fp 324 4439 a(with) p Fl 556 4439 a(a) p
Fp 652 4439 a(=) p Fk 773 4439 a(f) p Fp(1) p Fl(;) p
Fp 916 4439 a(2) p Fk(g) p Fp(.) p 1114 4439 a(Th) m(us) p
1371 4439 a(the) p 1549 4439 a(desired) p 1891 4439 a(b) s(ound) p
2201 4439 a(for) p Fl 2360 4439 a(H) p Fi 2441 4454 a(d) p
Fp 2526 4439 a(=) p Fl 2647 4439 a(H) p Fi 2728 4454
a(a) p Fl 2769 4439 a(;) p 2856 4439 a(a) p Fp 2952 4439
a(=) p Fk 3072 4439 a(f) p Fp(1) p Fl(;) p Fp 3215 4439
a(2) p Fl(;) p Fp 3308 4439 a(3) p Fk(g) p Fp(,) p 3478
4439 a(is) 0 4560 y(obtained) p 401 4560 a(b) m(y) p
537 4560 a(rep) s(eating) p 967 4560 a(the) p 1135 4560
a(same) p 1380 4560 a(argumen) m(t) p 1816 4560 a(as) p
1936 4560 a(ab) s(o) m(v) m(e.) p Fe 2250 4560 a(2) p
Fp 146 4718 a(W) p 238 4718 a(e) p 314 4718 a(\014x) p
Fl 452 4718 a(b) p Fp 526 4718 a(as) p 646 4718 a(the) p
814 4718 a(subset) p Fl 1113 4718 a(b) p Fp 1183 4718
a(=) p Fk 1286 4718 a(f) p Fp(2) p Fl(;) p Fp 1429 4718
a(3) p Fk(g) p 1555 4718 a(\032) p 1660 4718 a(f) p Fp(1) p
Fl(;) p Fp 1803 4718 a(2) p Fl(;) p Fp 1896 4718 a(3) p
Fk(g) p Fp(,) p 2053 4718 a(and) p 2242 4718 a(de\014ne) p
2524 4718 a(the) p 2692 4718 a(auxiliary) p 3099 4718
a(op) s(erator) p Fl 122 4895 a(K) p Fi 205 4910 a(b) p
Fp 267 4895 a(=) p Fl 371 4895 a(e) p Fi 416 4854 a(iq) p
Ff 472 4863 a(1) p Fl 510 4895 a(H) p Fi 591 4910 a(b) p
Fl 625 4895 a(e) p Fh 670 4854 a(\000) p Fi(iq) p Ff
781 4863 a(1) p Fp 847 4895 a(=) p Fl 951 4895 a(H) p
Fp 1040 4895 a(\() p Fl(A) p Fm 1151 4910 a(2) p Fp 1212
4895 a(+) p Fl 1310 4895 a(A) p Fm 1383 4910 a(3) p Fp
1445 4895 a(+) p Fk 1543 4895 a(r) p Fl(q) p Fm 1669
4910 a(1) p Fp 1709 4895 a(\)) p 1774 4895 a(=) p Fl
1878 4895 a(H) p Fp 1967 4895 a(\() p Fl(A) p Fi 2078
4910 a(d) p Fk 2140 4895 a(\000) p Fl 2240 4895 a(A) p
Fm 2313 4910 a(1) p Fp 2374 4895 a(+) p Fk 2472 4895
a(r) p Fl(q) p Fm 2598 4910 a(1) p Fp 2638 4895 a(\)) p
2704 4895 a(=) p Fl 2807 4895 a(K) p Fi 2890 4910 a(a) p
Fm(1) p Fp 2967 4895 a(\() p Fk(\000) p Fl(!) p Fm 3143
4910 a(1) p Fp 3183 4895 a(\)) p 3343 4895 a(\(6.2\)) 0
5073 y(b) m(y) p 135 5073 a(\(3.6\)) p 369 5073 a(with) p
Fl 591 5073 a(a) p Fp 670 5073 a(=) p Fk 773 5073 a(f) p
Fp(1) p Fl(;) p Fp 916 5073 a(2) p Fl(;) p Fp 1009 5073
a(3) p Fk(g) p Fp(,) p 1166 5073 a(where) p Fl 1448 5073
a(q) p Fm 1491 5088 a(1) p Fp 1531 5073 a(\() p Fl(x) p
Fp(\)) p 1690 5073 a(=) p Fl 1793 5073 a(q) p Fm 1836
5088 a(1) p Fp 1876 5073 a(\() p Fl(x) p Fp(;) p Fk 2013
5073 a(\000) p Fl(!) p Fm 2151 5088 a(1) p Fp 2191 5073
a(\)) p 2256 5073 a(=) p Fl 2360 5073 a(\013) p Fm 2422
5088 a(1) p Fl 2461 5073 a(\015) p Fp 2517 5073 a(\() p
Fl(x) p Fk 2633 5073 a(\000) p Fl 2732 5073 a(d) p Fm
2783 5088 a(1) p Fp 2822 5073 a(;) p Fk 2866 5073 a(\000) p
Fl(!) p Fm 3004 5088 a(1) p Fp 3044 5073 a(\)) p 3114
5073 a(on) p Fk 920 5264 a(f) p Fl(x) p Fp 1053 5264
a(:) p Fk 1108 5264 a(j) p Fl(x) p Fk 1213 5264 a(\000) p
Fl 1313 5264 a(d) p Fm 1364 5279 a(1) p Fk 1403 5264
a(j) p Fl 1458 5264 a(>) p 1562 5264 a(d) p Fi 1613 5223
a(\033) p Fl 1659 5264 a(;) p Fk 1749 5264 a(j) p Fj
1889 5225 a(d) p Fp 1777 5264 a(\() p Fl(x) p Fk 1893
5264 a(\000) p Fl 1992 5264 a(d) p Fm 2043 5279 a(1) p
Fp 2082 5264 a(\)) p 2142 5264 a(+) p Fl 2240 5264 a(!) p
Fm 2301 5279 a(1) p Fk 2341 5264 a(j) p Fl 2396 5264
a(>) p 2499 5264 a(\016) p Fk 2546 5264 a(g) p Fl(;) p
Fp 0 5441 a(so) p 120 5441 a(that) p Fl 331 5441 a(H) p
Fi 412 5456 a(d) p Fp 480 5441 a(=) p Fl 584 5441 a(K) p
Fi 667 5456 a(b) p Fp 733 5441 a(there) p 983 5441 a(\(see) p
1178 5441 a(\(3.7\)\).) 1723 5753 y(31) p 90 rotate dyy
eop
%%Page: 32 32
32 31 bop Fq 0 407 a(Lemma) p 397 407 a(6.2) p Fo 589
407 a(L) p 645 407 a(et) p Fl 760 407 a(b) p Fp 833 407
a(=) p Fk 941 407 a(f) p Fp(2) p Fl(;) p Fp 1084 407
a(3) p Fk(g) p Fo 1219 407 a(b) p 1259 407 a(e) p 1341
407 a(as) p 1468 407 a(ab) p 1558 407 a(ove) p 1734 407
a(and) p 1926 407 a(let) p Fl 2065 407 a(f) p Fm 2113
422 a(1) p Fo 2190 407 a(b) p 2230 407 a(e) p 2311 407
a(as) p 2438 407 a(in) p 2560 407 a(L) p 2616 407 a(emma) p
Fp 2907 407 a(6) p Fl(:) p Fp(1) p Fo(.) p 3114 407 a(Denote) p
3451 407 a(by) p Fl 0 527 a(g) p Fp 51 527 a(\() p Fl(x) p
Fp(\)) p Fo 216 527 a(the) p 378 527 a(char) p 559 527
a(acteristic) p 984 527 a(function) p 1367 527 a(of) p
1482 527 a(set) p Fl 918 747 a(G) p Fp 1022 747 a(=) p
Fk 1126 747 a(f) p Fl(x) p Fp 1259 747 a(:) p Fl 1314
747 a(x) p Fk 1397 747 a(2) p Fp 1491 747 a(\005) p Fm
1564 762 a(1) p Fp 1603 747 a(\() p Fk(\000) p Fl(!) p
Fm 1779 762 a(1) p Fp 1819 747 a(\)) p Fl(;) p Fk 1947
747 a(j) p Fl(x) p Fk 2052 747 a(\000) p Fl 2152 747
a(d) p Fm 2203 762 a(1) p Fk 2242 747 a(j) p Fl 2298
747 a(<) p 2401 747 a(C) p 2478 747 a(d) p Fi 2529 706
a(\033) p Fk 2576 747 a(g) p Fo 0 967 a(with) p Fl 212
967 a(C) p Fk 316 967 a(\035) p Fp 444 967 a(1) p Fo(,) p
557 967 a(wher) p 753 967 a(e) p Fp 832 967 a(\005) p
Fi 905 982 a(j) p Fp 942 967 a(\() p Fl(\022) p Fp 1028
967 a(\)) p Fo 1101 967 a(is) p 1206 967 a(de\014ne) p
1451 967 a(d) p 1534 967 a(by) p Fp 1661 967 a(\(3) p
Fl(:) p Fp(5\)) p Fo(.) p 1937 967 a(Then) p Fk 476 1187
a(k) p Fl(g) t(R) p Fp 652 1187 a(\() p Fl(E) p Fp 789
1187 a(+) p Fl 887 1187 a(i) p Fp(0;) p Fl 1013 1187
a(H) p Fi 1094 1202 a(b) p Fp 1128 1187 a(\)) p Fl(\014) p
Fm 1221 1202 a(1) p Fl 1260 1187 a(f) p Fm 1308 1202
a(1) p Fk 1348 1187 a(k) p Fp 1420 1187 a(+) p Fk 1518
1187 a(k) p Fl(f) p Fm 1616 1202 a(1) p Fp 1669 1161
a(~) p Fl 1655 1187 a(\014) p Fm 1710 1202 a(1) p Fl
1750 1187 a(R) p Fp 1825 1187 a(\() p Fl(E) p Fp 1963
1187 a(+) p Fl 2061 1187 a(i) p Fp(0;) p Fl 2187 1187
a(H) p Fi 2268 1202 a(b) p Fp 2302 1187 a(\)) p Fl(g) p
Fk 2391 1187 a(k) p Fp 2467 1187 a(=) p Fl 2571 1187
a(O) p Fp 2649 1187 a(\() p Fl(d) p Fh 2738 1146 a(\000) p
Fm(3) p Fi(=) p Fm(4+) p Fi(c\033) p Fp 3030 1187 a(\)) p
Fo 0 1407 a(and) p Fk 917 1528 a(k) p Fl(f) p Fm 1015
1543 a(1) p Fp 1069 1501 a(~) p Fl 1055 1528 a(\014) p
Fm 1110 1543 a(1) p Fl 1149 1528 a(R) p Fp 1224 1528
a(\() p Fl(E) p Fp 1362 1528 a(+) p Fl 1460 1528 a(i) p
Fp(0;) p Fl 1586 1528 a(H) p Fi 1667 1543 a(b) p Fp 1701
1528 a(\)) p Fl(\014) p Fm 1794 1543 a(1) p Fl 1834 1528
a(f) p Fm 1882 1543 a(1) p Fk 1921 1528 a(k) p Fp 1999
1528 a(=) p Fl 2102 1528 a(O) p Fp 2180 1528 a(\() p
Fl(d) p Fh 2269 1486 a(\000) p Fm(1) p Fi(=) p Fm(2+) p
Fi(c\033) p Fp 2561 1528 a(\)) p Fl(:) p Fo 0 1806 a(Pr) p
102 1806 a(o) p 147 1806 a(of.) p Fp 354 1806 a(W) p
446 1806 a(e) p 515 1806 a(\014rst) p 710 1806 a(consider) p
1083 1806 a(the) p 1244 1806 a(op) s(erator) p Fl 1630
1806 a(g) t(R) p Fp 1756 1806 a(\() p Fl(E) p Fp 1880
1806 a(+) p Fl 1964 1806 a(i) p Fp(0;) p Fl 2090 1806
a(H) p Fi 2171 1821 a(b) p Fp 2205 1806 a(\)) p Fl(\014) p
Fm 2298 1821 a(1) p Fl 2337 1806 a(f) p Fm 2385 1821
a(1) p Fp 2425 1806 a(.) p 2493 1806 a(The) p 2687 1806
a(free) p 2867 1806 a(particle) p 3212 1806 a(starting) 0
1926 y(from) p 228 1926 a(\() p Fl(x;) p 365 1926 a(\030) p
Fp 413 1926 a(\)) p Fk 479 1926 a(2) p Fl 573 1926 a(F) p
Fk 668 1926 a(\002) p Fp 763 1926 a(supp) p Fl 981 1926
a(\014) p Fm 1036 1941 a(1) p Fp 1106 1926 a(at) p 1224
1926 a(time) p Fl 1444 1926 a(t) p Fp 1507 1926 a(=) p
1610 1926 a(0) p 1690 1926 a(nev) m(er) p 1948 1926 a(passes) p
2240 1926 a(o) m(v) m(er) p Fl 2447 1926 a(G) p Fp 2555
1926 a(for) p Fl 2702 1926 a(t) p 2765 1926 a(>) p Fp
2868 1926 a(0,) p 2975 1926 a(and) p 3163 1926 a(hence) p
3432 1926 a(w) m(e) 0 2046 y(ha) m(v) m(e) p Fk 225 2046
a(k) p Fl(g) t(R) p Fp 401 2046 a(\() p Fl(E) p Fp 538
2046 a(+) p Fl 636 2046 a(i) p Fp(0;) p Fl 762 2046 a(H) p
Fm 843 2061 a(0) p Fp 882 2046 a(\)) p Fl(\014) p Fm
975 2061 a(1) p Fl 1015 2046 a(f) p Fm 1063 2061 a(1) p
Fk 1102 2046 a(k) p Fp 1180 2046 a(=) p Fl 1283 2046
a(O) p Fp 1361 2046 a(\() p Fl(d) p Fh 1450 2010 a(\000) p
Fi(L) p Fp 1556 2046 a(\)) p 1627 2046 a(for) p 1776
2046 a(an) m(y) p Fl 1960 2046 a(L) p Fk 2054 2046 a(\035) p
Fp 2181 2046 a(1.) p 2300 2046 a(Let) p Fl 935 2267 a(K) p
Fi 1018 2282 a(a) p Fm(2) p Fp 1122 2267 a(=) p Fl 1226
2267 a(K) p Fi 1309 2282 a(a) p Fm(2) p Fp 1386 2267
a(\() p Fl(!) p Fm 1485 2282 a(1) p Fp 1524 2267 a(\)) p
1590 2267 a(=) p Fl 1693 2267 a(e) p Fi 1738 2225 a(iq) p
Ff 1794 2234 a(2) p Fl 1833 2267 a(H) p Fm 1914 2282
a(0) p Fl 1953 2267 a(e) p Fh 1998 2225 a(\000) p Fi(iq) p
Ff 2109 2234 a(2) p Fp 2175 2267 a(=) p Fl 2278 2267
a(H) p Fp 2367 2267 a(\() p Fk(r) p Fl(q) p Fm 2531 2282
a(2) p Fp 2571 2267 a(\)) 0 2487 y(b) s(e) p 132 2487
a(de\014ned) p 468 2487 a(b) m(y) p 602 2487 a(\(3.6\)) p
835 2487 a(with) p Fl 1056 2487 a(a) p Fp 1135 2487 a(=) p
Fk 1239 2487 a(f) p Fp(2) p Fk(g) p Fp(.) p 1457 2487
a(W) p 1549 2487 a(e) p 1625 2487 a(apply) p 1892 2487
a(Lemma) p 2240 2487 a(3.1) p 2396 2487 a(to) p Fl 2515
2487 a(H) p Fm 2596 2502 a(2) p Fp 2667 2487 a(and) p
Fl 2856 2487 a(K) p Fi 2939 2502 a(a) p Fm(2) p Fp 3016
2487 a(,) p 3075 2487 a(and) p 3264 2487 a(w) m(e) p
3407 2487 a(use) 0 2607 y(the) p 168 2607 a(same) p 412
2607 a(argumen) m(t) p 849 2607 a(as) p 968 2607 a(in) p
1082 2607 a(the) p 1250 2607 a(pro) s(of) p 1505 2607
a(of) p 1616 2607 a(Lemma) p 1964 2607 a(6.1.) p 2159
2607 a(By) p 2312 2607 a(Theorem) p 2724 2607 a(4.1,) p
2909 2607 a(w) m(e) p 3052 2607 a(ha) m(v) m(e) p Fk
190 2827 a(k) p Fl(g) t(R) p Fp 366 2827 a(\() p Fl(E) p
Fp 504 2827 a(+) p Fl 602 2827 a(i) p Fp(0;) p Fl 728
2827 a(H) p Fm 809 2842 a(2) p Fp 848 2827 a(\)) p Fl(s) p
Fm 932 2842 a(2) p Fk 971 2827 a(k) p Fp 1049 2827 a(=) p
Fl 1152 2827 a(O) p Fp 1230 2827 a(\() p Fl(d) p Fh 1319
2786 a(\000) p Fm(1) p Fi(=) p Fm(2+) p Fi(c\033) p Fp
1611 2827 a(\)) p Fl(;) p Fk 1790 2827 a(k) p Fl(s) p
Fm 1886 2842 a(2) p Fl 1925 2827 a(R) p Fp 2000 2827
a(\() p Fl(E) p Fp 2139 2827 a(+) p Fl 2237 2827 a(i) p
Fp(0;) p Fl 2363 2827 a(K) p Fi 2446 2842 a(a) p Fm(2) p
Fp 2522 2827 a(\)) p Fl(f) p Fm 2608 2842 a(1) p Fk 2648
2827 a(k) p Fp 2725 2827 a(=) p Fl 2829 2827 a(O) p Fp
2907 2827 a(\() p Fl(d) p Fh 2996 2786 a(\000) p Fm(1) p
Fi(=) p Fm(4+) p Fi(c\033) p Fp 3288 2827 a(\)) p Fl(:) p
Fp 0 3047 a(This) p 220 3047 a(implies) p 549 3047 a(that) p
Fk 757 3047 a(k) p Fl(g) t(R) p Fp 933 3047 a(\() p Fl(E) p
Fp 1065 3047 a(+) p Fl 1158 3047 a(i) p Fp(0;) p Fl 1284
3047 a(H) p Fm 1365 3062 a(2) p Fp 1404 3047 a(\)) p
Fl(\014) p Fm 1497 3062 a(1) p Fl 1537 3047 a(f) p Fm
1585 3062 a(1) p Fk 1624 3047 a(k) p Fp 1702 3047 a(=) p
Fl 1805 3047 a(O) p Fp 1883 3047 a(\() p Fl(d) p Fh 1972
3011 a(\000) p Fm(3) p Fi(=) p Fm(4+) p Fi(c\033) p Fp
2264 3047 a(\).) p 2372 3047 a(W) p 2464 3047 a(e) p
2537 3047 a(rep) s(eat) p 2835 3047 a(this) p 3023 3047
a(argumen) m(t) p 3457 3047 a(to) 0 3167 y(obtain) p
301 3167 a(the) p 467 3167 a(desired) p 796 3167 a(b) s(ound) p
1095 3167 a(for) p Fl 1242 3167 a(g) t(R) p Fp 1368 3167
a(\() p Fl(E) p Fp 1501 3167 a(+) p Fl 1595 3167 a(i) p
Fp(0;) p Fl 1721 3167 a(H) p Fi 1802 3182 a(b) p Fp 1836
3167 a(\)) p Fl(\014) p Fm 1929 3182 a(1) p Fl 1968 3167
a(f) p Fm 2016 3182 a(1) p Fp 2056 3167 a(,) p 2114 3167
a(and) p 2301 3167 a(a) p 2381 3167 a(similar) p 2699
3167 a(argumen) m(t) p 3133 3167 a(applies) p 3457 3167
a(to) p Fl 0 3288 a(f) p Fm 48 3303 a(1) p Fp 102 3261
a(~) p Fl 88 3288 a(\014) p Fm 143 3303 a(1) p Fl 182
3288 a(R) p Fp 257 3288 a(\() p Fl(E) p Fp 389 3288 a(+) p
Fl 481 3288 a(i) p Fp(0;) p Fl 607 3288 a(H) p Fi 688
3303 a(b) p Fp 722 3288 a(\)) p Fl(g) p Fp 811 3288 a(.) p
879 3288 a(The) p 1077 3288 a(second) p 1389 3288 a(b) s(ound) p
1686 3288 a(can) p 1862 3288 a(b) s(e) p 1992 3288 a(also) p
2185 3288 a(sho) m(wn) p 2477 3288 a(in) p 2588 3288
a(a) p 2667 3288 a(similar) p 2984 3288 a(w) m(a) m(y) p
3140 3288 a(.) p 3210 3288 a(W) p 3302 3288 a(e) p 3375
3288 a(giv) m(e) 0 3408 y(only) p 219 3408 a(a) p 304
3408 a(sk) m(etc) m(h) p 605 3408 a(for) p 758 3408 a(a) p
844 3408 a(pro) s(of.) p 1150 3408 a(It) p 1261 3408
a(is) p 1363 3408 a(ob) m(vious) p 1721 3408 a(that) 1951
3382 y(~) p Fl 1937 3408 a(\014) p Fm 1992 3423 a(1) p
Fl 2031 3408 a(R) p Fp 2106 3408 a(\() p Fl(E) p Fp 2247
3408 a(+) p Fl 2348 3408 a(i) p Fp(0;) p Fl 2474 3408
a(H) p Fm 2555 3423 a(0) p Fp 2594 3408 a(\)) p Fl(\014) p
Fm 2687 3423 a(1) p Fp 2762 3408 a(=) p 2874 3408 a(0.) p
3006 3408 a(By) p 3164 3408 a(Theorem) 0 3528 y(4.1,) p
184 3528 a(w) m(e) p 328 3528 a(ha) m(v) m(e) p Fk 510
3748 a(k) p Fl(f) p Fm 608 3763 a(1) p Fl 647 3748 a(R) p
Fp 722 3748 a(\() p Fl(E) p Fp 861 3748 a(+) p Fl 959
3748 a(i) p Fp(0;) p Fl 1085 3748 a(H) p Fm 1166 3763
a(2) p Fp 1205 3748 a(\)) p Fl(s) p Fm 1289 3763 a(2) p
Fk 1328 3748 a(k) p Fp 1400 3748 a(+) p Fk 1498 3748
a(k) p Fl(s) p Fm 1594 3763 a(2) p Fl 1633 3748 a(R) p
Fp 1708 3748 a(\() p Fl(E) p Fp 1846 3748 a(+) p Fl 1944
3748 a(i) p Fp(0;) p Fl 2070 3748 a(K) p Fi 2153 3763
a(a) p Fm(2) p Fp 2230 3748 a(\)) p Fl(f) p Fm 2316 3763
a(1) p Fk 2355 3748 a(k) p Fp 2433 3748 a(=) p Fl 2536
3748 a(O) p Fp 2614 3748 a(\() p Fl(d) p Fh 2703 3707
a(\000) p Fm(1) p Fi(=) p Fm(4+) p Fi(c\033) p Fp 2995
3748 a(\)) 0 3968 y(for) p Fl 149 3968 a(K) p Fi 232
3983 a(a) p Fm(2) p Fp 341 3968 a(as) p 461 3968 a(ab) s(o) m(v) m(e,) p
765 3968 a(and) p 954 3968 a(hence) p 1225 3968 a(it) p
1323 3968 a(follo) m(ws) p 1643 3968 a(that) p Fk 915
4188 a(k) p Fl(f) p Fm 1013 4203 a(1) p Fp 1066 4162
a(~) p Fl 1052 4188 a(\014) p Fm 1107 4203 a(1) p Fl
1146 4188 a(R) p Fp 1221 4188 a(\() p Fl(E) p Fp 1360
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eop
%%Page: 33 33
33 32 bop Fo 0 407 a(Pr) p 102 407 a(o) p 147 407 a(of.) p
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2685 407 a(Lemma) p 3035 407 a(6.1.) p 3237 407 a(W) p
3329 407 a(e) p 3407 407 a(use) 0 527 y(Lemma) p 348
527 a(3.1) p 505 527 a(for) p Fl 654 527 a(H) p Fi 735
542 a(d) p Fp 808 527 a(and) p Fl 998 527 a(K) p Fi 1081
542 a(b) p Fp 1115 527 a(.) p 1186 527 a(Then) p Fl 303
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1025 738 a(\000) p Fl 1125 738 a( ) p Fm 1188 753 a(1) p
Fl 1228 738 a(R) p Fp 1303 738 a(\() p Fl(E) p Fk 1441
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281 1160 a( ) p Fm 344 1175 a(1) p Fl 384 1160 a(R) p
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Fl 3076 1160 a(H) p Fi 3157 1175 a(d) p Fp 3197 1160
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Fl(!) p Fm 846 1386 a(1) p Fp 885 1371 a(\)) p 962 1371
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Fl(;) p Fp 2362 1371 a(2) p Fl(;) p Fp 2455 1371 a(3) p
Fk(g) p Fp(.) p 2641 1371 a(W) p 2733 1371 a(e) p 2815
1371 a(\014rst) p 3022 1371 a(consider) p 3408 1371 a(the) 0
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2236 1491 a(W) p 2328 1491 a(e) p 2406 1491 a(decomp) s(ose) p
Fl 2899 1491 a(V) p Fm 2956 1506 a(1) p Fp 3029 1491
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461 1612 a(Theorem) p 873 1612 a(4.1) p 1030 1612 a(and) p
1220 1612 a(Lemma) p 1568 1612 a(6.2) p 1725 1612 a(that) p
Fk 638 1823 a(k) p Fl(f) p Fm 736 1838 a(1) p Fp 790
1796 a(~) p Fl 776 1823 a(\014) p Fm 831 1838 a(1) p
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1823 a(+) p Fl 1181 1823 a(i) p Fp(0;) p Fl 1307 1823
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1944 4028 a(as) p Fl 599 4239 a(e) p Fh 644 4198 a(\000) p
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842 4450 a(W) p 934 4450 a(e) p 1010 4450 a(calculate) p
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2135 4450 a(as) p Fl 524 4661 a(\022) p Fi 569 4676 a(d) p
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5113 a(\000) p Fl(!) p Fm 2198 5128 a(1) p Fp 2237 5113
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Fm 2583 5128 a(1) p Fl 2623 5113 a(\031) t(:) p Fp 0
5283 a(On) p 163 5283 a(the) p 331 5283 a(other) p 585
5283 a(hand,) p 856 5283 a([) p Fl(H) p Fm 964 5298 a(0) p
Fl 1004 5283 a(;) p 1048 5283 a(e) p Fm 1093 5298 a(1) p
Fp 1132 5283 a(]) p Fl(') p Fm 1223 5298 a(0) p Fp 1295
5283 a(b) s(eha) m(v) m(es) p 1659 5283 a(lik) m(e) 804
5504 y([) p Fl(H) p Fm 912 5519 a(0) p Fl 951 5504 a(;) p
995 5504 a(e) p Fm 1040 5519 a(1) p Fp 1079 5504 a(]) p
Fl(') p Fm 1170 5519 a(0) p Fp 1237 5504 a(=) p Fk 1341
5504 a(\000) p Fp(2) p Fl(i) p Fk 1500 5415 a(p) p 1583
5415 79 4 v Fl 1583 5504 a(E) p Fp 1678 5504 a(\() p
Fl(@) p Fm 1767 5519 a(1) p Fl 1807 5504 a(e) p Fm 1852
5519 a(1) p Fp 1892 5504 a(\)) p Fl 1946 5504 a(') p
Fm 2010 5519 a(0) p Fp 2072 5504 a(+) p Fl 2170 5504
a(O) p Fp 2248 5504 a(\() p Fk(j) p Fl(x) p Fk 2390 5504
a(\000) p Fl 2490 5504 a(d) p Fm 2541 5519 a(1) p Fk
2580 5504 a(j) p Fh 2608 5463 a(\000) p Fm(2) p Fp 2702
5504 a(\)) 1723 5753 y(33) p 90 rotate dyy eop
%%Page: 34 34
34 33 bop Fp 0 407 a(and) p 190 407 a(similarly) p 589
407 a(for) p 738 407 a([) p Fl(H) p Fm 846 422 a(0) p
Fl 885 407 a(;) p 929 407 a(e) p Fm 974 422 a(1) p Fp
1013 407 a(]) p 1040 354 64 4 v Fl(') p Fm 1104 430 a(0) p
Fp 1144 407 a(.) p 1214 407 a(If) p 1312 407 a(w) m(e) p
1455 407 a(set) p Fl 605 624 a(u) p Fm 661 639 a(1) p
Fi(") p Fp 733 624 a(\() p Fl(x) p Fp(\)) p 892 624 a(=) p
Fl 995 624 a(e) p Fh 1040 582 a(\000) p Fi(i"\013) p
Ff 1197 591 a(1) p Fi 1232 582 a(\031) p Fp 1296 624
a(\() p Fl 1333 624 a(@) p Fm 1384 639 a(1) p Fl 1424
624 a(e) p Fm 1469 639 a(1) p Fp 1509 624 a(\)) p 1564
624 a(\() p Fl(x) p Fp(\)) p Fl(;) p 1934 624 a(\021) p
Fm 1982 639 a(1) p Fi(") p Fp 2054 624 a(\() p Fl(x) p
Fm 2147 639 a(2) p Fp 2187 624 a(\)) p 2252 624 a(=) p
2356 624 a(2) p Fl(i) p Fk 2438 535 a(p) p 2521 535 79
4 v Fl 2521 624 a(E) p 2599 624 a(\037) p Fm 2660 639
a(11) p Fi(") p Fp 2767 624 a(\() p Fl(x) p Fm 2860 639
a(2) p Fp 2900 624 a(\)) 0 831 y(for) p Fl 149 831 a(") p
Fk 222 831 a(2) p Fl 316 831 a(Z) p Fp 390 831 a(,) p
450 831 a(then) p 672 831 a(it) p 770 831 a(follo) m(ws) p
1090 831 a(from) p 1320 831 a(Lemma) p 1669 831 a(6.2) p
1826 831 a(that) p Fl 420 1038 a(f) p Fm 468 1053 a(11) p
Fk 571 1038 a(\030) p Fp 676 1038 a(\() p Fl(ic) p Fp(\() p
Fl(E) p Fp 905 1038 a(\)) p Fl(=) p Fp(4) p Fl(\031) p
Fp 1100 1038 a(\)) p Fj 1197 955 a(X) p Fi 1154 1140
a(";") p Fd 1240 1121 a(0) p Fh 1261 1140 a(2) p Fi(Z) p
Fp 1361 1038 a(\() p Fl(R) p Fp 1474 1038 a(\() p Fl(E) p
Fp 1612 1038 a(+) p Fl 1710 1038 a(i) p Fp(0;) p Fl 1836
1038 a(H) p Fi 1917 1053 a(b) p Fp 1951 1038 a(\)) p
Fl(e) p Fi 2034 997 a(i\022) p Fg 2091 1009 a(b) p Fl
2126 1038 a(\021) p Fm 2174 1053 a(1) p Fi(") p Fl 2246
1038 a(u) p Fm 2302 1053 a(1) p Fi(") p Fl 2374 1038
a(') p Fm 2438 1053 a(0) p Fl 2477 1038 a(;) p 2521 1038
a(e) p Fi 2566 997 a(i\022) p Fg 2623 1009 a(b) p 2659
985 52 4 v Fl 2659 1038 a(\021) p Fm 2711 1061 a(1) p
Fi(") p Fd 2779 1043 a(0) p Fl 2805 1038 a(u) p Fm 2861
1053 a(1) p Fi(") p Fd 2929 1034 a(0) p 2955 985 64 4
v Fl 2955 1038 a(') p Fm 3019 1061 a(0) p Fp 3058 1038
a(\)) p Fl(:) p Fp 3343 1038 a(\(6.3\)) 146 1325 y(W) p
238 1325 a(e) p 320 1325 a(consider) p Fl 705 1325 a(f) p
Fi 753 1340 a(l) q(m) p Fp 879 1325 a(with) p Fl 1107
1325 a(l) p Fp 1175 1325 a(=) p 1288 1325 a(2) p 1375
1325 a(or) p Fl 1499 1325 a(m) p Fp 1621 1325 a(=) p
1734 1325 a(2.) p 1869 1325 a(W) p 1961 1325 a(e) p 2043
1325 a(shall) p 2276 1325 a(sho) m(w) p 2523 1325 a(that) p
2740 1325 a(these) p 2995 1325 a(terms) p 3272 1325 a(are) p
3440 1325 a(all) 0 1446 y(negligible.) p 471 1446 a(T) p
533 1446 a(o) p 615 1446 a(see) p 773 1446 a(this,) p
990 1446 a(w) m(e) p 1134 1446 a(write) p Fl 1383 1446
a(\037) p Fm 1444 1461 a(21) p Fp 1547 1446 a(=) p Fl
1650 1446 a(\037) p Fm 1711 1461 a(21+) p Fp 1841 1446
a(\() p Fl(x) p Fm 1934 1461 a(2) p Fp 1974 1446 a(\)) p
2034 1446 a(+) p Fl 2132 1446 a(\037) p Fm 2193 1461
a(21) p Fh(\000) p Fp 2322 1446 a(\() p Fl(x) p Fm 2415
1461 a(2) p Fp 2455 1446 a(\),) p 2553 1446 a(and) p
2742 1446 a(w) m(e) p 2886 1446 a(de\014ne) p Fl 413
1653 a(T) p Fh 470 1668 a(\006) p Fp 530 1653 a(\() p
Fl(x;) p 667 1653 a(D) p Fi 748 1668 a(x) p Fp 791 1653
a(\)) p 857 1653 a(=) p Fl 961 1653 a(\037) p Fm 1022
1668 a(21) p Fh(\006) p Fp 1151 1653 a([) p Fl(H) p Fm
1259 1668 a(0) p Fl 1299 1653 a(;) p 1343 1653 a(e) p
Fm 1388 1668 a(1) p Fp 1427 1653 a(]) p Fl(\014) p Fm
1509 1668 a(1) p Fl 1549 1653 a(\015) p Fm 1600 1668
a(0) p Fl 1639 1653 a(;) p Fp 1897 1628 a(~) p Fl 1878
1653 a(T) p Fh 1935 1668 a(\006) p Fp 1994 1653 a(\() p
Fl(x;) p 2131 1653 a(D) p Fi 2212 1668 a(x) p Fp 2256
1653 a(\)) p 2321 1653 a(=) p Fl 2425 1653 a(\037) p
Fm 2486 1668 a(21) p Fh(\006) p Fp 2616 1653 a([) p Fl(H) p
Fm 2724 1668 a(0) p Fl 2763 1653 a(;) p 2807 1653 a(e) p
Fm 2852 1668 a(1) p Fp 2891 1653 a(]) 2932 1627 y(~) p
Fl 2918 1653 a(\014) p Fm 2973 1668 a(1) p Fl 3013 1653
a(\015) p Fm 3064 1668 a(0) p Fl 3103 1653 a(;) p Fp
0 1860 a(where) p Fl 281 1860 a(\037) p Fm 342 1875 a(21) p
Fh(\006) p Fp 504 1860 a(has) p 678 1860 a(supp) s(ort) p
1039 1860 a(in) p Fk 1152 1860 a(f\006) p Fl(x) p Fm
1334 1875 a(2) p Fl 1402 1860 a(>) p Fp 1506 1860 a(3) p
Fl(d) p Fm 1606 1824 a(1) p Fi(=) p Fm(2+) p Fi(\033) p
Fk 1813 1860 a(g) p Fp 1895 1860 a(and) p Fl 2084 1860
a(\015) p Fm 2135 1875 a(0) p Fp 2206 1860 a(is) p 2304
1860 a(de\014ned) p 2640 1860 a(b) m(y) p Fl 2775 1860
a(\015) p Fm 2826 1875 a(0) p Fp 2893 1860 a(=) p Fl
2996 1860 a(\015) p Fm 3047 1875 a(0) p Fp 3086 1860
a(\() p Fl(D) p Fi 3205 1875 a(x) p Ff 3245 1884 a(2) p
Fp 3283 1860 a(\)) p 3354 1860 a(with) p Fl 0 1980 a(\015) p
Fm 51 1995 a(0) p Fp 90 1980 a(\() p Fl(\030) p Fm 171
1995 a(2) p Fp 210 1980 a(\)) p 276 1980 a(=) p Fl 379
1980 a(\037) p Fp(\() p Fl(d) p Fm 529 1944 a(1) p Fi(=) p
Fm(2) p Fk 639 1980 a(j) p Fl(\030) p Fm 710 1995 a(2) p
Fk 749 1980 a(j) p Fp(\).) p 885 1980 a(The) p 1085 1980
a(sym) m(b) s(ol) p Fl 1419 1980 a(T) p Fh 1476 1995
a(\006) p Fp 1535 1980 a(\() p Fl(x;) p 1672 1980 a(\030) p
Fp 1720 1980 a(\)) p 1790 1980 a(ob) s(eys) p Fk 730
2223 a(j) p Fl(@) p Fi 814 2182 a(\014) 809 2248 y(x) p
Fl 861 2223 a(@) p Fi 917 2182 a(\013) 912 2248 y(\030) p
Fl 968 2223 a(T) p Fh 1025 2238 a(\006) p Fp 1084 2223
a(\() p Fl(x;) p 1221 2223 a(\030) p Fp 1269 2223 a(\)) p
Fk(j) p 1362 2223 a(\024) p Fl 1467 2223 a(C) p Fi 1537
2238 a(\013\014) p Fj 1646 2127 a(\020) p Fk 1695 2223
a(j) p Fl(x) p Fk 1801 2223 a(\000) p Fl 1900 2223 a(d) p
Fm 1951 2238 a(1) p Fk 1990 2223 a(j) p Fp 2040 2223
a(+) p Fl 2138 2223 a(d) p Fm 2189 2182 a(1) p Fi(=) p
Fm(2+) p Fi(\033) p Fj 2396 2127 a(\021) p Fh 2446 2150
a(\000j) p Fi(\014) p Fh 2564 2150 a(j) p Fl 2604 2223
a(d) p Fh 2655 2182 a(j) p Fi(\013) p Fh(j) p Fi(=) p
Fm(2) p Fp 0 2460 a(and) p 200 2460 a(similarly) p 610
2460 a(for) 789 2434 y(~) p Fl 769 2460 a(T) p Fh 826
2475 a(\006) p Fp 886 2460 a(\() p Fl(x;) p 1023 2460
a(\030) p Fp 1071 2460 a(\).) p 1210 2460 a(The) p 1421
2460 a(classical) p 1807 2460 a(particle) p 2170 2460
a(starting) p 2544 2460 a(from) p 2785 2460 a(supp) p
Fl 3003 2460 a(T) p Fh 3060 2475 a(\006) p Fp 3162 2460
a(at) p Fl 3292 2460 a(t) p Fp 3373 2460 a(=) p 3495
2460 a(0) 0 2580 y(passes) p 295 2580 a(far) p 444 2580
a(a) m(w) m(a) m(y) p 688 2580 a(from) p 919 2580 a(cen) m(ters) p
Fl 1248 2580 a(d) p Fm 1299 2595 a(2) p Fp 1371 2580
a(and) p Fl 1561 2580 a(d) p Fm 1612 2595 a(3) p Fp 1684
2580 a(for) p Fl 1833 2580 a(t) p 1897 2580 a(>) p Fp
2001 2580 a(0) p 2083 2580 a(and) p 2273 2580 a(it) p
2371 2580 a(mo) m(v) m(es) p 2662 2580 a(lik) m(e) p
2841 2580 a(the) p 3009 2580 a(free) p 3196 2580 a(particle.) 0
2700 y(This) p 219 2700 a(enables) p 558 2700 a(us) p
679 2700 a(to) p 795 2700 a(construct) p 1220 2700 a(an) p
1352 2700 a(appro) m(ximation) p 1999 2700 a(to) p Fl
2114 2700 a(R) p Fp 2189 2700 a(\() p Fl(E) p Fp 2320
2700 a(+) p Fl 2411 2700 a(i) p Fp(0;) p Fl 2537 2700
a(H) p Fi 2618 2715 a(d) p Fp 2658 2700 a(\)) p Fl(T) p
Fh 2753 2715 a(\006) p Fp 2841 2700 a(in) p 2951 2700
a(a) p 3029 2700 a(form) p 3256 2700 a(similar) 0 2821
y(to) p 119 2821 a(\(3.29\).) p 440 2821 a(W) p 532 2821
a(e) p 608 2821 a(can) p 787 2821 a(construct) p 1216
2821 a(a) p 1297 2821 a(similar) p 1618 2821 a(appro) m(ximation) p
2268 2821 a(for) 2437 2796 y(~) p Fl 2418 2821 a(T) p
Fh 2489 2785 a(\003) 2475 2845 y(\006) p Fl 2534 2821
a(R) p Fp 2609 2821 a(\() p Fl(E) p Fp 2747 2821 a(+) p
Fl 2845 2821 a(i) p Fp(0;) p Fl 2971 2821 a(H) p Fi 3052
2836 a(d) p Fp 3092 2821 a(\)) p 3163 2821 a(also,) p
3386 2821 a(and) 0 2941 y(w) m(e) p 144 2941 a(can) p
322 2941 a(sho) m(w) 615 3123 y(~) p Fl 596 3148 a(T) p
Fh 667 3107 a(\003) 653 3173 y(\006) p Fl 713 3148 a(R) p
Fp 788 3148 a(\() p Fl(E) p Fp 926 3148 a(+) p Fl 1024
3148 a(i) p Fp(0;) p Fl 1150 3148 a(H) p Fi 1231 3163
a(d) p Fp 1271 3148 a(\)) p Fl(T) p Fm 1366 3163 a(+) p
Fp 1453 3148 a(=) p 1561 3148 a(~) p Fl 1556 3148 a(r) p
Fi 1600 3163 a(L) p Fl 1652 3148 a(;) p Fp 1910 3123
a(~) p Fl 1891 3148 a(T) p Fh 1962 3107 a(\003) 1948
3173 y(\006) p Fl 2007 3148 a(R) p Fp 2082 3148 a(\() p
Fl(E) p Fp 2220 3148 a(+) p Fl 2318 3148 a(i) p Fp(0;) p
Fl 2444 3148 a(H) p Fi 2525 3163 a(d) p Fp 2566 3148
a(\)) p Fl(T) p Fh 2661 3163 a(\000) p Fp 2747 3148 a(=) p
2855 3148 a(~) p Fl 2851 3148 a(r) p Fi 2895 3163 a(L) p
Fp 0 3355 a(in) p 116 3355 a(the) p 287 3355 a(same) p
534 3355 a(w) m(a) m(y) p 734 3355 a(as) p 856 3355 a(used) p
1081 3355 a(to) p 1203 3355 a(pro) m(v) m(e) p 1468 3355
a(\(4.10\).) p 1795 3355 a(This) p 2021 3355 a(implies) p
2354 3355 a(that) p Fl 2568 3355 a(f) p Fi 2616 3370
a(l) q(m) p Fp 2736 3355 a(=) p Fl 2844 3355 a(o) p Fp(\(1\)) p
3051 3355 a(for) p Fl 3202 3355 a(l) p Fp 3265 3355 a(=) p
3373 3355 a(2) p 3457 3355 a(or) p Fl 0 3476 a(m) p Fp
113 3476 a(=) p 217 3476 a(2.) 146 3642 y(W) p 238 3642
a(e) p 319 3642 a(end) p 508 3642 a(the) p 681 3642 a(section) p
1012 3642 a(b) m(y) p 1152 3642 a(summing) p 1575 3642
a(up) p 1721 3642 a(the) p 1894 3642 a(results) p 2209
3642 a(obtained) p 2615 3642 a(ab) s(o) m(v) m(e.) p
2944 3642 a(Let) p Fl 3124 3642 a(\022) p Fi 3169 3657
a(b) p Fp 3203 3642 a(\() p Fl(x) p Fp(\)) p Fl(;) p
3416 3642 a(u) p Fm 3472 3657 a(1) p Fi(") p Fp 0 3763
a(and) p Fl 190 3763 a(\021) p Fm 238 3778 a(1) p Fi(") p
Fp 342 3763 a(b) s(e) p 475 3763 a(as) p 595 3763 a(in) p
709 3763 a(\(6.3\).) p 980 3763 a(Then) p Fl 1234 3763
a(f) p Fi 1282 3778 a(d) p Fp 1355 3763 a(b) s(eha) m(v) m(es) p
1719 3763 a(lik) m(e) p Fl 382 3970 a(f) p Fi 430 3985
a(d) p Fk 553 3970 a(\030) p Fl 714 3970 a(f) p Fm 762
3985 a(1) p Fp 801 3970 a(\() p Fl(!) p Fm 900 3985 a(1) p
Fk 967 3970 a(!) p 1095 3970 a(\000) p Fl(!) p Fm 1233
3985 a(1) p Fp 1272 3970 a(;) p Fl 1316 3970 a(E) p Fp
1394 3970 a(\)) 554 4115 y(+) p 714 4115 a(\() p Fl(ic) p
Fp(\() p Fl(E) p Fp 943 4115 a(\)) p Fl(=) p Fp(4) p
Fl(\031) p Fp 1138 4115 a(\)) p Fj 1235 4032 a(X) p Fi
1192 4217 a(";") p Fd 1278 4198 a(0) p Fh 1299 4217 a(2) p
Fi(Z) p Fp 1399 4115 a(\() p Fl(R) p Fp 1512 4115 a(\() p
Fl(E) p Fp 1650 4115 a(+) p Fl 1748 4115 a(i) p Fp(0;) p
Fl 1874 4115 a(H) p Fi 1955 4130 a(b) p Fp 1989 4115
a(\)) p Fl(e) p Fi 2072 4074 a(i\022) p Fg 2129 4086
a(b) p Fl 2165 4115 a(\021) p Fm 2213 4130 a(1) p Fi(") p
Fl 2285 4115 a(u) p Fm 2341 4130 a(1) p Fi(") p Fl 2412
4115 a(') p Fm 2476 4130 a(0) p Fl 2516 4115 a(;) p 2560
4115 a(e) p Fi 2605 4074 a(i\022) p Fg 2662 4086 a(b) p
2697 4062 52 4 v Fl 2697 4115 a(\021) p Fm 2749 4139
a(1) p Fi(") p Fd 2817 4120 a(0) p Fl 2843 4115 a(u) p
Fm 2899 4130 a(1) p Fi(") p Fd 2967 4111 a(0) p 2993
4062 64 4 v Fl 2993 4115 a(') p Fm 3057 4139 a(0) p Fp
3096 4115 a(\)) p Fl(:) p Fp 3343 4115 a(\(6.4\)) p Fq
146 4521 a(7.) p 271 4521 a(Analysis) p 719 4521 a(on) p
875 4521 a(free) p 1095 4521 a(resolv) m(en) m(t) p 1570
4521 a(:) p 1651 4521 a(Completion) p 2257 4521 a(of) p
2384 4521 a(pro) s(of) p Fp 146 4733 a(In) p 261 4733
a(this) p 444 4733 a(section) p 762 4733 a(w) m(e) p
899 4733 a(complete) p 1303 4733 a(the) p 1464 4733 a(pro) s(of) p
1712 4733 a(b) m(y) p 1840 4733 a(calculating) p 2326
4733 a(the) p 2486 4733 a(co) s(e\016cien) m(ts) p 2973
4733 a(of) p 3077 4733 a(amplitudes) p Fl 0 4854 a(f) p
Fi 48 4869 a(j) p Fp 85 4854 a(\() p Fl(!) p Fm 184 4869
a(1) p Fk 250 4854 a(!) p 378 4854 a(\000) p Fl(!) p
Fm 516 4869 a(1) p Fp 555 4854 a(;) p Fl 599 4854 a(E) p
Fp 677 4854 a(\)) p Fl(;) p Fp 783 4854 a(2) p Fk 860
4854 a(\024) p Fl 965 4854 a(j) p Fk 1038 4854 a(\024) p
Fp 1144 4854 a(3.) p 1260 4854 a(Let) p Fl 1427 4854
a(e) p Fm 1472 4869 a(2) p Fp 1512 4854 a(\() p Fl(x) p
Fp(\)) p 1671 4854 a(=) p Fl 1774 4854 a(e) p Fm 1819
4869 a(0) p Fp 1859 4854 a(\() p Fl(x) p Fk 1958 4854
a(\000) p Fl 2041 4854 a(d) p Fm 2092 4869 a(2) p Fp
2131 4854 a(\)) p 2194 4854 a(b) s(e) p 2318 4854 a(as) p
2430 4854 a(in) p 2536 4854 a(section) p 2854 4854 a(6.) p
2970 4854 a(By) p 3115 4854 a(de\014nition,) p Fl 0 4974
a(e) p Fm 45 4989 a(2) p Fp 126 4974 a(=) p 243 4974
a(1) p 332 4974 a(on) p 475 4974 a(supp) p Fl 693 4974
a(@) p Fm 744 4989 a(1) p Fl 784 4974 a(e) p Fm 829 4989
a(1) p Fk 896 4974 a(\\) p Fp 990 4974 a(supp) p Fl 1208
4974 a(\037) p Fm 1269 4989 a(11) p Fp 1344 4974 a(,) p
1413 4974 a(so) p 1541 4974 a(that) p Fl 1760 4974 a(e) p
Fm 1805 4989 a(2) p Fl 1845 4974 a(\021) p Fm 1893 4989
a(1) p Fi(") p Fl 1965 4974 a(u) p Fm 2021 4989 a(1) p
Fi(") p Fp 2134 4974 a(=) p Fl 2251 4974 a(\021) p Fm
2299 4989 a(1) p Fi(") p Fl 2371 4974 a(u) p Fm 2427
4989 a(1) p Fi(") p Fp 2498 4974 a(.) p 2593 4974 a(If) p
2698 4974 a(w) m(e) p 2850 4974 a(mak) m(e) p 3112 4974
a(use) p 3289 4974 a(of) p 3408 4974 a(the) 0 5094 y(relation) 1077
5215 y(\() p Fl(H) p Fi 1196 5230 a(b) p Fk 1252 5215
a(\000) p Fl 1352 5215 a(E) p Fp 1430 5215 a(\)) p Fl(e) p
Fi 1513 5174 a(i\022) p Fg 1570 5186 a(b) p Fl 1605 5215
a(e) p Fm 1650 5230 a(2) p Fp 1718 5215 a(=) p Fl 1821
5215 a(e) p Fi 1866 5174 a(i\022) p Fg 1923 5186 a(b) p
Fp 1959 5215 a(\() p Fl(H) p Fm 2078 5230 a(0) p Fk 2139
5215 a(\000) p Fl 2239 5215 a(E) p Fp 2317 5215 a(\)) p
Fl(e) p Fm 2400 5230 a(2) p Fl 2440 5215 a(;) p Fp 0
5384 a(then) 413 5504 y(\() p Fl(H) p Fi 532 5519 a(b) p
Fk 588 5504 a(\000) p Fl 688 5504 a(E) p Fp 766 5504
a(\)) p Fl(e) p Fi 849 5463 a(i\022) p Fg 906 5475 a(b) p
Fl 941 5504 a(e) p Fm 986 5519 a(2) p Fl 1026 5504 a(R) p
Fp 1101 5504 a(\() p Fl(E) p Fp 1239 5504 a(+) p Fl 1337
5504 a(i) p Fp(0;) p Fl 1463 5504 a(H) p Fm 1544 5519
a(0) p Fp 1583 5504 a(\)) p 1649 5504 a(=) p Fl 1752
5504 a(e) p Fi 1797 5463 a(i\022) p Fg 1854 5475 a(b) p
Fl 1890 5504 a(e) p Fm 1935 5519 a(2) p Fp 1997 5504
a(+) p Fl 2095 5504 a(e) p Fi 2140 5463 a(i\022) p Fg
2197 5475 a(b) p Fp 2233 5504 a([) p Fl(H) p Fm 2341
5519 a(0) p Fl 2380 5504 a(;) p 2424 5504 a(e) p Fm 2469
5519 a(2) p Fp 2508 5504 a(]) p Fl(R) p Fp 2610 5504
a(\() p Fl(E) p Fp 2749 5504 a(+) p Fl 2847 5504 a(i) p
Fp(0;) p Fl 2973 5504 a(H) p Fm 3054 5519 a(0) p Fp 3093
5504 a(\)) 1723 5753 y(34) p 90 rotate dyy eop
%%Page: 35 35
35 34 bop Fp 0 407 a(and) p 190 407 a(hence) p 461 407
a(w) m(e) p 604 407 a(obtain) p 908 407 a(the) p 1076
407 a(rather) p 1368 407 a(formal) p 1675 407 a(represen) m(tation) p
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847 a(the) p 854 847 a(righ) m(t) p 1089 847 a(side) p
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a(l) p Fm 1946 3628 a(2) p Fl 1985 3613 a(v) p Fi 2032
3628 a(") p Fl 2069 3613 a(;) p 2113 3613 a(\037) p Fi
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Fk 2964 3613 a(\024) p Fp 3069 3613 a(2) p Fl(;) p Fp
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492 3833 a(") p Fh 538 3797 a(0) p Fk 590 3833 a(2) p
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923 3833 a(e) p 1000 3833 a(study) p 1269 3833 a(the) p
1438 3833 a(b) s(eha) m(vior) p 1836 3833 a(as) p Fl
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Fp 2297 3833 a(of) p Fl 2409 3833 a(f) p Fi 2457 3848
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a(in) p 3408 3833 a(the) 0 3953 y(presen) m(t) p 339
3953 a(section) p 665 3953 a(is) p 763 3953 a(based) p
1035 3953 a(on) p 1170 3953 a(the) p 1338 3953 a(follo) m(wing) p
1750 3953 a(lemma.) p Fq 0 4231 a(Lemma) p 397 4231 a(7.1) p
Fo 589 4231 a(L) p 645 4231 a(et) p Fl 760 4231 a(B) p
Fi 834 4246 a(j) p Fo 909 4231 a(b) p 949 4231 a(e) p
1031 4231 a(de\014ne) p 1276 4231 a(d) p 1363 4231 a(by) p
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767 4706 a(=) p Fl 871 4706 a(c) p Fh 913 4721 a(\006) p
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Fh 2878 4664 a(\007) p Fi(i) p Fh 2957 4608 a(p) p 3016
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Fl 3145 4706 a(;) p Fo 0 4961 a(wher) p 196 4961 a(e) p
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5225 a(0) p Fp 1570 5210 a(\)) p Fk 1630 5210 a(\000) p
Fl 1730 5210 a(K) p Fh 1813 5225 a(\006) p Fp 1872 5210
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5210 a(k) p Fp 2120 5210 a(=) p Fl 2224 5210 a(O) p Fp
2302 5210 a(\() p Fl(d) p Fh 2391 5169 a(\000) p Fm(1) p
Fi(=) p Fm(2+4) p Fi(\033) p Fp 2687 5210 a(\)) p Fl(:) p
Fp 1723 5753 a(35) p 90 rotate dyy eop
%%Page: 36 36
36 35 bop Fo 146 407 a(Pr) p 248 407 a(o) p 293 407 a(of.) p
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1082 407 a(Green) p 1370 407 a(k) m(ernel) p Fl 1657
407 a(G) p Fm 1734 422 a(0) p Fp 1773 407 a(\() p Fl(x;) p
1910 407 a(y) p Fp 1962 407 a(;) p Fl 2006 407 a(E) p
Fp 2084 407 a(\)) p 2154 407 a(of) p Fl 2265 407 a(R) p
Fp 2340 407 a(\() p Fl(E) p Fp 2478 407 a(+) p Fl 2576
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Fp 371 639 a(\() p Fl(x;) p 508 639 a(y) p Fp 560 639
a(;) p Fl 604 639 a(E) p Fp 682 639 a(\)) p 746 639 a(=) p
Fl 850 639 a(c) p Fm 892 654 a(+) p Fp 951 639 a(\() p
Fl(E) p Fp 1067 639 a(\)) p 1122 639 a(exp\() p Fl(i) p
Fk 1341 550 a(p) p 1425 550 79 4 v Fl 1425 639 a(E) p
Fk 1503 639 a(j) p Fl(x) p Fk 1608 639 a(\000) p Fl 1707
639 a(y) p Fk 1759 639 a(j) p Fp(\)) p Fk(j) p Fl(x) p
Fk 1929 639 a(\000) p Fl 2029 639 a(y) p Fk 2081 639
a(j) p Fh 2109 598 a(\000) p Fm(1) p Fi(=) p Fm(2) p
Fj 2289 543 a(\020) p Fp 2339 639 a(1) p 2410 639 a(+) p
Fl 2508 639 a(O) p Fp 2586 639 a(\() p Fk(j) p Fl(x) p
Fk 2728 639 a(\000) p Fl 2828 639 a(y) p Fk 2880 639
a(j) p Fh 2908 598 a(\000) p Fm(1) p Fp 3001 639 a(\)) p
Fj 3039 543 a(\021) p Fp 3343 639 a(\(7.2\)) 0 872 y(for) p
Fk 154 872 a(j) p Fl(x) p Fk 263 872 a(\000) p Fl 367
872 a(y) p Fk 419 872 a(j) p 483 872 a(\035) p Fp 619
872 a(1.) p 755 872 a(W) p 847 872 a(e) p 928 872 a(calculate) p
Fk 1340 872 a(j) p Fl(x) p Fk 1449 872 a(\000) p Fl 1552
872 a(y) p Fk 1604 872 a(j) p Fp 1669 872 a(for) p 1824
872 a(\() p Fl(x;) p 1961 872 a(y) p Fp 2013 872 a(\)) p
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872 a(lemma.) p 2874 872 a(By) p 3033 872 a(assumption,) p
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1007 a(1) p Fk 2249 992 a(\000) p Fl 2349 992 a(d) p
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2764 992 a(w) m(e) p 2908 992 a(ha) m(v) m(e) p Fk 375
1248 a(j) p Fl(x) p Fk 480 1248 a(\000) p Fl 580 1248
a(y) p Fk 632 1248 a(j) p Fp 742 1248 a(=) p Fj 901 1152
a(\020) p Fp 950 1248 a(\() p Fl(d) p Fm 1039 1263 a(12) p
Fp 1136 1248 a(+) p 1240 1248 a(~) p Fl 1234 1248 a(x) p
Fk 1311 1248 a(\000) p Fp 1418 1248 a(~) p Fl 1411 1248
a(y) p Fp 1462 1248 a(\)) p Fm 1500 1200 a(2) p Fp 1562
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Fk 1815 1248 a(\000) p Fl 1914 1248 a(y) p Fm 1962 1263
a(2) p Fp 2001 1248 a(\)) p Fm 2039 1207 a(2) p Fj 2079
1152 a(\021) p Fm 2128 1175 a(1) p Fi(=) p Fm(2) p Fp
742 1454 a(=) p Fl 901 1454 a(d) p Fj 969 1358 a(\020) p
Fp 1018 1454 a(1) p 1089 1454 a(+) p 1187 1454 a(2) p
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1441 1454 a(~) p Fl 1435 1454 a(x) p Fk 1512 1454 a(\000) p
Fp 1619 1454 a(~) p Fl 1612 1454 a(y) p Fp 1663 1454
a(\)) p 1723 1454 a(+) p Fl 1821 1454 a(d) p Fh 1872
1413 a(\000) p Fm(2) p Fj 1983 1358 a(\020) p Fp 2033
1454 a(\() p 2077 1454 a(~) p Fl 2071 1454 a(x) p Fk
2148 1454 a(\000) p Fp 2254 1454 a(~) p Fl 2248 1454
a(y) p Fp 2299 1454 a(\)) p Fm 2337 1413 a(2) p Fp 2398
1454 a(+) p 2496 1454 a(\() p Fl(x) p Fm 2589 1469 a(2) p
Fk 2651 1454 a(\000) p Fl 2751 1454 a(y) p Fm 2799 1469
a(2) p Fp 2838 1454 a(\)) p Fm 2876 1413 a(2) p Fj 2915
1358 a(\021\021) p Fm 3014 1381 a(1) p Fi(=) p Fm(2) p
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Fk 447 1698 a(j) p Fp 481 1698 a(~) p Fl 475 1698 a(x) p
Fk(j) p Fp 580 1698 a(+) p Fk 678 1698 a(j) p Fp 713
1698 a(~) p Fl 706 1698 a(y) p Fk 757 1698 a(j) p Fp
807 1698 a(+) p Fk 905 1698 a(j) p Fl(x) p Fm 988 1713
a(2) p Fk 1027 1698 a(j) p Fp 1077 1698 a(+) p Fk 1175
1698 a(j) p Fl(y) p Fm 1251 1713 a(2) p Fk 1290 1698
a(j) p Fp 1345 1698 a(=) p Fl 1449 1698 a(O) p Fp 1527
1698 a(\() p Fl(d) p Fm 1616 1662 a(1) p Fi(=) p Fm(2+) p
Fi(\033) p Fp 1822 1698 a(\).) p 1930 1698 a(Since) 1039
1918 y(\(1) p 1148 1918 a(+) p Fl 1246 1918 a(t) p Fp(\)) p
Fm 1319 1877 a(1) p Fi(=) p Fm(2) p Fp 1457 1918 a(=) p
1560 1918 a(1) p 1631 1918 a(+) p Fl 1729 1918 a(t=) p
Fp(2) p Fk 1884 1918 a(\000) p Fl 1984 1918 a(t) p Fm
2019 1877 a(2) p Fl 2059 1918 a(=) p Fp(8) p 2178 1918
a(+) p Fl 2276 1918 a(O) p Fp 2354 1918 a(\() p Fl(t) p
Fm 2427 1877 a(3) p Fp 2466 1918 a(\)) 0 2138 y(as) p
Fl 120 2138 a(t) p Fk 183 2138 a(!) p Fp 310 2138 a(0,) p
418 2138 a(a) p 500 2138 a(simple) p 804 2138 a(computation) p
1373 2138 a(yields) p Fk 643 2358 a(j) p Fl(x) p Fk 748
2358 a(\000) p Fl 847 2358 a(y) p Fk 899 2358 a(j) p
Fp 954 2358 a(=) p 1057 2358 a(\() p Fl(x) p Fm 1150
2373 a(1) p Fk 1212 2358 a(\000) p Fl 1312 2358 a(y) p
Fm 1360 2373 a(1) p Fp 1399 2358 a(\)) p 1459 2358 a(+) p
Fl 1557 2358 a(d) p Fh 1608 2317 a(\000) p Fm(1) p Fp
1719 2358 a(\() p Fl(x) p Fm 1812 2373 a(2) p Fk 1874
2358 a(\000) p Fl 1973 2358 a(y) p Fm 2021 2373 a(2) p
Fp 2060 2358 a(\)) p Fm 2098 2310 a(2) p Fl 2154 2358
a(=) p Fp(2) p 2274 2358 a(+) p Fl 2372 2358 a(O) p Fp
2450 2358 a(\() p Fl(d) p Fh 2539 2317 a(\000) p Fm(1) p
Fi(=) p Fm(2+3) p Fi(\033) p Fp 2836 2358 a(\)) p Fl(:) p
Fp 0 2578 a(Th) m(us) p 247 2578 a(the) p 415 2578 a(lemma) p
729 2578 a(is) p 828 2578 a(v) m(eri\014ed) p 1169 2578
a(b) m(y) p 1304 2578 a(ev) p 1393 2578 a(aluating) p
1773 2578 a(the) p 1941 2578 a(Hilb) s(ert{Sc) m(hmidt) p
2676 2578 a(norm.) p Fe 2968 2578 a(2) p Fp 146 2748
a(W) p 238 2748 a(e) p 314 2748 a(apply) p 583 2748 a(the) p
751 2748 a(ab) s(o) m(v) m(e) p 1027 2748 a(lemma) p
1341 2748 a(to) p Fl 1461 2748 a(f) p Fi 1509 2763 a(l) q(m;"") p
Fd 1679 2744 a(0) p Fp 1737 2748 a(with) p 1959 2748
a(0) p Fk 2035 2748 a(\024) p Fl 2140 2748 a(l) r(;) p
2248 2748 a(m) p Fk 2361 2748 a(\024) p Fp 2466 2748
a(1.) p 2585 2748 a(Since) p Fj 1223 2884 a(Z) p Fp 1323
3001 a(\() p Fl(@) p Fm 1412 3016 a(1) p Fl 1452 3001
a(e) p Fm 1497 3016 a(1) p Fp 1536 3001 a(\)) p 1591
3001 a(\() p Fl(x) p Fm 1684 3016 a(1) p Fl 1724 3001
a(;) p 1768 3001 a(x) p Fm 1823 3016 a(2) p Fp 1862 3001
a(\)) p Fl 1917 3001 a(dx) p Fm 2023 3016 a(1) p Fp 2090
3001 a(=) p Fk 2194 3001 a(\000) p Fp(1) 0 3246 y(for) p
Fl 149 3246 a(x) p Fm 204 3261 a(2) p Fk 272 3246 a(2) p
Fp 366 3246 a(supp) p Fl 583 3246 a(\037) p Fm 644 3261
a(11) p Fp 719 3246 a(,) p 779 3246 a(w) m(e) p 922 3246
a(ha) m(v) m(e) 955 3466 y(\() p Fl(K) p Fm 1076 3481
a(+) p Fl 1135 3466 a(\021) p Fm 1183 3481 a(1) p Fi(") p
Fl 1255 3466 a(u) p Fm 1311 3481 a(1) p Fi(") p Fl 1383
3466 a(') p Fm 1447 3481 a(0) p Fp 1486 3466 a(\)) p
1541 3466 a(\() p Fl(x) p Fp(\)) p 1700 3466 a(=) p Fk
1803 3466 a(\000) p Fl(e) p Fh 1925 3424 a(\000) p Fi(i"\013) p
Ff 2082 3433 a(1) p Fi 2117 3424 a(\031) p Fl 2165 3466
a(\032) p Fm 2215 3481 a(1) p Fi(") p Fp 2287 3466 a(\() p
Fl(x) p Fm 2380 3481 a(2) p Fp 2420 3466 a(\)) p Fl(') p
Fm 2522 3481 a(0) p Fl 2561 3466 a(;) p Fp 0 3686 a(where) p
Fl 282 3686 a(\032) p Fm 332 3701 a(1) p Fi(") p Fp 404
3686 a(\() p Fl(x) p Fm 497 3701 a(2) p Fp 537 3686 a(\)) p
603 3686 a(=) p 706 3686 a(\() p Fl(Y) p 822 3686 a(\021) p
Fm 870 3701 a(1) p Fi(") p Fp 942 3686 a(\)) p 997 3686
a(\() p Fl(x) p Fm 1090 3701 a(2) p Fp 1130 3686 a(\),) p
1227 3686 a(and) p Fl 1417 3686 a(Y) p Fp 1528 3686 a(acts) p
1729 3686 a(on) p Fl 1864 3686 a(\021) p Fp 1916 3686
a(\() p Fl(x) p Fm 2009 3701 a(2) p Fp 2049 3686 a(\)) p
2119 3686 a(as) 478 3936 y(\() p Fl(Y) p 594 3936 a(\021) p
Fp 646 3936 a(\)) p 700 3936 a(\() p Fl(x) p Fm 793 3951
a(2) p Fp 833 3936 a(\)) p 899 3936 a(=) p Fl 1002 3936
a(c) p Fm 1044 3951 a(+) p Fp 1103 3936 a(\() p Fl(E) p
Fp 1219 3936 a(\)) p Fl(d) p Fh 1308 3894 a(\000) p Fm(1) p
Fi(=) p Fm(2) p Fj 1489 3818 a(Z) p Fp 1589 3936 a(exp) q(\() p
Fl(id) p Fh 1860 3894 a(\000) p Fm(1) p Fk 1954 3847
a(p) p 2037 3847 V Fl 2037 3936 a(E) p Fp 2115 3936 a(\() p
Fl(x) p Fm 2208 3951 a(2) p Fk 2270 3936 a(\000) p Fl
2370 3936 a(y) p Fm 2418 3951 a(2) p Fp 2457 3936 a(\)) p
Fm 2495 3894 a(2) p Fl 2534 3936 a(=) p Fp(2\)) p Fl(\021) p
Fp 2722 3936 a(\() p Fl(y) p Fm 2808 3951 a(2) p Fp 2846
3936 a(\)) p Fl 2901 3936 a(dy) p Fm 3000 3951 a(2) p
Fl 3039 3936 a(:) p Fp 3343 3936 a(\(7.3\)) 0 4180 y(Similarly) p
415 4180 a(w) m(e) p 558 4180 a(ha) m(v) m(e) 953 4300
y(\() p Fl(K) p Fh 1074 4315 a(\000) p 1133 4248 52 4
v Fl 1133 4300 a(\021) p Fm 1185 4324 a(1) p Fi(") p
Fl 1257 4300 a(u) p Fm 1313 4315 a(1) p Fi(") p 1385
4248 64 4 v Fl 1385 4300 a(') p Fm 1449 4324 a(0) p Fp
1488 4300 a(\)) p 1543 4300 a(\() p Fl(x) p Fp(\)) p
1702 4300 a(=) p Fk 1805 4300 a(\000) p Fl(e) p Fh 1927
4259 a(\000) p Fi(i"\013) p Ff 2084 4268 a(1) p Fi 2119
4259 a(\031) p 2166 4248 51 4 v Fl 2166 4300 a(\032) p
Fm 2217 4324 a(1) p Fi(") p Fp 2289 4300 a(\() p Fl(x) p
Fm 2382 4315 a(2) p Fp 2421 4300 a(\)) p 2459 4248 64
4 v Fl(') p Fm 2523 4324 a(0) p Fl 2563 4300 a(:) p Fp
0 4475 a(The) p 208 4475 a(estimates) p 644 4475 a(obtained) p
1053 4475 a(in) p 1174 4475 a(Lemmas) p 1568 4475 a(6.1) p
1732 4475 a(and) p 1929 4475 a(6.3) p 2094 4475 a(remain) p
2426 4475 a(true) p 2639 4475 a(for) p Fl 2796 4475 a(H) p
Fi 2877 4490 a(b) p Fp 2951 4475 a(under) p 3234 4475
a(natural) 0 4595 y(mo) s(di\014cation.) p 599 4595 a(F) p
655 4595 a(or) p 774 4595 a(example,) p 1183 4595 a(w) m(e) p
1326 4595 a(ha) m(v) m(e) p Fk 111 4815 a(kh) p Fl(x) p
Fk 277 4815 a(\000) p Fl 377 4815 a(d) p Fm 428 4830
a(2) p Fk 467 4815 a(i) p Fm 506 4774 a(1) p Fi(=) p
Fm(2) p Fp 616 4815 a([) p Fl(H) p Fm 724 4830 a(0) p
Fl 763 4815 a(;) p 807 4815 a(e) p Fm 852 4830 a(2) p
Fp 892 4815 a(]) p Fl(\037) p Fm 980 4830 a(12) p Fp
1069 4789 a(~) p Fl 1055 4815 a(\014) p Fm 1110 4830
a(1) p Fl 1149 4815 a(R) p Fp 1224 4815 a(\() p Fl(E) p
Fp 1362 4815 a(+) p Fl 1460 4815 a(i) p Fp(0;) p Fl 1586
4815 a(H) p Fi 1667 4830 a(b) p Fp 1701 4815 a(\)) p
Fl(\014) p Fm 1794 4830 a(1) p Fl 1834 4815 a(\037) p
Fm 1895 4830 a(12) p Fp 1969 4815 a([) p Fl(H) p Fm 2077
4830 a(0) p Fl 2117 4815 a(;) p 2161 4815 a(e) p Fm 2206
4830 a(2) p Fp 2245 4815 a(]) p Fk(h) p Fl(x) p Fk 2389
4815 a(\000) p Fl 2488 4815 a(d) p Fm 2539 4830 a(2) p
Fk 2578 4815 a(i) p Fm 2617 4774 a(1) p Fi(=) p Fm(2) p
Fk 2727 4815 a(k) p Fp 2805 4815 a(=) p Fl 2908 4815
a(O) p Fp 2986 4815 a(\() p Fl(d) p Fh 3075 4774 a(\000) p
Fm(1) p Fi(=) p Fm(2+) p Fi(c\033) p Fp 3367 4815 a(\)) p
Fl(;) p Fp 0 5035 a(whic) m(h) p 287 5035 a(follo) m(ws) p
616 5035 a(from) p 854 5035 a(the) p 1031 5035 a(second) p
1354 5035 a(b) s(ound) p 1663 5035 a(in) p 1785 5035
a(Lemma) p 2141 5035 a(6.3.) p 2361 5035 a(If) p 2467
5035 a(w) m(e) p 2618 5035 a(tak) m(e) p 2838 5035 a(accoun) m(t) p
3207 5035 a(of) p 3326 5035 a(these) 0 5156 y(estimates,) p
456 5156 a(then) p 679 5156 a(Lemma) p 1027 5156 a(7.1) p
1184 5156 a(sho) m(ws) p 1464 5156 a(that) p Fl 1675
5156 a(f) p Fi 1723 5171 a(l) q(m;"") p Fd 1893 5152
a(0) p Fp 1952 5156 a(b) s(eha) m(v) m(es) p 2315 5156
a(lik) m(e) p Fl 99 5376 a(e) p Fh 144 5334 a(\000) p
Fi(i"\013) p Ff 301 5343 a(1) p Fi 335 5334 a(\031) p
Fl 382 5376 a(e) p Fi 427 5334 a(i") p Fd 484 5311 a(0) p
Fi 506 5334 a(\013) p Ff 551 5343 a(1) p Fi 586 5334
a(\031) p Fp 633 5376 a(\() p Fl(ic) p Fp(\() p Fl(E) p
Fp 862 5376 a(\)) p Fl(=) p Fp(4) p Fl(\031) p Fp 1057
5376 a(\)\() p Fl(R) p Fp 1208 5376 a(\() p Fl(E) p Fp
1346 5376 a(+) p Fl 1444 5376 a(i) p Fp(0;) p Fl 1570
5376 a(H) p Fi 1651 5391 a(b) p Fp 1685 5376 a(\)) p
Fl(e) p Fi 1768 5334 a(i\022) p Fg 1825 5346 a(b) p Fl
1861 5376 a(\037) p Fi 1922 5391 a(l) p Fm 1944 5391
a(2) p Fp 1983 5376 a([) p Fl(H) p Fm 2091 5391 a(0) p
Fl 2130 5376 a(;) p 2174 5376 a(e) p Fm 2219 5391 a(2) p
Fp 2259 5376 a(]) p Fl(\032) p Fm 2336 5391 a(1) p Fi(") p
Fl 2408 5376 a(') p Fm 2472 5391 a(0) p Fl 2512 5376
a(;) p 2556 5376 a(e) p Fi 2601 5334 a(i\022) p Fg 2658
5346 a(b) p Fl 2693 5376 a(\037) p Fi 2754 5391 a(m) p
Fm(2) p Fp 2856 5376 a([) p Fl(H) p Fm 2964 5391 a(0) p
Fl 3003 5376 a(;) p 3047 5376 a(e) p Fm 3092 5391 a(2) p
Fp 3132 5376 a(]) p 3159 5323 51 4 v Fl(\032) p Fm 3209
5399 a(1) p Fi(") p Fd 3277 5380 a(0) p 3303 5323 64
4 v Fl 3303 5376 a(') p Fm 3367 5399 a(0) p Fp 3407 5376
a(\)) 1723 5753 y(36) p 90 rotate dyy eop
%%Page: 37 37
37 36 bop Fp 0 407 a(as) p Fl 129 407 a(d) p Fk 223 407
a(!) p 366 407 a(1) p Fp(,) p 536 407 a(when) p 800 407
a(0) p Fk 892 407 a(\024) p Fl 1013 407 a(l) r(;) p 1129
407 a(m) p Fk 1258 407 a(\024) p Fp 1378 407 a(1.) p
1525 407 a(W) p 1617 407 a(e) p 1702 407 a(ev) p 1791
407 a(aluate) p 2093 407 a(these) p 2352 407 a(terms.) p
2689 407 a(W) p 2781 407 a(e) p 2866 407 a(use) p 3044
407 a(the) p 3221 407 a(in) m(tegral) 0 527 y(form) m(ula) p
Fj 985 530 a(Z) p Fl 1084 648 a(e) p Fh 1129 606 a(\006) p
Fi(i\015) t(t) p Ff 1273 583 a(2) p Fl 1329 648 a(dt) p
Fp 1443 648 a(=) p 1546 648 a(\() p Fl(\031) t(=\015) p
Fp 1748 648 a(\)) p Fm 1786 599 a(1) p Fi(=) p Fm(2) p
Fl 1913 648 a(e) p Fh 1958 606 a(\006) p Fi(i\031) r(=) p
Fm(4) p Fl 2154 648 a(;) p 2296 648 a(\015) p 2379 648
a(>) p Fp 2483 648 a(0) p Fl(;) p Fp 3343 648 a(\(7.4\)) 0
857 y(to) p 110 857 a(analyze) p 451 857 a(the) p 611
857 a(b) s(eha) m(vior) p 1000 857 a(of) p 1102 857 a(the) p
1262 857 a(term) p 1486 857 a(with) p Fl 1699 857 a(l) p
Fp 1758 857 a(=) p Fl 1862 857 a(m) p Fp 1975 857 a(=) p
2078 857 a(0.) p 2195 857 a(Recall) p 2480 857 a(that) p
Fl 2683 857 a(\021) p Fm 2731 872 a(1) p Fi(") p Fp 2830
857 a(=) p 2934 857 a(2) p Fl(i) p Fk 3016 773 a(p) p
3099 773 79 4 v Fl 3099 857 a(E) p 3177 857 a(\037) p
Fm 3238 872 a(11) p Fi(") p Fp 3345 857 a(\() p Fl(x) p
Fm 3438 872 a(2) p Fp 3478 857 a(\).) 0 978 y(W) p 92
978 a(e) p 168 978 a(ha) m(v) m(e) p Fl 65 1170 a(\032) p
Fm 115 1185 a(1) p Fi(") p Fp 187 1170 a(\() p Fl(x) p
Fm 280 1185 a(2) p Fp 320 1170 a(\)) p 386 1170 a(=) p
489 1170 a(\() p Fl(Y) p 605 1170 a(\021) p Fm 653 1185
a(1) p Fi(") p Fp 726 1170 a(\)) p 780 1170 a(\() p Fl(x) p
Fm 873 1185 a(2) p Fp 913 1170 a(\)) p 979 1170 a(=) p
1082 1170 a(2) p Fl(i) p Fk 1164 1081 a(p) p 1247 1081
V Fl 1247 1170 a(E) p 1325 1170 a(c) p Fm 1367 1185 a(+) p
Fp 1426 1170 a(\() p Fl(E) p Fp 1542 1170 a(\)) p Fl(d) p
Fh 1631 1129 a(\000) p Fm(1) p Fi(=) p Fm(2) p Fj 1812
1053 a(Z) p Fp 1912 1170 a(exp) q(\() p Fl(id) p Fh 2183
1129 a(\000) p Fm(1) p Fk 2277 1081 a(p) p 2360 1081
V Fl 2360 1170 a(E) p Fp 2438 1170 a(\() p Fl(x) p Fm
2531 1185 a(2) p Fk 2593 1170 a(\000) p Fl 2693 1170
a(y) p Fm 2741 1185 a(2) p Fp 2780 1170 a(\)) p Fm 2818
1129 a(2) p Fl 2857 1170 a(=) p Fp(2\)) p Fl(\037) p
Fm 3054 1185 a(11) p Fi(") p Fp 3161 1170 a(\() p Fl(y) p
Fm 3247 1185 a(2) p Fp 3286 1170 a(\)) p Fl 3341 1170
a(dy) p Fm 3440 1185 a(2) p Fp 0 1403 a(b) m(y) p 136
1403 a(de\014nition.) p 608 1403 a(If) p Fk 706 1403
a(j) p Fl(x) p Fm 789 1418 a(2) p Fk 828 1403 a(j) p
Fl 884 1403 a(<) p 988 1403 a(cd) p Fi 1081 1367 a(\033) p
Fp 1160 1403 a(for) p 1309 1403 a(some) p Fl 1554 1403
a(c) p 1624 1403 a(>) p Fp 1728 1403 a(0,) p 1836 1403
a(then) p Fl 2059 1403 a(@) p Fm 2110 1418 a(2) p Fl
2150 1403 a(\032) p Fm 2200 1418 a(1) p Fi(") p Fp 2272
1403 a(\() p Fl(x) p Fm 2365 1418 a(2) p Fp 2405 1403
a(\)) p 2471 1403 a(=) p Fl 2575 1403 a(O) p Fp 2653
1403 a(\() p Fl(d) p Fh 2742 1367 a(\000) p Fm(1) p Fi(=) p
Fm(2+2) p Fi(\033) p Fp 3038 1403 a(\).) p 3148 1403
a(A) p 3253 1403 a(c) m(hange) 0 1524 y(of) p 111 1524
a(v) p 157 1524 a(ariable) p 477 1524 a(sho) m(ws) p
757 1524 a(that) p Fl 564 1716 a(\032) p Fm 614 1731
a(1+) p Fp 708 1716 a(\() p Fl(x) p Fm 801 1731 a(2) p
Fp 841 1716 a(\)) p 907 1716 a(=) p 1010 1716 a(2) p
Fl(i) p Fk 1092 1627 a(p) p 1175 1627 V Fl 1175 1716
a(E) p 1253 1716 a(c) p Fm 1295 1731 a(+) p Fp 1354 1716
a(\() p Fl(E) p Fp 1470 1716 a(\)) p Fj 1525 1599 a(Z) p
Fh 1608 1625 a(1) p Fm 1571 1787 a(0) p Fp 1699 1716
a(exp) q(\() p Fl(i) p Fk 1919 1627 a(p) p 2003 1627
V Fl 2003 1716 a(E) p 2081 1716 a(t) p Fm 2116 1675 a(2) p
Fl 2155 1716 a(=) p Fp(2\)) p Fl 2308 1716 a(dt) p Fp
2415 1716 a(+) p Fl 2513 1716 a(O) p Fp 2591 1716 a(\() p
Fl(d) p Fh 2680 1675 a(\000) p Fm(1) p Fi(=) p Fm(2+) p
Fi(\033) p Fp 2942 1716 a(\)) 0 1954 y(and) p 184 1954
a(hence) p 450 1954 a(it) p 542 1954 a(follo) m(ws) p
857 1954 a(from) p 1083 1954 a(form) m(ula) p 1435 1954
a(\(7.4\)) p 1663 1954 a(that) p Fl 1869 1954 a(\032) p
Fm 1919 1969 a(1+) p Fp 2013 1954 a(\() p Fl(x) p Fm
2106 1969 a(2) p Fp 2146 1954 a(\)) p 2212 1954 a(=) p
Fk 2315 1954 a(\000) p Fp(1) p Fl(=) p Fp(2) p 2550 1954
a(+) p Fl 2637 1954 a(O) p Fp 2715 1954 a(\() p Fl(d) p
Fh 2804 1917 a(\000) p Fm(1) p Fi(=) p Fm(2+) p Fi(\033) p
Fp 3066 1954 a(\)) p 3131 1954 a(uniformly) 0 2074 y(in) p
Fl 106 2074 a(x) p Fm 161 2089 a(2) p Fp 226 2074 a(as) p
339 2074 a(ab) s(o) m(v) m(e.) p 651 2074 a(A) p 749
2074 a(similar) p 1062 2074 a(relation) p 1412 2074 a(is) p
1503 2074 a(true) p 1702 2074 a(for) p Fl 1843 2074 a(\032) p
Fm 1893 2089 a(1) p Fh(\000) p Fp 1988 2074 a(\() p Fl(x) p
Fm 2081 2089 a(2) p Fp 2121 2074 a(\).) p 2227 2074 a(Th) m(us) p
2466 2074 a(w) m(e) p 2603 2074 a(see) p 2753 2074 a(that) p
Fl 2957 2074 a(f) p Fm 3005 2089 a(00) p Fi(;"") p Fd
3161 2070 a(0) p Fp 3212 2074 a(b) s(eha) m(v) m(es) 0
2194 y(lik) m(e) p Fj 132 2290 a(\020) p Fl 182 2387
a(e) p Fh 227 2345 a(\000) p Fi(i"\013) p Ff 384 2354
a(1) p Fi 418 2345 a(\031) p Fl 466 2387 a(e) p Fi 511
2345 a(i") p Fd 568 2322 a(0) p Fi 590 2345 a(\013) p
Ff 635 2354 a(1) p Fi 670 2345 a(\031) p Fl 717 2387
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3004 5504 a(\)) 1723 5753 y(37) p 90 rotate dyy eop
%%Page: 38 38
38 37 bop Fp 0 407 a(for) p Fl 149 407 a(x) p Fk 232
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1833 634 a(j) p 1888 634 a(\024) p Fl 1993 634 a(C) p
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Fk 1923 1070 a(j) p Fl(x) p Fk 2028 1070 a(\000) p Fl
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1743 1808 a(ranges) p 2057 1808 a(o) m(v) m(er) p 2276
1808 a(a) p 2367 1808 a(\014nite) p 2626 1808 a(n) m(um) m(b) s(er) p
2991 1808 a(of) p Fl 3112 1808 a(k) p Fp 3208 1808 a(and) p
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Fp(.) p 1168 2169 a(Then) p 1425 2169 a(the) p 1595 2169
a(iden) m(tit) m(y) p 1957 2169 a(op) s(erator) p 2352
2169 a(is) p 2452 2169 a(decomp) s(osed) p 2999 2169
a(in) m(to) p 3199 2169 a(the) p 3369 2169 a(sum) 0 2289
y(of) p 111 2289 a(pseudo) s(di\013eren) m(tial) p 895
2289 a(op) s(erators) 1083 2507 y(1) p 1159 2507 a(=) p
Fl 1263 2507 a(\014) p Fm 1318 2522 a(1) p Fp 1374 2507
a(\() p Fl(\015) p Fm 1463 2522 a(0) p Fp 1524 2507 a(+) p
Fl 1622 2507 a(\015) p Fm 1673 2522 a(+) p Fp 1754 2507
a(+) p Fl 1852 2507 a(\015) p Fh 1903 2522 a(\000) p
Fp 1961 2507 a(\)) p 2022 2507 a(+) p 2120 2507 a(\() o(1) p
Fk 2228 2507 a(\000) p Fl 2328 2507 a(\014) p Fm 2383
2522 a(1) p Fp 2423 2507 a(\)) 0 2725 y(and) p 198 2725
a(similarly) p 605 2725 a(for) 776 2699 y(~) p Fl 762
2725 a(\014) p Fm 817 2740 a(1) p Fp 857 2725 a(.) p
952 2725 a(If) p Fl 1057 2725 a(y) p Fp 1150 2725 a(=) p
1268 2725 a(\() p Fl(y) p Fm 1354 2740 a(1) p Fl 1393
2725 a(;) p 1437 2725 a(y) p Fm 1485 2740 a(2) p Fp 1523
2725 a(\)) p Fk 1603 2725 a(2) p Fp 1711 2725 a(supp) p
Fl 1928 2725 a(\037) p Fm 1989 2740 a(11) p Fp 2064 2725
a(,) p 2134 2725 a(then) p Fk 2365 2725 a(j) p Fl(y) p
Fm 2441 2740 a(2) p Fk 2479 2725 a(j) p Fl 2548 2725
a(<) p Fp 2666 2725 a(6) p Fl(d) p Fm 2766 2689 a(1) p
Fi(=) p Fm(2+) p Fi(\033) p Fp 2973 2725 a(.) p 3068
2725 a(Since) p Fl 3331 2725 a(x) p Fm 3386 2740 a(2) p
Fl 3467 2725 a(>) p Fp 0 2845 a(9) p Fl(d) p Fm 100 2809
a(1) p Fi(=) p Fm(2+) p Fi(\033) p Fp 340 2845 a(for) p
Fl 489 2845 a(x) p Fk 572 2845 a(2) p Fl 666 2845 a(F) p
Fm 729 2860 a(+) p Fp 788 2845 a(,) p 848 2845 a(w) m(e) p
991 2845 a(ha) m(v) m(e) p Fk 1028 2975 a(p) p 1112 2975
V Fl 1112 3063 a(E) p Fk 1190 3063 a(r) p Fi 1273 3078
a(x) p Fk 1316 3063 a(j) p Fl(x) p Fk 1422 3063 a(\000) p
Fl 1521 3063 a(a) p Fi 1572 3078 a(k) p Fk 1615 3063
a(j) p 1671 3063 a(2) p Fp 1765 3063 a(supp) p Fl 1982
3063 a(\014) p Fm 2037 3078 a(1) p Fk 2099 3063 a(\\) p
Fp 2188 3063 a(supp) p Fl 2405 3063 a(\015) p Fm 2456
3078 a(+) p Fp 0 3281 a(for) p Fl 149 3281 a(x) p Fk
232 3281 a(2) p Fl 326 3281 a(F) p Fm 389 3296 a(+) p
Fp 448 3281 a(,) p 508 3281 a(and) p 698 3281 a(w) m(e) p
841 3281 a(can) p 1020 3281 a(sho) m(w) p 1262 3281 a(that) p
Fk 186 3499 a(k) p Fl(r) p Fh 280 3514 a(\000) p Fi(L) p
Fl 386 3499 a(\014) p Fm 441 3514 a(1) p Fl 481 3499
a(\015) p Fm 532 3514 a(0) p Fl 571 3499 a(\037) p Fm
632 3514 a(22+) p Fl 762 3499 a(v) p Fi 809 3514 a(") p
Fk 846 3499 a(k) p Fi 896 3516 a(L) p Ff 944 3497 a(2) p
Fp 1004 3499 a(+) p Fk 1102 3499 a(k) p Fl(r) p Fh 1196
3514 a(\000) p Fi(L) p Fl 1303 3499 a(\014) p Fm 1358
3514 a(1) p Fl 1398 3499 a(\015) p Fh 1449 3514 a(\000) p
Fl 1507 3499 a(\037) p Fm 1568 3514 a(22+) p Fl 1698
3499 a(v) p Fi 1745 3514 a(") p Fk 1782 3499 a(k) p Fi
1832 3516 a(L) p Ff 1880 3497 a(2) p Fp 1940 3499 a(+) p
Fk 2039 3499 a(k) p Fl(r) p Fh 2133 3514 a(\000) p Fi(L) p
Fp 2256 3499 a(\(1) p Fk 2365 3499 a(\000) p Fl 2464
3499 a(\014) p Fm 2519 3514 a(1) p Fp 2559 3499 a(\)) p
Fl 2613 3499 a(\037) p Fm 2674 3514 a(22+) p Fl 2804
3499 a(v) p Fi 2851 3514 a(") p Fk 2888 3499 a(k) p Fi
2938 3516 a(L) p Ff 2986 3497 a(2) p Fp 3052 3499 a(=) p
Fl 3156 3499 a(O) p Fp 3234 3499 a(\(1\)) 0 3717 y(for) p
151 3717 a(an) m(y) p Fl 338 3717 a(L) p Fk 435 3717
a(\035) p Fp 566 3717 a(1.) p 692 3717 a(A) p 800 3717
a(similar) p 1122 3717 a(b) s(ound) p 1425 3717 a(is) p
1525 3717 a(true) p 1733 3717 a(for) p Fl 1884 3717 a(\037) p
Fm 1945 3732 a(22+) p Fp 2079 3717 a(~) p Fl 2075 3717
a(v) p Fi 2122 3732 a(") p Fp 2194 3717 a(with) p Fl
2418 3717 a(\014) p Fm 2473 3732 a(1) p Fp 2547 3717
a(replaced) p 2934 3717 a(b) m(y) 3086 3691 y(~) p Fl
3072 3717 a(\014) p Fm 3127 3732 a(1) p Fp 3166 3717
a(.) p 3243 3717 a(On) p 3408 3717 a(the) 0 3838 y(other) p
264 3838 a(hand,) p 547 3838 a(the) p 725 3838 a(classical) p
1109 3838 a(particle) p 1471 3838 a(starting) p 1844
3838 a(from) p 2084 3838 a(\() p Fl(x;) p 2221 3838 a(\030) p
Fp 2269 3838 a(\)) p Fk 2350 3838 a(2) p Fl 2460 3838
a(F) p Fm 2523 3853 a(+) p Fk 2611 3838 a(\002) p Fp
2717 3838 a(\(supp) p Fl 2973 3838 a(\014) p Fm 3028
3853 a(1) p Fk 3090 3838 a(\\) p Fp 3178 3838 a(supp) p
Fl 3396 3838 a(\015) p Fm 3447 3853 a(+) p Fp 3505 3838
a(\)) 0 3958 y(at) p 126 3958 a(time) p Fl 354 3958 a(t) p
Fp 428 3958 a(=) p 543 3958 a(0) p 631 3958 a(passes) p
932 3958 a(far) p 1087 3958 a(a) m(w) m(a) m(y) p 1337
3958 a(from) p 1574 3958 a(cen) m(ter) p Fl 1871 3958
a(d) p Fm 1922 3973 a(3) p Fp 2000 3958 a(for) p Fl 2155
3958 a(t) p 2229 3958 a(>) p Fp 2344 3958 a(0) p 2432
3958 a(and) p 2628 3958 a(it) p 2732 3958 a(mo) m(v) m(es) p
3029 3958 a(lik) m(e) p 3214 3958 a(the) p 3389 3958
a(free) 0 4079 y(particle.) p 403 4079 a(Hence) p 697
4079 a(the) p 869 4079 a(particle) p 1225 4079 a(do) s(es) p
1449 4079 a(not) p 1627 4079 a(tak) m(e) p 1842 4079
a(momen) m(tum) p 2359 4079 a(around) p Fk 2693 4079
a(\000) 2770 3995 y(p) p 2854 3995 V Fl 2854 4079 a(E) p
2932 4079 a(!) p Fm 2993 4094 a(1) p Fp 3032 4079 a(.) p
3115 4079 a(If) p 3217 4079 a(w) m(e) p 3364 4079 a(tak) m(e) 0
4199 y(accoun) m(t) p 360 4199 a(of) p 471 4199 a(these) p
721 4199 a(facts,) p 979 4199 a(then) p 1201 4199 a(w) m(e) p
1345 4199 a(ha) m(v) m(e) 966 4417 y(\() p Fl(R) p Fp
1079 4417 a(\() p Fl(E) p Fp 1217 4417 a(+) p Fl 1315
4417 a(i) p Fp(0;) p Fl 1441 4417 a(H) p Fi 1522 4432
a(b) p Fp 1556 4417 a(\)) p Fl(\037) p Fm 1655 4432 a(22+) p
Fl 1785 4417 a(v) p Fi 1832 4432 a(") p Fl 1869 4417
a(;) p 1913 4417 a(\037) p Fm 1974 4432 a(22+) p Fp 2107
4417 a(~) p Fl 2103 4417 a(v) p Fi 2150 4432 a(") p Fd
2183 4413 a(0) p Fp 2209 4417 a(\)) p 2275 4417 a(=) p
Fl 2379 4417 a(o) p Fp(\(1\)) p Fl(:) p Fp 0 4635 a(In) p
134 4635 a(fact,) p 369 4635 a(this) p 572 4635 a(can) p
763 4635 a(b) s(e) p 908 4635 a(sho) m(wn) p 1217 4635
a(in) p 1343 4635 a(almost) p 1670 4635 a(the) p 1851
4635 a(same) p 2107 4635 a(w) m(a) m(y) p 2318 4635 a(as) p
2450 4635 a(used) p 2685 4635 a(to) p 2817 4635 a(pro) m(v) m(e) p
3092 4635 a(\(4.10\)) p 3386 4635 a(and) 0 4755 y(\(4.11\),) p
306 4755 a(and) p 491 4755 a(the) p 655 4755 a(argumen) m(t) p
1087 4755 a(is) p 1181 4755 a(based) p 1448 4755 a(on) p
1580 4755 a(the) p 1743 4755 a(construction) p 2298 4755
a(of) p 2405 4755 a(appro) m(ximation) p 3051 4755 a(to) p
3166 4755 a(resolv) m(en) m(t) p Fl 0 4876 a(R) p Fp
75 4876 a(\() p Fl(E) p Fk 216 4876 a(\006) p Fl 318
4876 a(i) p Fp(0;) p Fl 444 4876 a(H) p Fi 525 4891 a(b) p
Fp 558 4876 a(\)) p 632 4876 a(\(see) p 831 4876 a(\(3.29\)) p
1117 4876 a(for) p 1269 4876 a(example\).) p 1737 4876
a(Th) m(us) p 1988 4876 a(it) p 2089 4876 a(follo) m(ws) p
2413 4876 a(that) p 2628 4876 a(the) p 2799 4876 a(terms) p
Fl 3074 4876 a(f) p Fi 3122 4891 a(l) q(m;"") p Fd 3292
4872 a(0) p Fp 3354 4876 a(with) p Fl 0 4996 a(l) p Fp
59 4996 a(=) p 162 4996 a(2) p 244 4996 a(or) p Fl 363
4996 a(m) p Fp 476 4996 a(=) p 580 4996 a(2) p 661 4996
a(are) p 823 4996 a(all) p 959 4996 a(negligible.) 146
5166 y(W) p 238 5166 a(e) p 319 5166 a(here) p 535 5166
a(sum) p 746 5166 a(up) p 891 5166 a(the) p 1064 5166
a(results) p 1378 5166 a(whic) m(h) p 1662 5166 a(ha) m(v) m(e) p
1892 5166 a(b) s(een) p 2126 5166 a(obtained) p 2532
5166 a(so) p 2656 5166 a(far.) p 2857 5166 a(W) p 2949
5166 a(e) p 3030 5166 a(use) p 3203 5166 a(the) p 3375
5166 a(new) 0 5286 y(notation) p Fl 399 5504 a(u) p Fm
455 5519 a(2) p Fi(") p Fp 554 5504 a(=) p Fl 657 5504
a(e) p Fh 702 5463 a(\000) p Fi(i") p Ff 814 5472 a(1) p
Fi 849 5463 a(\013) p Ff 894 5472 a(1) p Fi 929 5463
a(\031) p Fl 976 5504 a(e) p Fh 1021 5463 a(\000) p Fi(i") p
Ff 1133 5472 a(2) p Fi 1167 5463 a(\013) p Ff 1212 5472
a(2) p Fi 1247 5463 a(\031) p Fp 1311 5504 a(\() p Fl(@) p
Fm 1400 5519 a(1) p Fl 1439 5504 a(e) p Fm 1484 5519
a(2) p Fp 1524 5504 a(\)) p 1579 5504 a(\() p Fl(x) p
Fp(\)) p Fl(;) p 1949 5504 a(\021) p Fm 1997 5519 a(2) p
Fi(") p Fp 2097 5504 a(=) p 2200 5504 a(2) p Fl(i) p
Fk 2282 5415 a(p) p 2365 5415 V Fl 2365 5504 a(E) p 2443
5504 a(\037) p Fm 2504 5519 a(12) p Fi(") p Ff 2607 5528
a(2) p Fp 2646 5504 a(\() p Fl(x) p Fm 2739 5519 a(2) p
Fp 2779 5504 a(\)) p Fl(\032) p Fm 2867 5519 a(1) p Fi(") p
Ff 2935 5528 a(1) p Fp 2974 5504 a(\() p Fl(x) p Fm 3067
5519 a(2) p Fp 3107 5504 a(\)) 1723 5753 y(38) p 90 rotate
dyy eop
%%Page: 39 39
39 38 bop Fp 0 407 a(for) p Fl 149 407 a(") p Fp 222
407 a(=) p 326 407 a(\() p Fl(") p Fm 410 422 a(1) p
Fl 449 407 a(;) p 493 407 a(") p Fm 539 422 a(2) p Fp
578 407 a(\)) p Fk 643 407 a(2) p Fl 737 407 a(Z) p Fk
833 407 a(\002) p Fl 933 407 a(Z) p Fp 1007 407 a(.) p
1077 407 a(Then) p Fl 1332 407 a(f) p Fi 1380 422 a(d) p
Fp 1453 407 a(b) s(eha) m(v) m(es) p 1817 407 a(lik) m(e) p
Fl 322 623 a(f) p Fi 370 638 a(d) p Fk 494 623 a(\030) p
Fl 655 623 a(f) p Fm 703 638 a(1) p Fp 742 623 a(\() p
Fl(!) p Fm 841 638 a(1) p Fk 908 623 a(!) p 1035 623
a(\000) p Fl(!) p Fm 1173 638 a(1) p Fp 1213 623 a(;) p
Fl 1257 623 a(E) p Fp 1335 623 a(\)) p 1395 623 a(+) p
1493 623 a(\(cos) p Fl 1678 623 a(\013) p Fm 1740 638
a(1) p Fl 1779 623 a(\031) p Fp 1838 623 a(\)) p Fm 1876
575 a(2) p Fl 1932 623 a(f) p Fm 1980 638 a(2) p Fp 2020
623 a(\() p Fl(!) p Fm 2119 638 a(1) p Fk 2186 623 a(!) p
2313 623 a(\000) p Fl(!) p Fm 2451 638 a(1) p Fp 2490
623 a(;) p Fl 2534 623 a(E) p Fp 2612 623 a(\)) 495 768
y(+) p 655 768 a(\() p Fl(ic) p Fp(\() p Fl(E) p Fp 884
768 a(\)) p Fl(=) p Fp(4) p Fl(\031) p Fp 1079 768 a(\)) p
Fj 1230 685 a(X) p Fi 1133 870 a(";") p Fd 1219 851 a(0) p
Fh 1240 870 a(2) p Fi(Z) p Fh 1340 870 a(\002) p Fi(Z) p
Fp 1447 768 a(\() p Fl(R) p Fp 1560 768 a(\() p Fl(E) p
Fp 1698 768 a(+) p Fl 1796 768 a(i) p Fp(0;) p Fl 1922
768 a(H) p Fm 2003 783 a(3) p Fp 2042 768 a(\)) p Fl(e) p
Fi 2125 727 a(i\022) p Ff 2182 736 a(3) p Fl 2221 768
a(\021) p Fm 2269 783 a(2) p Fi(") p Fl 2341 768 a(u) p
Fm 2397 783 a(2) p Fi(") p Fl 2468 768 a(') p Fm 2532
783 a(0) p Fl 2572 768 a(;) p 2616 768 a(e) p Fi 2661
727 a(i\022) p Ff 2718 736 a(3) p 2756 716 52 4 v Fl
2756 768 a(\021) p Fm 2808 792 a(2) p Fi(") p Fd 2876
773 a(0) p Fl 2903 768 a(u) p Fm 2959 783 a(2) p Fi(") p
Fd 3027 764 a(0) p 3052 716 64 4 v Fl 3052 768 a(') p
Fm 3116 792 a(0) p Fp 3156 768 a(\)) p Fl(:) p Fp 3343
768 a(\(7.5\)) 146 1071 y(W) p 238 1071 a(e) p 318 1071
a(pro) s(ceed) p 683 1071 a(to) p 806 1071 a(the) p 978
1071 a(\014nal) p 1199 1071 a(step.) p 1455 1071 a(W) p
1547 1071 a(e) p 1627 1071 a(calculate) p 2038 1071 a(the) p
2210 1071 a(co) s(e\016cien) m(t) p 2669 1071 a(of) p
Fl 2784 1071 a(f) p Fm 2832 1086 a(3) p Fp 2872 1071
a(\() p Fl(!) p Fm 2971 1086 a(1) p Fk 3045 1071 a(!) p
3179 1071 a(\000) p Fl(!) p Fm 3317 1086 a(1) p Fp 3357
1071 a(;) p Fl 3401 1071 a(E) p Fp 3479 1071 a(\).) 0
1191 y(If) p 98 1191 a(w) m(e) p 241 1191 a(mak) m(e) p
496 1191 a(use) p 664 1191 a(of) p 775 1191 a(the) p
943 1191 a(relation) 1085 1407 y(\() p Fl(H) p Fm 1204
1422 a(3) p Fk 1265 1407 a(\000) p Fl 1365 1407 a(E) p
Fp 1443 1407 a(\)) p Fl(e) p Fi 1526 1366 a(i\022) p
Ff 1583 1375 a(3) p Fl 1621 1407 a(e) p Fm 1666 1422
a(3) p Fp 1734 1407 a(=) p Fl 1837 1407 a(e) p Fi 1882
1366 a(i\022) p Ff 1939 1375 a(3) p Fp 1978 1407 a(\() p
Fl(H) p Fm 2097 1422 a(0) p Fk 2159 1407 a(\000) p Fl
2258 1407 a(E) p Fp 2336 1407 a(\)) p Fl(e) p Fm 2419
1422 a(3) p Fp 0 1624 a(and) p 190 1624 a(if) p 279 1624
a(w) m(e) p 423 1624 a(rep) s(eat) p 723 1624 a(the) p
891 1624 a(same) p 1136 1624 a(argumen) m(t) p 1572 1624
a(as) p 1692 1624 a(ab) s(o) m(v) m(e,) p 1995 1624 a(then) p
2218 1624 a(w) m(e) p 2361 1624 a(obtain) p 2665 1624
a(from) p 2895 1624 a(\(7.5\)) p 3128 1624 a(that) p
Fl 349 1840 a(f) p Fi 397 1855 a(d) p Fk 465 1840 a(\030) p
Fl 570 1840 a(f) p Fm 618 1855 a(1) p Fp 680 1840 a(+) p
778 1840 a(\(cos) p Fl 963 1840 a(\013) p Fm 1025 1855
a(1) p Fl 1065 1840 a(\031) p Fp 1124 1840 a(\)) p Fm
1161 1792 a(2) p Fl 1217 1840 a(f) p Fm 1265 1855 a(2) p
Fp 1327 1840 a(+) p 1425 1840 a(\() p Fl(ic) p Fp(\() p
Fl(E) p Fp 1654 1840 a(\)) p Fl(=) p Fp(4) p Fl(\031) p
Fp 1849 1840 a(\)) p Fj 2000 1757 a(X) p Fi 1903 1942
a(";") p Fd 1989 1923 a(0) p Fh 2010 1942 a(2) p Fi(Z) p
Fh 2110 1942 a(\002) p Fi(Z) p Fp 2217 1840 a(\() p Fl(R) p
Fp 2330 1840 a(\() p Fl(E) p Fp 2468 1840 a(+) p Fl 2566
1840 a(i) p Fp(0;) p Fl 2692 1840 a(H) p Fm 2773 1855
a(3) p Fp 2812 1840 a(\)) p Fl(w) p Fi 2920 1855 a(") p
Fl 2957 1840 a(;) p Fp 3021 1840 a(~) p Fl 3001 1840
a(w) p Fi 3071 1855 a(") p Fd 3104 1836 a(0) p Fp 3129
1840 a(\)) p Fl(;) p Fp 0 2137 a(where) p Fl 282 2137
a(w) p Fi 352 2152 a(") p Fp 421 2137 a(and) p 630 2137
a(~) p Fl 610 2137 a(w) p Fi 680 2152 a(") p Fp 749 2137
a(are) p 912 2137 a(giv) m(en) p 1167 2137 a(b) m(y) p
Fl 881 2353 a(w) p Fi 951 2368 a(") p Fp 1070 2353 a(=) p
Fl 1229 2353 a(e) p Fi 1274 2312 a(i\022) p Ff 1331 2321
a(3) p Fp 1370 2353 a([) p Fl(H) p Fm 1478 2368 a(0) p
Fl 1517 2353 a(;) p 1561 2353 a(e) p Fm 1606 2368 a(3) p
Fp 1646 2353 a(]) p Fl(R) p Fp 1748 2353 a(\() p Fl(E) p
Fp 1886 2353 a(+) p Fl 1984 2353 a(i) p Fp(0;) p Fl 2110
2353 a(H) p Fm 2191 2368 a(0) p Fp 2230 2353 a(\)) p
Fl(\021) p Fm 2316 2368 a(2) p Fi(") p Fl 2388 2353 a(u) p
Fm 2444 2368 a(2) p Fi(") p Fl 2516 2353 a(') p Fm 2580
2368 a(0) p Fl 2619 2353 a(;) p Fp 901 2498 a(~) p Fl
881 2498 a(w) p Fi 951 2513 a(") p Fp 1070 2498 a(=) p
Fl 1229 2498 a(e) p Fi 1274 2457 a(i\022) p Ff 1331 2466
a(3) p Fp 1370 2498 a([) p Fl(H) p Fm 1478 2513 a(0) p
Fl 1517 2498 a(;) p 1561 2498 a(e) p Fm 1606 2513 a(3) p
Fp 1646 2498 a(]) p Fl(R) p Fp 1748 2498 a(\() p Fl(E) p
Fk 1886 2498 a(\000) p Fl 1986 2498 a(i) p Fp(0;) p Fl
2112 2498 a(H) p Fm 2193 2513 a(0) p Fp 2232 2498 a(\)) p
2270 2445 52 4 v Fl(\021) p Fm 2321 2522 a(2) p Fi(") p
Fl 2393 2498 a(u) p Fm 2449 2513 a(2) p Fi(") p 2521
2445 64 4 v Fl 2521 2498 a(') p Fm 2585 2522 a(0) p Fl
2624 2498 a(:) p Fp 0 2715 a(W) p 92 2715 a(e) p 168
2715 a(decomp) s(ose) p 659 2715 a(the) p 827 2715 a(third) p
1071 2715 a(term) p 1304 2715 a(on) p 1439 2715 a(the) p
1607 2715 a(righ) m(t) p 1843 2715 a(side) p 2039 2715
a(in) m(to) p 2237 2715 a(the) p 2405 2715 a(sum) p 2611
2715 a(of) p Fl 374 2931 a(g) p Fi 421 2946 a(l) q(m;"") p
Fd 591 2927 a(0) p Fp 644 2931 a(=) p 748 2931 a(\() p
Fl(ic) p Fp(\() p Fl(E) p Fp 977 2931 a(\)) p Fl(=) p
Fp(4) p Fl(\031) p Fp 1172 2931 a(\)\() p Fl(R) p Fp
1323 2931 a(\() p Fl(E) p Fp 1460 2931 a(+) p Fl 1558
2931 a(i) p Fp(0;) p Fl 1684 2931 a(H) p Fm 1765 2946
a(3) p Fp 1804 2931 a(\)) p Fl(\037) p Fi 1903 2946 a(l) p
Fm 1925 2946 a(3) p Fl 1965 2931 a(w) p Fi 2035 2946
a(") p Fl 2071 2931 a(;) p 2115 2931 a(\037) p Fi 2176
2946 a(m) p Fm(3) p Fp 2298 2931 a(~) p Fl 2278 2931
a(w) p Fi 2348 2946 a(") p Fd 2381 2927 a(0) p Fp 2407
2931 a(\)) p Fl(;) p Fp 2586 2931 a(0) p Fk 2662 2931
a(\024) p Fl 2768 2931 a(l) r(;) p 2875 2931 a(m) p Fk
2988 2931 a(\024) p Fp 3093 2931 a(2) p Fl(;) p Fp 0
3147 a(for) p 158 3147 a(eac) m(h) p Fl 386 3147 a(";) p
516 3147 a(") p Fh 562 3111 a(0) p Fk 628 3147 a(2) p
Fl 737 3147 a(Z) p Fk 839 3147 a(\002) p Fl 944 3147
a(Z) p Fp 1018 3147 a(.) p 1114 3147 a(Then) p 1378 3147
a(the) p 1555 3147 a(leading) p 1899 3147 a(term) p 2141
3147 a(comes) p 2437 3147 a(from) p Fl 2676 3147 a(g) p
Fm 2723 3162 a(00) p Fi(;"") p Fd 2879 3143 a(0) p Fp
2946 3147 a(and) p 3144 3147 a(the) p 3321 3147 a(other) 0
3268 y(terms) p 274 3268 a(are) p 440 3268 a(sho) m(wn) p
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2402 4182 a(de\014nition,) p Fl 2863 4182 a(\032) p Fm
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791 4408 a(2) p Fl(i) p Fk 873 4319 a(p) p 956 4319 79
4 v Fl 956 4408 a(E) p Fp 1051 4408 a(\() p Fl(Y) p 1167
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2086 4319 V Fl 2086 4408 a(E) p Fp 2164 4408 a(\)) p
Fm 2202 4367 a(2) p Fp 2258 4408 a(\() p Fl(Y) p Fp 2391
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Fm 2771 4423 a(11) p Fi(") p Ff 2874 4432 a(1) p Fp 2913
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407 4639 a(1) p Fl 446 4624 a(;) p 490 4624 a(") p Fm
536 4639 a(2) p Fp 574 4624 a(\)) p Fk 640 4624 a(2) p
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a(cd) p Fi 2000 4588 a(\033) p Fp 2076 4624 a(for) p
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Fp 2922 4624 a(=) p 3025 4624 a(\(+) p Fl(;) p Fp 3183
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Fm 50 4760 a(2) p Fi(") p Fp 122 4745 a(\() p Fl(x) p
Fm 215 4760 a(2) p Fp 255 4745 a(\)) p 326 4745 a(b) s(eha) m(v) m(es) p
689 4745 a(lik) m(e) 81 4998 y(\(2) p Fl(i) p Fk 201
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Fm 695 4957 a(2) p Fl 734 4998 a(d) p Fh 785 4957 a(\000) p
Fm(1) p Fj 896 4881 a(Z) p Fh 979 4908 a(1) p Fm 942
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4979 y(2) p Fi 1444 4957 a(=) p Fm(2) p Fj 1535 4877
a(\022) 1597 4881 y(Z) p Fh 1680 4908 a(1) p Fm 1643
5070 a(0) p Fl 1771 4998 a(e) p Fi 1816 4957 a(id) p
Fd 1876 4934 a(\000) p Ff(1) p Fh 1959 4901 a(p) p 2018
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Ff 2133 4966 a(2) p Fh 2168 4957 a(\000) p Fi(y) p Ff
2258 4966 a(2) p Fm 2293 4957 a(\)) p Ff 2320 4934 a(2) p
Fi 2355 4957 a(=) p Fm(2) p Fl 2446 4998 a(dz) p Fm 2542
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Fm(1) p Fi(=) p Fm(2+2) p Fi(\033) p Fp 3397 4998 a(\)) p
Fl(:) p Fp 0 5247 a(Hence) p 290 5247 a(w) m(e) p 434
5247 a(ha) m(v) m(e) p Fl 232 5475 a(\032) p Fm 282 5490
a(2) p Fi(") p Fp 354 5475 a(\() p Fl(x) p Fm 447 5490
a(2) p Fp 487 5475 a(\)) p 553 5475 a(=) p 656 5475 a(\(2) p
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a(E) p Fp 937 5475 a(\)) p Fm 975 5434 a(2) p Fl 1015
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Fl(E) p Fp 1232 5475 a(\)) p Fm 1270 5434 a(2) p Fj 1326
5358 a(Z) p Fh 1409 5385 a(1) p Fm 1372 5547 a(0) p Fl
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Fl 2071 5475 a(e) p Fi 2116 5434 a(i) p Fh 2140 5378
a(p) p 2199 5378 V Fi 2199 5434 a(E) s(s) p Ff 2287 5411
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Fj 2510 5354 a(\023) p Fl 2604 5475 a(dt) p Fp 2712 5475
a(+) p Fl 2810 5475 a(O) p Fp 2888 5475 a(\() p Fl(d) p
Fh 2977 5434 a(\000) p Fm(1) p Fi(=) p Fm(2+2) p Fi(\033) p
Fp 3273 5475 a(\)) 1723 5753 y(39) p 90 rotate dyy eop
%%Page: 40 40
40 39 bop Fp 0 407 a(b) m(y) p 140 407 a(making) p 489
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407 a(ariables,) p 1369 407 a(so) p 1493 407 a(that) p
Fl 1709 407 a(\032) p Fm 1759 422 a(2) p Fi(") p Fp 1867
407 a(=) p 1978 407 a(3) p Fl(=) p Fp(8) p 2149 407 a(+) p
Fl 2251 407 a(O) p Fp 2329 407 a(\() p Fl(d) p Fh 2418
371 a(\000) p Fm(1) p Fi(=) p Fm(2+2) p Fi(\033) p Fp
2714 407 a(\)) p 2789 407 a(b) m(y) p 2929 407 a(use) p
3102 407 a(of) p 3218 407 a(form) m(ula) 0 527 y(\(7.4\).) p
270 527 a(Similarly) p Fl 682 527 a(\032) p Fm 732 542
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a(w) m(e) p 1662 648 a(obtain) p 1965 648 a(that) p Fj
327 785 a(X) p Fi 284 970 a(";") p Fd 370 951 a(0) p
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Fp 869 868 a(\() p Fl(\022) p Fm 952 883 a(+) p Fp 1028
868 a(cos\() p Fl(\013) p Fm 1258 883 a(1) p Fp 1320
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1519 868 a(\)) p Fl(\031) p Fp 1638 868 a(+) p Fl 1736
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2249 868 a(\013) p Fm 2311 883 a(2) p Fp 2351 868 a(\)) p
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a(\000) p Fl(!) p Fm 3060 883 a(1) p Fp 3100 868 a(;) p
Fl 3144 868 a(E) p Fp 3222 868 a(\)) 0 1173 y(with) p
Fl 218 1173 a(\022) p Fm 263 1188 a(+) p Fp 351 1173
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Fl 815 1173 a(\022) p Fh 860 1188 a(\000) p Fp 947 1173
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1486 1173 a(yields) p 1756 1173 a(the) p 1920 1173 a(desired) p
2248 1173 a(co) s(e\016cien) m(t) p 2699 1173 a(and) p
2885 1173 a(the) p 3049 1173 a(pro) s(of) p 3300 1173
a(of) p 3408 1173 a(the) 0 1294 y(theorem) p 379 1294
a(is) p 477 1294 a(no) m(w) p 681 1294 a(completed.) 146
1464 y(W) p 238 1464 a(e) p 323 1464 a(conclude) p 733
1464 a(the) p 909 1464 a(pap) s(er) p 1192 1464 a(b) m(y) p
1336 1464 a(stating) p 1671 1464 a(that) p 1891 1464
a(the) p 2067 1464 a(argumen) m(t) p 2512 1464 a(used) p
2744 1464 a(in) p 2866 1464 a(the) p 3043 1464 a(sp) s(ecial) p
3369 1464 a(case) p Fl 0 1584 a(N) p Fp 123 1584 a(=) p
234 1584 a(3) p 320 1584 a(extends) p 680 1584 a(to) p
803 1584 a(the) p 975 1584 a(general) p 1316 1584 a(case) p
1527 1584 a(without) p 1894 1584 a(an) m(y) p 2082 1584
a(serious) p 2408 1584 a(di\016cult) m(y) p 2772 1584
a(,) p 2838 1584 a(although) p 3249 1584 a(w) m(e) p
3397 1584 a(can) 0 1705 y(not) p 173 1705 a(represen) m(t) p
594 1705 a(the) p 761 1705 a(co) s(e\016cien) m(ts) p
1255 1705 a(of) p 1366 1705 a(amplitudes) p Fl 1865 1705
a(f) p Fi 1913 1720 a(j) p Fp 1949 1705 a(\() p Fl(!) p
Fm 2048 1720 a(1) p Fk 2115 1705 a(!) p 2243 1705 a(\000) p
Fl(!) p Fm 2381 1720 a(1) p Fp 2420 1705 a(;) p Fl 2464
1705 a(E) p Fp 2542 1705 a(\)) p Fl(;) p Fp 2656 1705
a(1) p Fk 2732 1705 a(\024) p Fl 2838 1705 a(j) p Fk
2911 1705 a(\024) p Fl 3016 1705 a(N) p Fp 3104 1705
a(,) p 3164 1705 a(in) p 3278 1705 a(a) p 3359 1705 a(neat) 0
1825 y(form.) p Fq 1509 2219 a(References) p Fp 92 2605
a([1]) p 244 2605 a(R.) p 381 2605 a(Adami) p 704 2605
a(and) p 900 2605 a(A.) p 1038 2605 a(T) p 1100 2605
a(eta,) p 1298 2605 a(On) p 1466 2605 a(the) p 1640 2605
a(Aharono) m(v{Bohm) p 2395 2605 a(Hamiltonian,) p Fo
3037 2605 a(L) p 3093 2605 a(ett.) p 3294 2605 a(Math.) 244
2725 y(Phys.) p Fq 523 2725 a(43) p Fp 668 2725 a(\(1998\),) p
999 2725 a(43{53.) 92 2929 y([2]) p 244 2929 a(G.) p
392 2929 a(N.) p 536 2929 a(Afanasiev,) p Fo 1025 2929
a(T) p 1088 2929 a(op) p 1183 2929 a(olo) p 1303 2929
a(gic) p 1418 2929 a(al) p 1536 2929 a(E\013e) p 1702
2929 a(cts) p 1865 2929 a(in) p 1995 2929 a(Quantum) p
2436 2929 a(Me) p 2563 2929 a(chanics) p Fp(,) p 2998
2929 a(Klu) m(w) m(er) p 3346 2929 a(Aca-) 244 3049 y(demic) p
526 3049 a(Publishers,) p 1027 3049 a(1999.) 92 3252
y([3]) p 244 3252 a(Y.) p 384 3252 a(Aharono) m(v) p
839 3252 a(and) p 1037 3252 a(D.) p 1179 3252 a(Bohm,) p
1502 3252 a(Signi\014cance) p 2041 3252 a(of) p 2159
3252 a(electromagnetic) p 2866 3252 a(p) s(oten) m(tial) p
3286 3252 a(in) p 3408 3252 a(the) 244 3373 y(quan) m(tum) p
656 3373 a(theory) p 921 3373 a(,) p Fo 981 3373 a(Phys.) p
1259 3373 a(R) p 1325 3373 a(ev.) p Fq 1491 3373 a(115) p
Fp 1691 3373 a(\(1959\),) p 2022 3373 a(485{491.) 92
3576 y([4]) p 244 3576 a(L.) p 358 3576 a(Dabro) m(wski) p
834 3576 a(and) p 1017 3576 a(P) p 1075 3576 a(.) p 1129
3576 a(Sto) m(vicek,) p 1539 3576 a(Aharono) m(v{Bohm) p
2282 3576 a(e\013ect) p 2533 3576 a(with) p Fl 2749 3576
a(\016) p Fp 2796 3576 a({t) m(yp) s(e) p 3058 3576 a(in) m(teraction,)
p Fo 244 3697 a(J.) p 360 3697 a(Math.) p 654 3697 a(Phys.) p
Fq 933 3697 a(39) p Fp 1078 3697 a(\(1998\),) p 1409
3697 a(47{62.) 92 3900 y([5]) p 244 3900 a(H.) p 372
3900 a(Isozaki) p 694 3900 a(and) p 879 3900 a(H.) p
1008 3900 a(Kitada,) p 1357 3900 a(A) p 1458 3900 a(remark) p
1788 3900 a(on) p 1919 3900 a(the) p 2083 3900 a(micro{lo) s(cal) p
2596 3900 a(resolv) m(en) m(t) p 3002 3900 a(estimates) p
3427 3900 a(for) 244 4020 y(t) m(w) m(o) p 436 4020 a(b) s(o) s(dy) p
690 4020 a(Sc) m(hr\177) p 876 4020 a(odinger) p 1231
4020 a(op) s(erators,) p Fo 1699 4020 a(Publ.) p 1959
4020 a(RIMS,) p 2282 4020 a(Kyoto) p 2578 4020 a(Univ.) p
Fq 2856 4020 a(21) p Fp 3008 4020 a(\(1985\),) p 3348
4020 a(889{) 244 4141 y(910.) 92 4344 y([6]) p 244 4344
a(H.) p 381 4344 a(Isozaki) p 711 4344 a(and) p 905 4344
a(H.) p 1042 4344 a(Kitada,) p 1400 4344 a(Scattering) p
1870 4344 a(matrices) p 2265 4344 a(for) p 2418 4344
a(t) m(w) m(o{b) s(o) s(dy) p 2870 4344 a(Sc) m(hr\177) p
3056 4344 a(odinger) p 3408 4344 a(op-) 244 4465 y(erators,) p
Fo 597 4465 a(Sci.) p 791 4465 a(Pap) p 952 4465 a(ers) p
1112 4465 a(Col) p 1262 4465 a(l.) p 1351 4465 a(of) p
1466 4465 a(A) n(rts) p 1684 4465 a(and) p 1873 4465
a(Sci.,) p 2098 4465 a(T) p 2161 4465 a(okyo) p 2387
4465 a(Univ.) p Fq 2665 4465 a(35) p Fp 2809 4465 a(\(1985\),) p
3140 4465 a(81{107.) 92 4668 y([7]) p 244 4668 a(H.) p
381 4668 a(T.) p 515 4668 a(Ito) p 673 4668 a(and) p
867 4668 a(H.) p 1004 4668 a(T) p 1066 4668 a(am) m(ura,) p
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@endspecial Fp 0 1994 a(Figure) p 308 1994 a(1) p Fl
486 1994 a(\013) p Fm 548 2009 a(1) p Fp 616 1994 a(=) p
719 1994 a(1) p Fl(=) p Fp(4) p Fl(;) p 942 1994 a(\013) p
Fm 1004 2009 a(2) p Fp 1071 1994 a(=) p 1175 1994 a(1) p
Fl(=) p Fp(4) p Fl(;) p 1398 1994 a(\013) p Fm 1460 2009
a(3) p Fp 1527 1994 a(=) p 1631 1994 a(1) p Fl(=) p Fp(2) 0
3593 y @beginspecial 88 @llx 4 @lly 376 @urx 182 @ury
2880 @rwi @setspecial
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	translate
	/Mtmatrix
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	currentmatrix
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	Mgmatrix setmatrix
	Mshowa
	/Mtmatrix
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	/Mrot 0 def
} bind def
/Mshowa {
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	moveto
	2 index
	Mtmatrix setmatrix
	Mvboxa
	7 1 roll
	Mboxout
	6 -1 roll
	5 -1 roll
	4 -1 roll
	Mshowa1
	4 1 roll
	Mshowa1
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	{
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	{
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	Mgmatrix setmatrix
} bind def
/Mshowax {
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        4 index
        2 index
        get
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	0 1
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	-1 add
	{
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	4 index
	2 index
	get
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	moveto
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	[
	6 index
	aload
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	-1 roll
	{
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/Mwidthcal {
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	[
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	{
	[
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	{
	1 index
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	forall
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	Maxget
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	for
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} bind def
/Mreva	{
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/Mget	{
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/Maxget	{
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} bind def
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	2 index
	2 index
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	Mlp1
	4 -1 roll
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} bind def
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	4 -1 roll
	Mlprun2
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	3 -1 roll
	Mlprun2
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} bind def
/Mlprun1 {
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	5 -1 roll
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} bind def
/Mlprun2 {
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/Mboxout {
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	4 1 roll
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	leadjust
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	sub
	3 1
	roll
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	leadjust
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	add
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	add
	add
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	cos
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	sin
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	cos
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	pop pop
} bind def
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	4 index
	mul
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	brotaux
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/MBeginOrig { Momatrix concat} bind def
/MEndOrig { Mgmatrix setmatrix} bind def
/sampledsound where
{ pop}
{ /sampledsound {
exch
pop
exch
5 1 roll
mul
4 idiv
mul
2 idiv
exch pop
exch
/Mtempproc exch def
{ Mtempproc pop }
repeat
} bind def
} ifelse
% Here are the short operators
/g { setgray} bind def
/k { setcmykcolor} bind def
/m { moveto} bind def
/p { gsave} bind def
/r { setrgbcolor} bind def
/w { setlinewidth} bind def
/C { curveto} bind def
/F { fill} bind def
/L { lineto} bind def
/P { grestore} bind def
/s { stroke} bind def

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	Mwidth Mheight 	lineto
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/MPlotRegion {
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	translate
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/Mcharproc
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  	currentfile
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  	readhexstring
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/Mshadeproc
{
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	{
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	Mcharproc
	3 1
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	1 eq
	{
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	{
	3 eq
	{
	setrgbcolor
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	{
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/Mrectproc
{
	3 index
	2 index
	moveto
	2 index
	3 -1
	roll
	lineto
	dup
	3 1
	roll
	lineto
	lineto
	fill
} bind def

/_Mcolorimage
{
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	invertmatrix
	concat
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	1 sub
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	1 1
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	{
	1 1
	4 index
	{
	dup
	1 sub
	exch
	2 index
	dup
	1 sub
	exch
	7 index
	9 index
	Mshadeproc
	Mrectproc
	} for
	pop
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	pop pop pop pop
} bind def

/_Mimage
{
	pop
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	invertmatrix
	concat
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	1 sub
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	1 1
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	{
	1 1
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	{
	dup
	1 sub 
	exch
	2 index
	dup
	1 sub
	exch
	7 index
	Mcharproc
	setgray
	Mrectproc
	} for
	pop
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	pop pop pop
} bind def

/Mimage {
	4 index
	4 index
	mul 1600 gt
	{ image }
	{ _Mimage }
	ifelse
} def

/Mcolorimage {
	6 index
	6 index
	mul 1600 gt
	{ colorimage }
	{ _Mcolorimage }
	ifelse
} def
/Mnodistort true def
1.000000 1.000000 scale
88.000000 181.937500 translate
1.000000 -1.000000 scale
0.000000 0.000000 translate
/Mleft		0.000000 def
/Mbottom	0.000000 def
/Mwidth		-1.000000 def
/Mheight	0.000000 def
0 setgray
0 setlinewidth
/Courier findfont 12 scalefont setfont
/Mleft		0.000000 def
/Mbottom	0.000000 def
/Mwidth		288.000000 def
/Mheight	177.937500 def
0 setgray
0 setlinewidth
/Courier findfont 12 scalefont setfont
/Mfontsize 12 def
/Plain /Courier findfont def

%!
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/Mabsadd { Mabs
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[.57968 -0.0125 9 0 ]
[.85252 -0.0125 -9 -9 ]
[.85252 -0.0125 9 0 ]
[1.025 0 0 -6.28125 ]
[1.025 0 100 6.28125 ]
[.0215 .12361 -18 -4.5 ]
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[.0215 .24721 -18 -4.5 ]
[.0215 .24721 0 4.5 ]
[.0215 .37082 -18 -4.5 ]
[.0215 .37082 0 4.5 ]
[.0215 .49443 -18 -4.5 ]
[.0215 .49443 0 4.5 ]
[.0215 .61803 -6 -4.5 ]
[.0215 .61803 0 4.5 ]
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Mistroke
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Mfstroke
% End of Graphics
MathPictureEnd

%%PSTrailer
end
grestore

%%Trailer
%%EOF

%%EndDocument
@endspecial 0 5600 a(Figure) p 308 5600 a(3) p Fl 486
5600 a(\013) p Fm 548 5615 a(1) p Fp 616 5600 a(=) p
719 5600 a(1) p Fl(=) p Fp(4) p Fl(;) p 942 5600 a(\013) p
Fm 1004 5615 a(2) p Fp 1071 5600 a(=) p Fl 1175 5600
a(\031) p Fh 1234 5564 a(\000) p Fm(1) p Fp 1345 5600
a(arctan) p 1632 5600 a(2) p Fl(;) p 1758 5600 a(\013) p
Fm 1820 5615 a(3) p Fp 1887 5600 a(=) p 1991 5600 a(1) p
Fl(=) p Fp(2) 1723 5753 y(42) p 90 rotate dyy eop
%%Trailer
end
userdict /end-hook known{end-hook}if
%%EOF
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