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A. Fedotov and F. Klopp
Coexistence of different spectral types for almost periodic
Schr{\"o}dinger equations in dimension one
(261K, gzipped Postscript)
ABSTRACT. This paper is an enhanced version of a talk given at the conference
QMath 7 that was held in Prague (Czech Republic), 22-26 June 1998.
It is devoted to the study of almost periodic Schr{\"o}dinger equations
in dimension 1. The main result is the proof of the coexistence of
absolutely continuous and singular spectrum for such equations. We
also give a criterion for the existence of absolutely continuous and
singular spectrum.