03-402 Ali Ben Amor, Christian Remling

Direct and inverse spectral theory of one-dimensional Schr"odinger operators with measures (48K, LaTeX2e) Sep 4, 03

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Abstract. We present a direct and rather elementary method for defining and analyzing one-dimensional Schr\"odinger operators $H=-d^2/dx^2+\mu$ with measures as potentials. The basic idea is to let the (suitably interpreted) equation $-f''+\mu f=zf$ take center stage. We show that the basic results from direct and inverse spectral theory then carry over to Schr\"odinger operators with measures.

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