arXiv 0803.31772008-03math.SPmath-phmath.MP

Local Spectral Properties of Reflectionless Jacobi, CMV, and Schrödinger Operators

Fritz Gesztesy, Maxim Zinchenko

备注：: 25 pages, typos corrected, new material added

英文摘要：

We prove that Jacobi, CMV, and Schrödinger operators, which are reflectionless on a homogeneous set E (in the sense of Carleson), under the assumption of a Blaschke-type condition on their discrete spectra accumulating at E, have purely absolutely continuous spectrum on E.

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