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

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

2008-03-21

arxiv.org/abs/0803.3177v2

Mathematics

Spectral Theory

25 pages, typos corrected, new material added

Scientific paper

We prove that Jacobi, CMV, and Schr\"odinger 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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