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

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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.
25 pages, typos corrected, new material added

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Spectral Theory, Mathematical Physics, 34B20, 34L05, 34L40 (Primary); 34B24, 34B27, 47A10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/160907

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.3177
 http://arxiv.org/abs/0803.3177

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arXiv