Local Spectral Properties of Reflectionless Jacobi, CMV, and Schr\"odinger Operators
Spectral Theory
2008-05-15 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0803.3177,
title = {Local Spectral Properties of Reflectionless Jacobi, CMV, and Schr\"odinger Operators},
author = {Fritz Gesztesy and Maxim Zinchenko},
journal= {arXiv preprint arXiv:0803.3177},
year = {2008}
}
Comments
25 pages, typos corrected, new material added