Absolutely Continuous Spectrum for CMV Matrices With Small Quasi-Periodic Verblunsky Coefficients
Spectral Theory
2021-02-02 v1 Classical Analysis and ODEs
Dynamical Systems
Abstract
We consider standard and extended CMV matrices with small quasi-periodic Verblunsky coefficients and show that on their essential spectrum, all spectral measures are purely absolutely continuous. This answers a question of Barry Simon from 2005.
Keywords
Cite
@article{arxiv.2102.00586,
title = {Absolutely Continuous Spectrum for CMV Matrices With Small Quasi-Periodic Verblunsky Coefficients},
author = {Long Li and David Damanik and Qi Zhou},
journal= {arXiv preprint arXiv:2102.00586},
year = {2021}
}
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38 pages