Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients
Date
2022
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American Mathematical Society
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.
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Li, Long, Damanik, David and Zhou, Qi. "Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients." Transactions of the American Mathematical Society, 375, no. 9 (2022) American Mathematical Society: 6093-6125. https://doi.org/10.1090/tran/8696.
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This pre-print is distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) license