Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients-Reference-Cited by-同舟云学术

Absolutely continuous spectrum for CMV matrices with small quasi-periodic Verblunsky coefficients

Published:2022-06-30 Issue: Volume: Page:
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Li Long,Damanik David,Zhou Qi

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.

Funder

National Science Foundation

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/tran/0000-000-00/S0002-9947-2022-08696-7/tran8696_AM.pdf

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