The Hölder continuity of spectral measures of an extended CMV matrix

Paul Munger, Darren C. Ong

Type: Article

Publication Date: 2014-09-01

Citations: 13

DOI: https://doi.org/10.1063/1.4895762

Abstract

We prove results about the H\"older continuity of the spectral measures of the extended CMV matrix, given power law bounds of the solution of the eigenvalue equation. We thus arrive at a unitary analogue of the results of Damanik, Killip and Lenz about the spectral measure of the discrete Schr\"odinger operator.

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+	Resistance of one-dimensional quasicrystals	1992	Bruno Iochum Laurent Raymond D. Testard
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+	Power Law Subordinacy and Singular Spectra.¶II. Line Operators	2000	Svetlana Jitomirskaya Yoram Last