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The Hölder continuity of spectral measures of an extended CMV matrix

We prove results about the Hölder 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 Schrödinger operator.

preprint2013arXivOpen access
Paul MungerDarren C. Ong
math-phmath.MPmath.SP
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Paul MungerDarren C. Ong

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