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arxiv: 1301.0501 · v4 · pith:ENUM6MA3new · submitted 2013-01-03 · 🧮 math.SP · math-ph· math.MP

The H\"older continuity of spectral measures of an extended CMV matrix

classification 🧮 math.SP math-phmath.MP
keywords spectralcontinuityextendedmatrixmeasuresolderresultsanalogue
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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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