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 ["Uniform spectral properties of one-dimensional quasicrystals, III. α-continuity," Commun. Math. Phys.55, 191-204 (2000)] about the spectral measure of the discrete Schrödinger operator.

中文翻译：

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扩展 CMV 矩阵的谱测度的 Hölder 连续性

我们证明了关于扩展 CMV 矩阵的谱测度的 Hölder 连续性的结果，给定特征值方程解的幂律界限。因此，我们得出了 Damanik、Killip 和 Lenz [“一维准晶体的均匀光谱特性，III. α-连续性，”Commun。数学。Phys.55, 191-204 (2000)] 关于离散薛定谔算子的谱测量。