Hölder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrödinger Operators
Year: 2020
Author: Mei Sun, Xueyin Wang
Analysis in Theory and Applications, Vol. 36 (2020), Iss. 1 : pp. 33–51
Abstract
In the present paper, we prove the $\frac{1}{2}$-Hölder continuity of spectral measures for the $C^{k}$ Schrödinger operators. This result is based on the quantitative almost reducibility and an estimate for the growth of the Schrödinger cocycles in [5].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-0019
Analysis in Theory and Applications, Vol. 36 (2020), Iss. 1 : pp. 33–51
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Schrödinger operator quasi-periodic almost reducibility finitely differentiable.