Hölder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrödinger Operators
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@Article{ATA-36-33,
author = {Sun , Mei and Wang , Xueyin},
title = {Hölder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrödinger Operators},
journal = {Analysis in Theory and Applications},
year = {2020},
volume = {36},
number = {1},
pages = {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].
}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-0019}, url = {http://global-sci.org/intro/article_detail/ata/16912.html} }
TY - JOUR
T1 - Hölder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrödinger Operators
AU - Sun , Mei
AU - Wang , Xueyin
JO - Analysis in Theory and Applications
VL - 1
SP - 33
EP - 51
PY - 2020
DA - 2020/05
SN - 36
DO - http://doi.org/10.4208/ata.OA-0019
UR - https://global-sci.org/intro/article_detail/ata/16912.html
KW - Schrödinger operator, quasi-periodic, almost reducibility, finitely differentiable.
AB -
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].
Mei Sun & Xueyin Wang. (2020). Hölder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrödinger Operators.
Analysis in Theory and Applications. 36 (1).
33-51.
doi:10.4208/ata.OA-0019
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