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Volume 36, Issue 1
Hölder Continuity of Spectral Measures for the Finitely Differentiable Quasi-Periodic Schrödinger Operators

Mei Sun & Xueyin Wang

Anal. Theory Appl., 36 (2020), pp. 33-51.

Published online: 2020-05

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  • 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].

  • AMS Subject Headings

52B10, 65D18, 68U05, 68U07

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

sunm@ujs.edu.cn (Mei Sun)

2889190407@qq.com (Xueyin Wang)

  • BibTex
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  • TXT
@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].

Sun , Mei and Wang , Xueyin. (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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