The Hölder continuity of spectral measures of an extended CMV matrix
Abstract
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 onedimensional quasicrystals, III. αcontinuity," Commun. Math. Phys. 212, 191204 (2000)] about the spectral measure of the discrete Schrödinger operator.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 September 2014
 DOI:
 10.1063/1.4895762
 arXiv:
 arXiv:1301.0501
 Bibcode:
 2014JMP....55i3507M
 Keywords:

 Mathematics  Spectral Theory;
 Mathematical Physics
 EPrint:
 8 pages