title: 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 one-dimensional quasicrystals, III. α-continuity," Commun. Math. Phys.55, 191-204 (2000)] about the spectral measure of the discrete Schrödinger operator.
authors.affiliation: Department of Mathematics, Rice University , Houston, Texas 77005-1892, USA.
authors.forename: Paul E
authors.initials: PE
authors.lastname: Munger
authors.affiliation: Department of Mathematics, University of Oklahoma , Norman, Oklahoma 73019-3103, USA.
authors.forename: Darren C
authors.initials: DC
authors.lastname: Ong