Weyl-Titchmarsh Theory for CMV Operators Associated with Orthogonal Polynomials on the Unit Circle
Spectral Theory
2008-10-02 v2 Mathematical Physics
math.MP
Abstract
We provide a detailed treatment of Weyl-Titchmarsh theory for half-lattice and full-lattice Cantero-Moral-Velazquez (CMV) operators and discuss their systems of orthonormal Laurent polynomials on the unit circle, spectral functions, variants of Weyl--Titchmarsh functions, and Green's functions. In particular, we discuss the corresponding spectral representations of half-lattice and full-lattice CMV operators.
Cite
@article{arxiv.math/0501210,
title = {Weyl-Titchmarsh Theory for CMV Operators Associated with Orthogonal Polynomials on the Unit Circle},
author = {Fritz Gesztesy and Maxim Zinchenko},
journal= {arXiv preprint arXiv:math/0501210},
year = {2008}
}
Comments
41 pages