Weyl--Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle

Authors:
Fritz Gesztesy;Maxim Zinchenko
Affiliations:
Department of Mathematics, University of Missouri, Columbia, MO 65211, USA;Department of Mathematics, University of Missouri, Columbia, MO 65211, USA
Venue:
Journal of Approximation Theory
Year:
2006

Citing 1
Cited 0

Analogs of the m-function in the theory of orthogonal polynomials on the unit circle

Journal of Computational and Applied Mathematics - Special issue: On the occasion of the eightieth birthday of prof. W.M. Everitt

Quantified Score

Hi-index	0.00

Visualization

Abstract

We provide a detailed treatment of Weyl-Titchmarsh theory for half-lattice and full-lattice 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.