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Weyl-Titchmarsh Theory for CMV Operators Associated with Orthogonal Polynomials on the Unit Circle

Fritz Gesztesy·Maxim Zinchenko
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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.

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BibTeXRIS

Fritz Gesztesy, Maxim Zinchenko. 2008-10-02. Weyl-Titchmarsh Theory for CMV Operators Associated with Orthogonal Polynomials on the Unit Circle. https://arxiv.org/abs/math/0501210

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