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

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

2005-01-14

arxiv.org/abs/math/0501210v2

Journal of Approximation Theory 139 (2006), 172-213

Mathematics

Spectral Theory

41 pages

Scientific paper

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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