- 05-18 Fritz Gesztesy and Maxim Zinchenko
- Weyl-Titchmarsh Theory for CMV Operators Associated with Orthogonal
Polynomials on the Unit Circle
(136K, LaTeX)
Jan 13, 05
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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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05-18.tex