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

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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.
41 pages

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Spectral Theory, Mathematical Physics, 34B20, 47A10, 47B36 (Primary) 34L40 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/170452

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501210
 http://arxiv.org/abs/math/0501210
 Journal of Approximation Theory 139 (2006), 172-213

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arXiv