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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/170452We 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 pagesSpectral TheoryMathematical Physics34B20, 47A10, 47B36 (Primary) 34L40 (Secondary)Weyl-Titchmarsh Theory for CMV Operators Associated with Orthogonal Polynomials on the Unit Circletext