Mathematics – Spectral Theory
Scientific paper
2005-01-14
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.
Gesztesy Fritz
Zinchenko Maxim
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