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

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.