Weyl-Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle

被引：46

作者：

Gesztesy, F ^{[1
]}

Zinchenko, M ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

JOURNAL OF APPROXIMATION THEORY | 2006年 / 139卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.jat.2005.08.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We provide a detailed treatment of Weyl-Titchmarsh theory for half-lattice and full-lattice 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. (C) 2005 Elsevier Inc. All rights reserved.

引用

页码：172 / 213

页数：42