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.
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页码：172 / 213
页数：42
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