Fredholm and invertibility theory for a special class of Toeplitz plus Hankel operators

被引：14

作者：

Basor, Estelle L. ^{[1
]}

Ehrhardt, Torsten ^{[2
]}

机构：

[1] Amer Inst Math, Palo Alto, CA 94306 USA

[2] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

来源：

JOURNAL OF SPECTRAL THEORY | 2013年 / 3卷 / 02期

基金：

美国国家科学基金会;

关键词：

Toeplitz operator; Hankel operator; Toeplitz plus Hankel operator; SINE KERNEL; ASYMPTOTICS; DETERMINANT; FACTORIZATION;

D O I：

10.4171/JST/42

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a complete Fredholm and invertibility theory for Toeplitz+ Hankel operators T(a) + H(b) on the Hardy space H-p (T), < p < infinity, with piecewise continuous functions a; b defined on the unit circle which are subject to the condition a9t)a(t(-1)) = In particular, in the case of Fredholmness, formulas for the defect numbers are established. The results are applied to several important examples.

引用

页码：171 / 214

页数：44

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