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

被引：13
|
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
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.
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页码：171 / 214
页数：44
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