Toeplitz算子和Wiener-Hopf分解:介绍

IF 0.3 Q4 MATHEMATICS
M. Câmara
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引用次数: 7

摘要

摘要Wiener-Hopf因子分解在Toeplitz算子理论中占有重要地位。我们在这里考虑上半平面的Hardy空间Hp中的Toeplitz算子,并回顾了如何根据其符号的Wiener-Hopf因子分解来研究它们的Fredholm性质,获得了算子是Fredholm或可逆的充要条件,以及当这些条件存在时它们的逆或单侧逆的公式。将结果应用于L-1中的一类奇异积分方程(ℝ)
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Toeplitz operators and Wiener-Hopf factorisation: an introduction
Abstract Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-Hopf factorisation of their symbols, obtaining necessary and sufficient conditions for the operator to be Fredholm or invertible, as well as formulae for their inverses or one-sided inverses when these exist. The results are applied to a class of singular integral equations in L−1(ℝ)
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来源期刊
Concrete Operators
Concrete Operators MATHEMATICS-
CiteScore
1.00
自引率
16.70%
发文量
10
审稿时长
22 weeks
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