Title

Wiener's lemma for localized integral operators

Authors

Authors

Q. Y. Sun

Comments

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Abbreviated Journal Title

Appl. Comput. Harmon. Anal.

Keywords

SHIFT-INVARIANT SPACES; INFINITE MATRICES; PSEUDODIFFERENTIAL CALCULUS; CONTINUITY PROPERTIES; FRAMES; ALGEBRAS; RECONSTRUCTION; SYMMETRY; Mathematics, Applied; Physics, Mathematical

Abstract

In this paper, we introduce two classes of localized integral operators on L-2(R-d) with the Wiener class W and the Kurbatov class K of integral operators as their models. We show that those two classes of localized integral operators are pseudo-inverse closed non-unital subalgebra of B-2, the Banach algebra of all bounded operators on L-2(R-d) with usual operator norm. (c) 2007 Elsevier Inc. All rights reserved.

Journal Title

Applied and Computational Harmonic Analysis

Volume

25

Issue/Number

2

Publication Date

1-1-2008

Document Type

Article

Language

English

First Page

148

Last Page

167

WOS Identifier

WOS:000258606800002

ISSN

1063-5203

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