Wiener's lemma for localized integral operators

    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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