An algebraic approach to tempered distributions

    Authors

    D. Atanasiu; P. Mikusinski;D. Nemzer

    Comments

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    Abbreviated Journal Title

    J. Math. Anal. Appl.

    Keywords

    Pseudoquotients; Convolution quotients; Fourier transform; Schwartz; distributions; Tempered distributions; Mathematics, Applied; Mathematics

    Abstract

    A space of pseudoquotients is introduced that is shown to be isomorphic to the space of tempered distributions on R(N). The Fourier transform is defined as a map from the space of pseudoquotients to the space of tempered distributions and as a transformation on pseudoquotients. (C) 2011 Elsevier Inc. All rights reserved.

    Journal Title

    Journal of Mathematical Analysis and Applications

    Volume

    384

    Issue/Number

    2

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    307

    Last Page

    319

    WOS Identifier

    WOS:000294097000015

    ISSN

    0022-247X

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