Title

An algebraic approach to tempered distributions

Authors

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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