Title

An Algebraic Approach To Tempered Distributions

Keywords

Convolution quotients; Fourier transform; Pseudoquotients; Schwartz distributions; Tempered distributions

Abstract

A space of pseudoquotients is introduced that is shown to be isomorphic to the space of tempered distributions on RN. 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. © 2011 Elsevier Inc.

Publication Date

12-15-2011

Publication Title

Journal of Mathematical Analysis and Applications

Volume

384

Issue

2

Number of Pages

307-319

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/j.jmaa.2011.05.064

Socpus ID

79961027255 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79961027255

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