An algebraic approach to tempered distributions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:384

Article

Atanasiu, Dragu³  Mikusinski, Piotr¹  Nemzer, Dennis² 

[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

[2] Calif State Univ Stanislaus, Dept Math, Turlock, CA 95382 USA

[3] Univ Boras, Boras, Sweden

关键词: Pseudoquotients;    Convolution quotients;    Fourier transform;    Schwartz distributions;    Tempered distributions;   

DOI  :  10.1016/j.jmaa.2011.05.064

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free