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An algebraic approach to tempered distributions |
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| Authors: | Dragu Atanasiu Dennis Nemzer |
| Affiliation: | a University of Borås, Borås, Sweden b Department of Mathematics, University of Central Florida, Orlando, FL 32816-1364, USA c Department of Mathematics, California State University, Stanislaus, Turlock, CA 95382, USA |
| 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. |
| Keywords: | Pseudoquotients Convolution quotients Fourier transform Schwartz distributions Tempered distributions |
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