A note on the convolution and the product in D′ and S′

Examples of tempered distibutions are shown such that the convolution and product exist in D′ and are tempered distributions, but they do not exist in S′. On the other hand, there exist tempered distributions whose convolution or product exist in D′ but are not tempered distributions.

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Bibliographic Details
Main Authors: A. Kamiński, R. Rudnicki
Format: Article
Language:English
Published: Wiley 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171291000315
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