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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| 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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