A note on the convolution and the product in D′ and S′
A. Kamiński1and R. Rudnicki1
Received27 Nov 1989
Revised03 Mar 1990
Abstract
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.