Abstract
Multiplication (convolution) operators between spaces of distributions are continuous linear maps which on the subspace act as multiplication (convolution). In section one we fix our notation and recall some basic facts from distribution theory. The historical background of our topic and some connections with different branches of analysis are indicated in section two. In section three we develop to some extent a theory of the spaces M (E,F) and C (E,F) of multiplication operators and convolution operators from E to F, respectively. These general results are used in section four to work out some examples, whereas some further results are mentioned in section five.
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