Multiplications and convolutions in L. Schwartz' spaces of test functions and distributions and their continuity

Julian Larcher

doi:10.1524/anly.2013.1200

Published by Oldenbourg Wissenschaftsverlag December 10, 2013

Multiplications and convolutions in L. Schwartz' spaces of test functions and distributions and their continuity

Julian Larcher

From the journal Analysis

https://doi.org/10.1524/anly.2013.1200

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Abstract

We list multiplier and convolutor spaces of the spaces occurring in L. Schwartz' “Théorie des distributions”. Furthermore we clarify whether the multiplications and convolutions are continuous or not.

Keywords: Multipliers; convolutors; continuity of multiplications and convolutions; topological algebras

Received: 2013-1-25

Published Online: 2013-12-10

Published in Print: 2013-12-1

Multiplications and convolutions in L. Schwartz' spaces of test functions and distributions and their continuity

Abstract

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