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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 4 (1981), Issue 4, Pages 819-822
doi:10.1155/S016117128100063X

Continuity of multiplication of distributions

Jan Kučera and Kelly McKennon

Department of Pure and Applied Mathematics, Washington State University, Pullman 99164, Washington, USA

Abstract

In a reference book for distributions [1], it is shown that the multiplication (u,f)↦uf on C∞×𝒟′, as well as on 𝒪M×𝒮′, is hypocontinuous. We show here that in both cases it is discontinuous.