Continuity of multiplication of distributors

Jan Kucera and Kelly Mckennon

International Journal of Mathematics and Mathematical Sciences, 1981, vol. 4, 1-4

Abstract:

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

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:474060

DOI: 10.1155/S016117128100063X

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