Multiplications and Convolutions in L. Schwartz' Spaces of Test Functions and Distributions and their Continuity

2012/09/19 by Julian Larcher, Larcher, Julian
Mathematics · #46F05 (Primary) 46E10 (Secondary) #46F10 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Advanced Topology and Set Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical and Theoretical Analysis #math.FA #msc:46E10 #msc:46F05 #msc:46F10

paper · pdf · doi:10.48550/arxiv.1209.4174

openalex publication_date 2012/09/19 · arxiv created 2013/02/05 · arxiv updated 2013/02/06 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28

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.

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