Linear Operators Commuting with Translations on D( R ) are Continuous

DOI10.2307/2047296zbMath0682.42009OpenAlexW4236433576MaRDI QIDQ4731644

Gary H. Meisters

Publication date: 1989

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047296

zbMATH Keywords

Schwartz spaceautomatic continuity of translation-invariant linear functionals

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convolution, factorization for one variable harmonic analysis (42A85) Open mapping and closed graph theorems; completeness (including (B)-, (B_r)-completeness) (46A30) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

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