Topologies in the Set of Rapidly Decreasing Distributions

DOI10.1007/978-3-030-46079-2_1zbMath1497.46048OpenAlexW3034578788MaRDI QIDQ5115922

Jan Kisyński

Publication date: 21 August 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-46079-2_1

zbMATH Keywords

convolutionlocally convex spaceFourier transformationrapidly decreasing distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Cites Work

• Characterization of L. Schwartz' convolutor and multiplier spaces \(\mathcal O'_C\) and \(\mathcal O_M\) by the short-time Fourier transform
• Some remarks concerning the spaces of multipliers and convolutors, \({\mathcal{O}_M}\) and \(\mathcal{O}^\prime_C\), of Laurent Schwartz
• On the spaces \(\mathcal O_C^m\) of John Horváth
• Multiplications and convolutions in L. Schwartz' spaces of test functions and distributions and their continuity
• Functional analysis
• Convolution and \(\mathcal S'\)-convolution of distributions
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