Integral transforms characterized by convolution

DOI10.1007/S00025-023-01897-4OpenAlexW4362700264MaRDI QIDQ2701325

Mateusz Krukowski

Publication date: 28 April 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.09654

zbMATH Keywords

Fourier transformLaplace transformcosine transformconvolution property

Mathematics Subject Classification ID

Laplace transform (44A10) Other transforms and operators of Fourier type (43A32) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Cites Work

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• A characterisation of the Fourier transform on the Heisenberg group
• A characterization of product preserving maps with applications to a characterization of the Fourier transform
• Cosine manifestations of the Gelfand transform
• Revisiting the Fourier transform on the Heisenberg group
• CHARACTERISATION OF THE FOURIER TRANSFORM ON COMPACT GROUPS
• A characterization of Fourier transforms
• Principles of harmonic analysis

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