On Schwartz's theorem for the motion group

DOI10.5802/aif.776zbMath0407.43008OpenAlexW2320110416MaRDI QIDQ1258058

Yitzhak Weit

Publication date: 1980

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1980__30_1_91_0

zbMATH Keywords

Euclidean Motion GroupSchwartz's TheoremSpectral Synthesis

Mathematics Subject Classification ID

Analysis on other specific Lie groups (43A80) Spectral synthesis on groups, semigroups, etc. (43A45)

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Some Remarks on the Pompeiu Problem for Groups, Mean periodic functions on phase space and the Pompeiu problem with a twist, Spectral synthesis on the group of conformal automorphisms of the unit disc, Reconstruction of continuous functions from locally uniform weighted averages, Spectral synthesis on the reduced Heisenberg group, On spectral analysis in locally compact motion groups, Certain remarks on functional equations of convolution types, On reconstruction from discrete local moving averages on locally compact abelian groups, Reconstruction from local discrete averages on the plane, On invariant subspaces of continuous vector valued functions

Cites Work

• On the one-sided Wiener's theorem for the motion group on \({\mathbb{R}}^ N\)
• Counterexamples to a problem of L. Schwartz
• Analyticity and the Pompeiu problem
• Spectral synthesis and the Pompeiu problem
• Théorie générale des fonctions moyenne-périodiques
• Some Properties of the Fourier Transform on Semi-Simple Lie Groups. Part II