Some Remarks on the Pompeiu Problem for Groups
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Publication:3032505
DOI10.2307/2047624zbMath0691.22005OpenAlexW4248856807MaRDI QIDQ3032505
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Publication date: 1988
Full work available at URL: https://doi.org/10.2307/2047624
Fourier transformtopological groupsemisimple Lie groupsBorel setHeisenberg groupsEuclidean motion groupspace of integrable functionsP-set
Analysis on real and complex Lie groups (22E30) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Analysis on other specific Lie groups (43A80) Locally compact groups and their algebras (22D99) Analysis on general topological groups (22A10)
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Some permanence properties of \(C^{*}\)-unique groups, The two-sided Pompeiu problem for discrete groups, The Pompeiu problem for groups, The Pompeiu problem and discrete groups, The behavior of Fourier transforms for nilpotent Lie groups, Pompeiu sets in compact Heisenberg manifolds
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