Pompeiu sets in compact Heisenberg manifolds

DOI10.1007/BF02510117zbMath0956.43002MaRDI QIDQ1976487

Robert R. Park, Leonard F. Richardson

Publication date: 7 March 2001

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/59630

zbMATH Keywords

Heisenberg groupintertwining operatorsPompeiu setquasiregular representationHeisenberg manifolds

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Special sets (thin sets, Kronecker sets, Helson sets, Ditkin sets, Sidon sets, etc.) (43A46) Nilpotent and solvable Lie groups (22E25)

Cites Work

• A class of idempotent measures on compact nilmanifolds
• A Paley-Wiener theorem for all two- and three-step nilpotent Lie groups
• A Paley-Wiener theorem for selected nilpotent Lie groups
• Some Remarks on the Pompeiu Problem for Groups
• The behavior of Fourier transforms for nilpotent Lie groups
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