A Paley-Wiener theorem for step two nilpotent Lie groups

DOI10.4171/RMI/149zbMath0820.43004OpenAlexW1978762514WikidataQ115211916 ScholiaQ115211916MaRDI QIDQ1325217

Sundaram Thangavelu

Publication date: 12 June 1994

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39455

zbMATH Keywords

Heisenberg groupPaley-Wiener theoremrepresentationsstep two nilpotent Lie groups

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Analysis on other specific Lie groups (43A80)

Related Items (5)

Mean periodic functions on phase space and the Pompeiu problem with a twist ⋮ Paley-Wiener theorems for the \(\mathrm U(n)\)-spherical transform on the Heisenberg group ⋮ Bandlimited spaces on some 2-step nilpotent Lie groups with one Parseval frame generator ⋮ Paley‐Wiener estimates for the Heisenberg group ⋮ The Paley-Wiener theorem for certain nilpotent Lie groupsJean

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