On Gelfand Pairs Associated with Solvable Lie Groups

DOI10.2307/2001592zbMath0704.22006OpenAlexW4237276955WikidataQ115229417 ScholiaQ115229417MaRDI QIDQ3483485

Chal Benson, J. W. Jenkins, Gail Ratcliff

Publication date: 1990

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001592

zbMATH Keywords

spherical functionsHeisenberg groupGelfand pairsgroup of automorphismsunitary dualconvolution algebrasimply connected solvable Lie groupsimply connected nilpotent Lie groupinvariant elementsisotropy subgroupintertwining representation

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Harmonic analysis and spherical functions (43A90) Group algebras of locally compact groups (22D15) (L^1)-algebras on groups, semigroups, etc. (43A20)

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