Algebras of Invariant Functions on the Silov Boundary of Generalized Half- Planes

DOI10.2307/2048412zbMATH Open0739.43002OpenAlexW4251444793MaRDI QIDQ3971106

Giovanna Carcano

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.2307/2048412

zbMATH Keywords

multiplicityGelfand pairslocally compact groupFock representationhermitian formsemi-direct productirreducible unitary representationsimply connected nilpotent Lie groupŠilov boundarybiinvariant functionsintertwining representationcompact group of automorphisms2- step nilpotent groupsymmetric generalized half-plane

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Unitary representations of locally compact groups (22D10) Nilpotent and solvable Lie groups (22E25) Group algebras of locally compact groups (22D15) (L^1)-algebras on groups, semigroups, etc. (43A20)

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