A Strong Generalization of Helgason's Theorem

DOI10.2307/2000709zbMath0627.22014OpenAlexW4231346625MaRDI QIDQ3031029

Kenneth D. Johnson

Publication date: 1987

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

Full work available at URL: https://doi.org/10.2307/2000709

zbMATH Keywords

Iwasawa decompositionparabolic subgroupLanglands decompositionreal simple Lie groupK-fixed vectorsreciprocity pair

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

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Solvability, structure, and analysis for minimal parabolic subgroups ⋮ Domains of holomorphy for irreducible admissible uniformly bounded Banach representations of simple Lie groups ⋮ Isotypic multiharmonic polynomials and Gelbart-Helgason reciprocity ⋮ Spherical representations of Lie supergroups

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