Spherical Functions on Cartan Motion Groups

DOI10.2307/2001109zbMath0706.43010OpenAlexW4249285529MaRDI QIDQ3487976

Cary Rader

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2001109

zbMATH Keywords

Plancherel measurePaley-Wiener theoremuniversal enveloping algebrareductive groupgeneralized Bessel functionsCartan motion groupsirreducible spherical functionsnonunitary dual

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Harmonic analysis and spherical functions (43A90)

Related Items (3)

Continuity of the Mackey-Higson bijection ⋮ On the asymptotics of Hecke operators for reductive groups ⋮ Convolution of orbital measures on symmetric spaces: A survey

Cites Work

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• Non-unitary dual spaces of groups
• Sur quelques points d'algèbre homologique
• Invariant polynomials and zonal spherical functions
• The Dual Spaces of Banach Algebras
• Orbits and Representations Associated with Symmetric Spaces
• The plancherel formula for group extensions
• Algebraic Results on Representations of Semisimple Lie Groups
• A Theory of Spherical Functions. I
• On the representations of semi-simple Lie groups

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