Positive definite distributions on \(K\setminus G/K\)

DOI10.1016/0022-1236(78)90025-3zbMath0393.22010OpenAlexW2057387322MaRDI QIDQ1252431

Alladi Sitaram

Publication date: 1978

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90025-3

zbMATH Keywords

ConvolutionContinuous Linear FunctionalsDouble Coset SpaceDouble Cosets Mod KHarish-Chandra's Schwartz SpacePositive Definite DistributionsPull-BacksRight Invariant Differential OperatorsSemisimple Lie Groups

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46)

Related Items (2)

Hypergroups and hypergroup algebras ⋮ Harmonic analysis on reductive Lie groups

Cites Work

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• The spherical Bochner theorem on semisimple Lie groups
• Positive definite distributions on unimodular Lie groups
• Spherical transforms on semisimple Lie groups

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