Coefficients généralisés de séries principales sphériques et distributions sphériques sur \(G_ \mathbb{C} /G_ \mathbb{R}\). (Generalized coefficients of spherical principal series and spherical distributions over \(G_ \mathbb{C} /G_ \mathbb{R}\))

DOI10.1007/BF01232269zbMath0741.43010MaRDI QIDQ1177902

Patrick Delorme

Publication date: 26 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143915

zbMATH Keywords

Lie algebraroot systemspherical distributionspherical principal seriesinvariant distributioneigendistributionsemi-simple complex Lie group\(G\)-invariant differential operators

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35)

Related Items

Spherical functions on ordered symmetric spaces ⋮ Basis of the most continuous series of spherical generalized functions on \(G_C/G_R\) ⋮ Orbital functions on \(G_C/G_R\). Inversion formula of orbital integrals and Plancherel formula ⋮ Distinguished representations and a Fourier summation formula

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