Embeddings of discrete series for a reductive symmetric space

DOI10.1006/JFAN.2000.3700zbMath0978.22013OpenAlexW1967560944MaRDI QIDQ5937215

Jacques Carmona

Publication date: 8 January 2002

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

Full work available at URL: https://doi.org/10.1006/jfan.2000.3700

zbMATH Keywords

Plancherel formuladiscrete seriesprincipal series representationsreductive Lie groupreductive symmetric space

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46)

Related Items (1)

Support of asymptotics and growth of eigenfunctions on a semisimple symmetric space

Cites Work

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• Local boundary data of eigenfunctions on a Riemannian symmetric space
• Plancherel formula for reductive symmetric spaces
• Discrete series for semisimple symmetric spaces
• Szegoe kernels associated with discrete series
• Eigenfunctions of invariant differential operators on a symmetric space
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• Fourier transform on the Schwartz space of a reductive symmetric space
• The principal series for a reductive symmetric space. II: Eisenstein integrals
• The Structure of Semisimple Symmetric Spaces
• Terme constant des fonctions tempérées sur un espace symétrique réductif.

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