An explicit construction of the K-finite vectors in the discrete series for an isotropic semisimple symmetric space

DOI10.24033/msmf.303zbMath0563.22008OpenAlexW2290043207MaRDI QIDQ3676371

Mogens Flensted-Jensen, Kiyosato Okamoto

Publication date: 1984

Published in: Mémoires de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=MSMF_1984_2_15__157_0

zbMATH Keywords

discrete seriessemisimple symmetric spaceK spectrum

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

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The range characterizations of the totally geodesic Radon transform on the real hyperbolic space ⋮ The point spectrum of the Dirac operator on noncompact symmetric spaces ⋮ Cuspidal discrete series for semisimple symmetric spaces ⋮ Eigenspaces of the Laplacian on hyperbolic spaces: composition series and integral transforms

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