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Publication:3211549
zbMath0723.22018MaRDI QIDQ3211549
Publication date: 1990
Full work available at URL: http://www.numdam.org/item?id=CM_1990__73_1_1_0
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
symmetric spaceunitary irreducible representationsinvolutionspherical distributions\(\sigma \) -fixed pointsinvariant distribution vector
Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Harmonic analysis and spherical functions (43A90)
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Harmonic analysis on the finite symmetric space \(\mathrm{GL}(n,K)/\mathrm{GL}(1,K)\times \mathrm{GL}(n-1,K)\) ⋮ Projective pseudodifferential analysis and harmonic analysis ⋮ The notion of cusp forms for a class of reductive symmetric spaces of split rank 1 ⋮ Unnamed Item ⋮ Generalized Harish-Chandra descent, Gelfand pairs, and an Archimedean analog of Jacquet-Rallis's theorem. With an appendix by the authors and Eitan Sayag. ⋮ The Berezin form for rank one para-Hermitian symmetric spaces
Cites Work
- The unitary dual of \(\mathrm{GL}(n)\) over an archimedean field
- Spherical distributions on the pseudo-Riemannian space SL(n, \({\mathbb{R}})/GL(n-1,\,{\mathbb{R}})\)
- Distributions spheriques sur les espaces hyperboliques
- Representations of real reductive Lie groups
- Harmonic analysis on real reductive groups
- Tensor products of finite and infinite dimensional representations of semisimple Lie groups
- A duality for symmetric spaces with applications to group representations
- On the existence and irreducibility of certain series of representations
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