A new class of Gelfand pairs

DOI10.1007/BF01267869zbMath0829.22015OpenAlexW2058480614MaRDI QIDQ1336201

E. P. H. Bosman, Gerrit Van Dijk

Publication date: 7 November 1994

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01267869

zbMATH Keywords

Gelfand pair\(p\)-adic Lie grouprank one symmetric space\(H\)-invariant distributions

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on (p)-adic Lie groups (22E35)

Related Items (7)

Invariant distributions on a non-isotropic pseudo-Riemannian symmetric space of rank one ⋮ A partial analog of the integrability theorem for distributions on \(p\)-adic spaces and applications ⋮ Some regular symmetric pairs ⋮ Gelfand pairs \((\text{Sp}_{4n}(F),\text{Sp}_{2n}(E))\) ⋮ Generalized Harish-Chandra descent, Gelfand pairs, and an Archimedean analog of Jacquet-Rallis's theorem. With an appendix by the authors and Eitan Sayag. ⋮ \((\text O(V\oplus F),\text O(V))\) is a Gelfand pair for any quadratic space \(V\) over a local field \(F\) ⋮ \((\mathrm{GL}(n+1,\mathbb R),\mathrm{GL}(n,\mathbb R))\) is a generalized Gelfand pair

Cites Work

• Spherical distributions on the pseudo-Riemannian space SL(n, \({\mathbb{R}})/GL(n-1,\,{\mathbb{R}})\)
• Distributions spheriques sur les espaces hyperboliques
• On a class of generalized Gelfand pairs
• Harmonic analysis on reductive \(p\)-adic groups. Notes by G. van Dijk
• Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23): Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73
• Differential Topology
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