\((\mathrm{GL}(n+1,\mathbb R),\mathrm{GL}(n,\mathbb R))\) is a generalized Gelfand pair

DOI10.1134/S1061920808040122zbMath1181.43005OpenAlexW2018049604MaRDI QIDQ1033812

Gerrit Van Dijk

Publication date: 10 November 2009

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920808040122

zbMATH Keywords

Gelfand pair

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85)

Related Items (1)

The Plancherel formula for the line bundles on \(\mathrm{SL}(n + 1, \mathbb{R})/S(\mathrm{GL}(1,\mathbb{R})\times \mathrm{GL}(n, \mathbb{R}))\)

Cites Work

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• Spherical distributions on the pseudo-Riemannian space SL(n, \({\mathbb{R}})/GL(n-1,\,{\mathbb{R}})\)
• Distributions spheriques sur les espaces hyperboliques
• A new class of Gelfand pairs
• On a class of generalized Gelfand pairs
• (GL_n+1(F), GL_n(F)) is a Gelfand pair for any local field F

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