The Plancherel formula for the pseudo-Riemannian space SL(n, \({\mathbb{R}})/GL(n-1,\,{\mathbb{R}})\). (English) Zbl 0593.43009
In this paper a Plancherel formula for the pseudo-Riemannian symmetric rank one space SL(n, \({\mathbb{R}})/GL(n-1, {\mathbb{R}})\) is obtained. This paper is a continuation of earlier work of M. T. Kosters and the first author [J. Funct. Anal. 68, 168-213 (1986)]. The Plancherel formula for the above-mentioned space was firstly obtained by the reviewer [Dokl. Akad. Nauk SSSR 260, 1067-1070 (1981; Zbl 0493.43005)].
Reviewer: V.F.Molchanov
Keywords:
pseudo-Riemannian symmetric space; generalized Gelfand pair; relative discrete series; rank one symmetric space; Plancherel formulaCitations:
Zbl 0493.43005References:
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