Invariant distributions on a non-isotropic pseudo-Riemannian symmetric space of rank one

2005/10/09 by Hiroyuki Ochiai, Ochiai, Hiroyuki
Mathematics · #22E45 #43A90 #Advanced Algebra and Geometry #FOS: Mathematics #Geometry and complex manifolds #Representation Theory (math.RT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.math/0510170

openalex publication_date 2005/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the structure of invariant distributions on a non-isotropic non-Riemannian symmetric space of rank one. Especially, the J-criterion related to the generalized Gelfand pair is shown for this space without imposing the condition on the eigenfuction of the Laplace-Bertrami operator.

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