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

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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.
9 pages, no figures

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