2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/103593We 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 figuresRepresentation Theory22E45; 43A90Invariant distributions on a non-isotropic pseudo-Riemannian symmetric space of rank onetext