2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71705We extend the uncertainty principle, the Cowling--Price theorem, on non-compact Riemannian symmetric spaces $X$. We establish a characterization of the heat kernel of the Laplace--Beltrami operator on $X$ from integral estimates of the Cowling--Price type.22 pages, no figures, no tablesRepresentation Theory22E25Cowling-Price theorem and characterization of heat kernel on symmetric spacestext