2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66354The invariant eigendistributions on a reductive Lie algebra are solutions of a holonomic D-module which has been proved to be regular by Kashiwara-Hotta. We solve here a conjecture of Sekiguchi saying that in the more general case of symmetric pairs, the corresponding module are still regular.Analysis of PDEsGroup Theory35A27Regularity of the D-module associated to a symmetric pairtext