%0 Journal Article %T Regularity of the D-module associated to a symmetric pair %A Yves Laurent %J Mathematics %D 2003 %I arXiv %X The 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. %U http://arxiv.org/abs/math/0301296v1