Solutions élémentaires invariantes pour les opérateurs différentiels invariants sur les espaces symétriques réductifs de type Gℂ/ Gℝ

Abstract

Let G be a complex connected reductive group with simply connected derived group. Let H be a real form of G. Let z be a G-invariant differential operator on the reductive symmetric space G/H. We give an explicit sufficient condition for z to have an invariant fundamental solution on G/H.