Terme constant de fonctions sur un espace symétrique réductif p-adique

We generalize Casselman’s pairing to p-adic reductive symmetric spaces and study the asymptotic behaviour of certain generalized coefficients. We also prove an analogue of a lemma due to Langlands which allows us to prove a disjunction result for the Cartan decomposition of the p-adic reductive symmetric spaces. © 2007 Elsevier Inc. Tous droits réservés