Sur la notion faiblement propre dans la conjecture de Duflo

In this article we verify Duflo’s conjecture for SU(2, 1) with respect to a Borel subgroup. It turns out that the non-standard notion weakly proper (faiblement propre) in the formulation of Duflo’s conjecture is more reasonable than the standard notions proper and proper over image. © 2012 Elsevier Inc. Tous droits réservés.