Représentations des algèbres de Jordan,variétés de Stiefel et synthèse spectrale

We study the Stiefel's manifolds which arise in the framework of the representations of the Euclidean Jordan and simple algebras. We prove that most of them are not sets of spectral synthesis by using the generalized Bessel functions associated with these representations. To cite this article: A.G. Kalliterakis, C. R. Acad. Sci. Paris, Ser. I 340 (2005).