Journal of Lie Theory EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 14, No. 2, pp. ***--*** (2004)

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Separation of Unitary Representations of $\R\times\R^d$

Lobna Abdelmoula, Didier Arnal and Mohamed Selmi

Lobna Abdelmoula and Mohamed Selmi
Faculté de Sciences de Sfax
Département de Mathématiques
Route de Soukra, 3038 Sfax, Tunisie
Mohamed.Selmi@fss.rnu.tn
and
Didier Arnal
Institut de Mathématiques de Bourgogne
Université de Bourgogne
U.F.R. Sciences et Techniques
B.P. 47870,
F-21078 Dijon Cedex, France
didier.arnal@u-bourgogne.fr

Abstract: We consider a type I, solvable Lie group $G$, of the form $\Bbb R\times\Bbb R^d$. We show that every irreducible unitary representation $\pi$ of $G$ is characterized by its generalized moment set.

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Electronic version published on: 1 Sep 2004. This page was last modified: 1 Sep 2004.

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