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
Didier Arnal
Institut de Mathématiques de Bourgogne
Université de Bourgogne
U.F.R. Sciences et Techniques
B.P. 47870,
F-21078 Dijon Cedex, France

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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