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Journal of Lie Theory 14 (2004), No. 2, 427--442
Copyright Heldermann Verlag 2004

Separation of Unitary Representations of R x Rd

Lobna Abdelmoula
Faculté des Sciences, Dép. de Mathématiques, Route de Soukra, 3038 Sfax, Tunisia

Didier Arnal
Institut de Mathématiques, Université de Bourgogne, U.F.R. Sciences et Techniques, B. P. 47870, 21078 Dijon, France, didier.arnal@u-bourgogne.fr

Mohamed Selmi
Faculté des Sciences, Dép. de Mathématiques, Route de Soukra, 3038 Sfax, Tunisia, Mohamed.Selmi@fss.rnu.tn

We consider a type I, solvable Lie group G, of the form R x Rd. We show that every irreducible unitary representation π of G is characterized by its generalized moment set.

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