Abstract
Using results on amenable groups, we are able to present a new proof and a slight generalization of L. Pukanszky's Prop. 1 in [1]—see (7.1) below for the precise formulation.
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Literatur
Pukanszky, L.,On the unitary representations of exponential groups, J. Funct. Anal. 2(1968), 73–113.
Bernat, P.,Sur les représentations unitaires des groupes de Lie résolubles, An. Sc. Norm. Sup. 30, t82(1965), 37–99.
Greenleaf, F.,Amenable actions of locally compact groups, J. Funct. Anal. 4(1969), 295–315.
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Beiglböck, W.D. Über Einen Satz von L. Pukanszky. Manuscripta Math 7, 113–123 (1972). https://doi.org/10.1007/BF01679708
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DOI: https://doi.org/10.1007/BF01679708