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A Perron Frobenius theory for representations of locally compact Abelian groups

โœ Scribed by G. Greiner; U. Groh

Publisher
Springer
Year
1983
Tongue
English
Weight
708 KB
Volume
262
Category
Article
ISSN
0025-5831

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Let G be a nilpotent locally compact group. The lower multiplicity M L (?) is defined for every irreducible representation ? of G, which does not form an open point in the dual space G of G. It is shown that M L (?)=1 if either G is connected or ? is finite dimensional. Conversely, for G a nilpotent