Unitary representations of unimodular Lie groups in Bergman spaces

Details Unitary representations of unimodular Lie groups in Bergman spaces Unitary representations of unimodular Lie groups in Bergman spaces

2010-09-10

arxiv.org/abs/1009.2110v1

Mathematics

Representation Theory

14 pages

Scientific paper

For an arbitrary unimodular Lie group $G$, we construct strongly continuous
unitary representations in the Bergman space of a naturally constructed
strongly pseudoconvex neighborhood of $G$ in the complexification of its
underlying manifold.

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