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Unitary representations of unimodular Lie groups in Bergman spaces (1009.2110v1)
Published 10 Sep 2010 in math.RT and math.CV
Abstract: 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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