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arXiv · 1009.2110

Unitary representations of unimodular Lie groups in Bergman spaces

Giuseppe Della Sala·Joe J. Perez
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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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Giuseppe Della Sala, Joe J. Perez. 2010-09-10. Unitary representations of unimodular Lie groups in Bergman spaces. https://arxiv.org/abs/1009.2110

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