Unitary representations of unimodular Lie groups in Bergman spaces
Representation Theory
2010-09-14 v1 Complex Variables
Abstract
For an arbitrary unimodular Lie group , we construct strongly continuous unitary representations in the Bergman space of a naturally constructed strongly pseudoconvex neighborhood of in the complexification of its underlying manifold.
Keywords
Cite
@article{arxiv.1009.2110,
title = {Unitary representations of unimodular Lie groups in Bergman spaces},
author = {Giuseppe Della Sala and Joe J. Perez},
journal= {arXiv preprint arXiv:1009.2110},
year = {2010}
}
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14 pages