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arXiv · 2206.07407

Vector-valued holomorphic discrete series and the Laplace transform : an example

Jean-Louis Clerc
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Abstract

For T $\Omega$ a Hermitian symmetric tube-type domain, a family ($\pi$ $\mu$) $\mu$$\in$C of holomorphic vector-valued representations is studied. The corresponding Wallach set is determined. The main tool is a realization of the representations as weighted L 2-spaces on the cone $\Omega$ through the Laplace transform.

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Jean-Louis Clerc. 2022-06-15. Vector-valued holomorphic discrete series and the Laplace transform : an example. https://arxiv.org/abs/2206.07407

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