论文标题

矢量值塑形离散系列和拉普拉斯变换:一个例子

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

论文作者

Clerc, Jean-Louis

论文摘要

对于t $ω$,研究了一个家庭($π$ $ $ $)$μ$ $ \ in $ c in $ c $ c $ c $ω$ a $ c $ c type type型域。确定相应的瓦拉赫集合。主要工具是通过Laplace Transform在锥$ω$上的加权L 2空间中实现表示形式。

For T $Ω$ a Hermitian symmetric tube-type domain, a family ($π$ $μ$) $μ$$\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 $Ω$ through the Laplace transform.

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