arXiv math/04115642004-11-25math.RT

Horospherical model for holomorphic discrete series and horospherical Cauchy transform

Simon Gindikin, Bernhard Kroetz, Gestur Olafsson

备注：: 24 pages
发表信息：: Compositio Math. 142 (2006), 983--1008

英文摘要：

We define a complex horospherical transform for affine symmetric spaces of Hermitian type and show that it has no kernel on the holomorphic discrete series.

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