Horospherical model for holomorphic discrete series and horospherical Cauchy transform

Details Horospherical model for holomorphic discrete series and horospherical Cauchy transform Horospherical model for holomorphic discrete series and horospherical Cauchy transform

2004-11-25

arxiv.org/abs/math/0411564v1

Compositio Math. 142 (2006), 983--1008

Mathematics

Representation Theory

24 pages

Scientific paper

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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