Horospherical model for holomorphic discrete series and horospherical Cauchy transform

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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.
24 pages

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Representation Theory, 22E46

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http://salesiana.dossiersoluciones.com/handle/123456789/98536

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411564
 http://arxiv.org/abs/math/0411564
 Compositio Math. 142 (2006), 983--1008

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arXiv