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Horospherical model for holomorphic discrete series and horospherical Cauchy transform

Simon Gindikin·Bernhard Kroetz·Gestur Olafsson
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Abstract

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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Simon Gindikin, Bernhard Kroetz, Gestur Olafsson. 2004-11-25. Horospherical model for holomorphic discrete series and horospherical Cauchy transform. https://arxiv.org/abs/math/0411564

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