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arxiv: math/0411564 · v1 · submitted 2004-11-25 · 🧮 math.RT

Horospherical model for holomorphic discrete series and horospherical Cauchy transform

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keywords horosphericaldiscreteholomorphicseriestransformaffinecauchycomplex
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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.

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