%0 Journal Article %T Horospherical model for holomorphic discrete series and horospherical Cauchy transform %A Simon Gindikin %A Bernhard Kroetz %A Gestur Olafsson %J Mathematics %D 2004 %I arXiv %X 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. %U http://arxiv.org/abs/math/0411564v1