Horospherical model for holomorphic discrete series and horospherical Cauchy transform

Authors

Simon Gindikin, Rutgers University–New Brunswick
Bernhard Krötz, Max Planck Institute for Mathematics
Gestur Ólafsson, Louisiana State University

Document Type

Article

Publication Date

12-13-2006

Abstract

We define a complex horospherical transform on an affine symmetric space X = G/H of Hermitian type and show that it has no kernel on the representations of the H-spherical holomorphic discrete series. © Foundation Compositio Mathematica 2006.

Publication Source (Journal or Book title)

Compositio Mathematica

First Page

983

Last Page

1008

Recommended Citation

Gindikin, S., Krötz, B., & Ólafsson, G. (2006). Horospherical model for holomorphic discrete series and horospherical Cauchy transform. Compositio Mathematica, 142 (4), 983-1008. https://doi.org/10.1112/S0010437X06001965