English

Horospherical model for holomorphic discrete series and horospherical Cauchy transform

Representation Theory 2007-05-23 v1

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.

Cite

@article{arxiv.math/0411564,
  title  = {Horospherical model for holomorphic discrete series and horospherical Cauchy transform},
  author = {Simon Gindikin and Bernhard Kroetz and Gestur Olafsson},
  journal= {arXiv preprint arXiv:math/0411564},
  year   = {2007}
}

Comments

24 pages

R2 v1 2026-07-22T17:12:46.216Z