English

Complex horospherical transform on real sphere

Representation Theory 2007-05-23 v1

Abstract

We define a new integral transform on the real sphere which is invariant relative to the orthogonal group and similar to the horospherical Radon transform for the hyperbolic space. This transform involves complex geometry associated with the sphere.

Keywords

Cite

@article{arxiv.math/0501023,
  title  = {Complex horospherical transform on real sphere},
  author = {Simon Gindikin},
  journal= {arXiv preprint arXiv:math/0501023},
  year   = {2007}
}

Comments

6 pages