Support Theorems for Horocycles on Hyperbolic Spaces
Differential Geometry
2010-11-16 v2
Abstract
A support theorem for the horocycle Radon transform f \to \hat{f} is a property of the form \hat{f} of compact support \rightarrow f of compact support. Here we prove a variation of this result where support (\hat{f}) is outside a fixed horocycle in hyperbolic space.
Cite
@article{arxiv.1008.0841,
title = {Support Theorems for Horocycles on Hyperbolic Spaces},
author = {Sigurdur Helgason},
journal= {arXiv preprint arXiv:1008.0841},
year = {2010}
}
Comments
6 pages; replaced 11/15/10