Support Theorems for Horocycles on Hyperbolic Spaces

Details Support Theorems for Horocycles on Hyperbolic Spaces Support Theorems for Horocycles on Hyperbolic Spaces

2010-08-04

arxiv.org/abs/1008.0841v2

Mathematics

Differential Geometry

6 pages; replaced 11/15/10

Scientific paper

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.

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