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math.DG2015★ 4 cited
The Bounded Spherical Functions on the Cartan motion group
Sigurdur Helgason
The Bounded Spherical Functions are determined for a Cartan Motion Group
math.DG2010
Support Theorems for Horocycles on Hyperbolic Spaces
Sigurdur Helgason
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 o…
math.DG2004
Non-Euclidean Analysis
Sigurdur Helgason
This paper deals with various topics in analysis on hyperbolic spaces. It surveys some recent progress in non-Euclidean Fourier Analysis and proves some new results for the geodesi…