5 citations · 9 across the 4 of their papers we have counts for
6 papers
Spherical Functions on Riemannian Symmetric Spaces
Sigurdur Helgason
This paper deals with some simple results about spherical functions of type , namely new integral formulas, new results about behavior at infinity and some facts about the relat…
The Bounded Spherical Functions on the Cartan motion group
Sigurdur Helgason
The Bounded Spherical Functions are determined for a Cartan Motion Group
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…
The inversion of the X-ray Transform on a Compact Symmetric Space
Sigurdur Helgason
The X-ray transform on a compact symmetric space M is here inverted by means of an explicit inversion formula. The proof uses the conjugacy of the minimal closed geodesics in M and…
The Abel, Fourier and Radon transforms on symmetric spaces
Sigurdur Helgason
In this paper we prove a new inversion theorem and a refinement of an old support theorem for two Radon transforms on a symmetric space. Included are some new identities for the Ab…
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…