Title

Null spaces of Radon transforms

Document Type

Article

Publication Date

2-26-2016

Abstract

We obtain new descriptions of the null spaces of several projectively equivalent transforms in integral geometry. The paper deals with the hyperplane Radon transform, the totally geodesic transforms on the sphere and the hyperbolic space, the spherical slice transform, and the Cormack-Quinto spherical mean transform for spheres through the origin. The consideration extends to the corresponding dual transforms and the relevant exterior/interior modifications. The method relies on new results for the Gegenbauer-Chebyshev fractional integrals.

Publication Source (Journal or Book title)

Advances in Mathematics

First Page

1159

Last Page

1182

This document is currently not available here.

Share

COinS