Method of mean value operators for radon transforms in the space of matrices

Document Type

Article

Publication Date

3-1-2008

Abstract

We extend the FunkRadonHelgason inversion method of mean value operators to the Radon transform f → f̂ of continuous and L(p) functions which are integrated over matrix planes in the space of real rectangular matrices. Necessary and sufficient conditions of existence of f̂ for such f and explicit inversion formulas are obtained. New higher-rank phenomena related to this setting are investigated. © 2008 World Scientific Publishing Company.

Publication Source (Journal or Book title)

International Journal of Mathematics

First Page

245

Last Page

283

This document is currently not available here.

Share

COinS