New inversion formulas for Radon transforms on affine Grassmannians

Authors

Boris Rubin, Louisiana State University
Yingzhan Wang, Guangzhou University

Document Type

Article

Publication Date

5-15-2018

Abstract

We obtain new inversion formulas for the Radon transform and the corresponding dual transform acting on affine Grassmann manifolds of planes in Rⁿ. The consideration is performed in full generality on continuous functions and functions belonging to L^p spaces.

Publication Source (Journal or Book title)

Journal of Functional Analysis

First Page

2792

Last Page

2817

Recommended Citation

Rubin, B., & Wang, Y. (2018). New inversion formulas for Radon transforms on affine Grassmannians. Journal of Functional Analysis, 274 (10), 2792-2817. https://doi.org/10.1016/j.jfa.2018.03.002