English

New Inversion Formulas for Radon Transforms on Affine Grassmannians

Functional Analysis 2016-10-10 v1

Abstract

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

Keywords

Cite

@article{arxiv.1610.02109,
  title  = {New Inversion Formulas for Radon Transforms on Affine Grassmannians},
  author = {Boris Rubin and Yingzhan Wang},
  journal= {arXiv preprint arXiv:1610.02109},
  year   = {2016}
}
R2 v1 2026-06-22T16:13:50.226Z