English

Elementary Inversion of Riesz Potentials and Radon-John Transforms

Functional Analysis 2011-01-27 v1

Abstract

New simple proofs are given to some elementary approximate and explicit inversion formulas for Riesz potentials. The results are applied to reconstruction of functions from their integrals over Euclidean planes in integral geometry.

Keywords

Cite

@article{arxiv.1101.5105,
  title  = {Elementary Inversion of Riesz Potentials and Radon-John Transforms},
  author = {Boris Rubin},
  journal= {arXiv preprint arXiv:1101.5105},
  year   = {2011}
}

Comments

9 pages

R2 v1 2026-06-21T17:17:26.406Z