English

Characterization and inversion theorems for a generalized Radon transform

Functional Analysis 2014-04-01 v1

Abstract

In this paper the generalized Radon transform over level hypersurfaces of CES-functions of measures supported in positive orthant is studied. A characterization of the generalized Radon transform of nonnegative measures is found. Explicit inversion formula for the generalized Radon transform of absolutely continuous measures is obtained.

Keywords

Cite

@article{arxiv.1403.7931,
  title  = {Characterization and inversion theorems for a generalized Radon transform},
  author = {Alexey Agaltsov},
  journal= {arXiv preprint arXiv:1403.7931},
  year   = {2014}
}

Comments

17 pages, translation from Russian

R2 v1 2026-06-22T03:38:52.915Z