On the Determination of Star Bodies from Their Half-Sections
Functional Analysis
2017-03-22 v1
Abstract
We obtain explicit inversion formulas for the Radon-like transform that assigns to a function on the unit sphere the integrals of that function over hemispheres lying in lower dimensional central cross-sections. The results are applied to determination of star bodies from the volumes of their central half-sections.
Keywords
Cite
@article{arxiv.1609.02205,
title = {On the Determination of Star Bodies from Their Half-Sections},
author = {Boris Rubin},
journal= {arXiv preprint arXiv:1609.02205},
year = {2017}
}
Comments
7 pages