Algebraically integrable bodies and related properties of the Radon transform
Metric Geometry
2022-12-21 v2 Classical Analysis and ODEs
Abstract
Generalizing Lemma 28 from Newton's ``Principia", Arnold asked for a complete characterization of algebraically integrable domains. In this paper we describe the current state of Arnold's problems. We also consider closely related problems about the Radon transform of indicator functions.
Keywords
Cite
@article{arxiv.2212.07510,
title = {Algebraically integrable bodies and related properties of the Radon transform},
author = {Mark Agranovsky and Jan Boman and Alexander Koldobsky and Victor Vassiliev and Vladyslav Yaskin},
journal= {arXiv preprint arXiv:2212.07510},
year = {2022}
}