Unique continuation for the momentum ray transform
Analysis of PDEs
2025-03-11 v2
Abstract
The present article focuses on a unique continuation result for certain weighted ray transforms, utilizing the unique continuation property (UCP) of the fractional Laplace operator. Specifically, we demonstrate a conservative property for momentum ray transforms acting on tensors, as well as the antilocality property for both weighted ray and cone transforms acting on functions.
Cite
@article{arxiv.2304.00327,
title = {Unique continuation for the momentum ray transform},
author = {Joonas Ilmavirta and Pu-Zhao Kow and Suman Kumar Sahoo},
journal= {arXiv preprint arXiv:2304.00327},
year = {2025}
}