Unique continuation for the momentum ray transform
arXiv:2304.00327 · doi:10.1007/s00041-025-10149-8
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.