Inversion formula, unique continuation property, and range characterization of the mixed ray transform in R2
Source
arXiv
Date Issued
2024-04-01
Author(s)
Mishra, Rohit Kumar
Sahoo, Suman Kumar
Thakkar, Chandni
Abstract
In this article, we study various aspects of the mixed ray transform of (k+?)-tensor fields that are symmetric in its first k and last ? indices. As a first result, we derive an inversion algorithm to recover the solenoidal part of the unknown tensor field using the normal operator of the mixed ray transform. Next, we establish a set of unique continuation results. In addition to these, we discuss the range characterization of the mixed ray transform as the final result.
