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Bibliographic Details
Main Authors: Mishra, Rohit Kumar, Sahoo, Suman Kumar, Thakkar, Chandni
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.10753
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Table of Contents:
  • In this article, we study various aspects of the mixed ray transform of $(k + \ell)$-tensor fields that are symmetric in its first $k$ and last $\ell$ 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.