Inversion formula, Unique continuation property, and range characterization of the mixed ray transform in $\mathbb{R}^2$
| Autor: | Mishra, Rohit Kumar, Sahoo, Suman Kumar, Thakkar, Chandni |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. |
| Databáze: | arXiv |
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