| dc.contributor.author |
Mishra, Rohit Kumar |
|
| dc.contributor.author |
Sahoo, Suman Kumar |
|
| dc.contributor.author |
Thakkar, Chandni |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2025-05-16T05:55:33Z |
|
| dc.date.available |
2025-05-16T05:55:33Z |
|
| dc.date.issued |
2025-10 |
|
| dc.identifier.citation |
Mishra, Rohit Kumar; Sahoo, Suman Kumar and Thakkar, Chandni, "Inversion formula, unique continuation property, and range characterization of the mixed ray transform in R2", Journal of Mathematical Analysis and Applications, DOI: 10.1016/j.jmaa.2025.129637, vol. 550, no. 02, Oct. 2025. |
|
| dc.identifier.issn |
0022-247X |
|
| dc.identifier.issn |
1096-0813 |
|
| dc.identifier.uri |
https://doi.org/10.1016/j.jmaa.2025.129637 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/11410 |
|
| dc.description.abstract |
In this article, we study various aspects of the mixed ray transform of (k + l)-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. |
|
| dc.description.statementofresponsibility |
by Rohit Kumar Mishra, Suman Kumar Sahoo and Chandni Thakkar |
|
| dc.format.extent |
vol. 550, no. 02 |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Elsevier |
|
| dc.subject |
Mixed ray transform |
|
| dc.subject |
Normal operator |
|
| dc.subject |
Unique continuation |
|
| dc.subject |
Range characterization |
|
| dc.title |
Inversion formula, unique continuation property, and range characterization of the mixed ray transform in R2 |
|
| dc.type |
Article |
|
| dc.relation.journal |
Journal of Mathematical Analysis and Applications |
|