Inversion formula, unique continuation property, and range characterization of the mixed ray transform in R2

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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 2024-04-25T14:47:03Z
dc.date.available 2024-04-25T14:47:03Z
dc.date.issued 2024-04
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", arXiv, Cornell University Library, DOI: arXiv:2404.10753, Apr. 2024.
dc.identifier.uri http://arxiv.org/abs/2404.10753
dc.identifier.uri https://repository.iitgn.ac.in/handle/123456789/9982
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 ℓ 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.language.iso en_US
dc.publisher Cornell University Library
dc.title Inversion formula, unique continuation property, and range characterization of the mixed ray transform in R2
dc.type Article
dc.relation.journal arXiv


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