Chandni Thakkar

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20242026

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math.AP2024

Microlocal inversion of a restricted mixed ray transform for second-order tensor fields in $R^{3}$

Chandni Thakkar

In this article, we study a restricted mixed ray transform acting on second-order tensor fields in 3-dimensional Euclidean space and prove the invertibility of this integral transf…

math.AP2024

Inversion formula, Unique continuation property, and range characterization of the mixed ray transform in $R^{2}$

Rohit Kumar Mishra, Suman Kumar Sahoo, Chandni Thakkar

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, w…

math.CA2024

Inversion of a restricted transverse ray transform with sources on a curve

Rohit Kumar Mishra, Chandni Thakkar

In this paper, a restricted transverse ray transform acting on vector and symmetric $m$ -tensor fields is studied. We developed inversion algorithms using restricted transverse ray…

Microlocal inversion of a restricted mixed ray transform for second-order tensor fields in R3

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

Inversion of a restricted transverse ray transform with sources on a curve

Microlocal inversion of a restricted mixed ray transform for second-order tensor fields in $R^{3}$

Inversion formula, Unique continuation property, and range characterization of the mixed ray transform in $R^{2}$