Manas Kar

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math.AP2024

Weighted Divergent Beam Ray Transform: Reconstruction, Unique continuation and Stability

Shubham R. Jathar, Manas Kar, Venkateswaran P. Krishnan +1

In this article, we establish that any symmetric $m$ -tensor field can be recovered pointwise from partial data of the $k$ -th weighted divergent ray transform for any $k \in \mathbb…

math.AP2024

Normal operators for momentum ray transforms, II: Saint Venant operator

Shubham R. Jathar, Manas Kar, Venkateswaran P. Krishnan +1

The momentum ray transform $I_{m}^{k}$ integrates a rank $m$ symmetric tensor field $f$ on $R^{n}$ over lines with the weight $t^{k}$ , $I_m^kf(x,ξ)=\int_{-\infty}^\infty t^k\lang…

math.AP2024

Normal operators for momentum ray transforms, I: The inversion formula

Shubham R. Jathar, Manas Kar, Venkateswaran P. Krishnan +1

The momentum ray transform $I_{m}^{k}$ integrates a rank $m$ symmetric tensor field $f$ on $R^{n}$ over lines with the weight $t^{k}$ , $I_m^kf(x,ξ)=\int_{-\infty}^\infty t^k\langle…