7 citations · 13 across the 7 of their papers we have counts for
8 papers
The matrix weighted real-analytic double fibration transforms
Hiroyuki Chihara, Shubham R. Jathar, Jesse Railo
We show that the real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function. We apply this result to show that the m…
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 -tensor field can be recovered pointwise from partial data of the -th weighted divergent ray transform for any $k \in \mathbb…
Inverse Problems for Twisted Geodesic Flows
Shubham R. Jathar, Jesse Railo
The article surveys inverse problems related to the twisted geodesic flows on Riemannian manifolds with boundary, focusing on the generalized ray transforms, tensor tomography, and…
Survey on Broken Ray Transforms
Shubham R. Jathar, Jesse Railo
We survey recent developments in the theory and applications of the broken ray transforms. Furthermore, we discuss some open problems.
Normal operators for momentum ray transforms, II: Saint Venant operator
Shubham R. Jathar, Manas Kar, Venkateswaran P. Krishnan +1
The momentum ray transform integrates a rank symmetric tensor field on over lines with the weight , $I_m^kf(x,ξ)=\int_{-\infty}^\infty t^k\lang…
Normal operators for momentum ray transforms, I: The inversion formula
Shubham R. Jathar, Manas Kar, Venkateswaran P. Krishnan +1
The momentum ray transform integrates a rank symmetric tensor field on over lines with the weight , $I_m^kf(x,ξ)=\int_{-\infty}^\infty t^k\langle…
Loop group factorization method for the magnetic and thermostatic nonabelian ray transforms
Shubham R. Jathar, Manas Kar, Jesse Railo
We study the injectivity of the matrix attenuated and nonabelian ray transforms on compact surfaces with boundary for nontrapping -geodesic flows and the general linear group of…
Broken ray transform for twisted geodesics on surfaces with a reflecting obstacle
Shubham R. Jathar, Manas Kar, Jesse Railo
We prove a uniqueness result for the broken ray transform acting on the sums of functions and -forms on surfaces in the presence of an external force and a reflecting obstacle.…