4 papers · 1 filter
Explicit inversion of spherical Radon transforms in odd dimensions with partial radial data
Pradipta Chatterjee, Venkateswaran P. Krishnan, Abhilash Tushir
We derive an explicit inversion algorithm for the spherical Radon transform in odd dimensions with partial radial data. We prove that the reconstruction of the unknown function can…
Range characterization of the ray transform on Sobolev spaces of symmetric tensor fields in two dimensions
Divyansh Agrawal, Venkateswaran P. Krishnan, Vladimir A. Sharafutdinov
The ray transform integrates a symmetric rank tensor field on over lines. In the case of , the range characterization of the operator on w…
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…
Determination of Lower Order Perturbations of a Polyharmonic Operator in Two Dimensions
Rajat Bansal, Venkateswaran P. Krishnan, Rahul Raju Pattar
We study an inverse boundary value problem for a polyharmonic operator in two dimensions. We show that the Cauchy data uniquely determine all the anisotropic perturbations of order…