25 citations · 115 across the 31 of their papers we have counts for
35 papers
A constructive approach to range characterization of spherical mean transform in odd dimensions
Pradipta Chatterjee, Venkateswaran P. Krishnan, Abhilash Tushir
This work focuses on range characterization of spherical mean transform (SMT) in odd-dimension Euclidean space. In a recent work, a simpler description characterizing the range of…
Microlocal analysis of Radon transforms over quadric surfaces
Gaik Ambartsoumian, Raluca Felea, Venkateswaran P. Krishnan +2
We study the microlocal properties of generalized Radon transforms over a family of quadric hypersurfaces whose centers lie on an orientable hypersurface . The quadric surfaces…
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…
A simple range characterization for spherical mean transform in even dimensions
Divyansh Agrawal, Gaik Ambartsoumian, Venkateswaran P. Krishnan +1
The paper presents a new and simple range characterization for the spherical mean transform of functions supported in the unit ball in even dimensions. It complements the previous…
Ray transform of symmetric tensor fields on Riemannian manifolds with conjugate points
Sean Holman, Venkateswaran P. Krishnan
In this article, we study the microlocal properties of the geodesic ray transform of symmetric -tensor fields on 2-dimensional Riemannian manifolds with boundary allowing the po…