5 citations · 8 across the 10 of their papers we have counts for
3 papers · 1 filter
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…