5 citations · 8 across the 6 of their papers we have counts for
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High frequency stability estimates for a partial data inverse problem
Anupam Pal Choudhury, Venkateswaran P. Krishnan
In this article, high frequency stability estimates for the determination of the potential in the Schrödinger equation are studied when the boundary measurements are made on slight…
A uniqueness result for light ray transform on symmetric 2-tensor fields
Venkateswaran P Krishnan, Soumen Senapati, Manmohan Vashisth
We study light ray transform of symmetric 2-tensor fields defined on a bounded time-space domain in for . We prove a uniqueness result for such light ra…
Momentum Ray Transforms, II: Range Characterization In the Schwartz space
Venkateswaran P. Krishnan, Ramesh Manna, Suman Kumar Sahoo +1
The momentum ray transform integrates a rank symmetric tensor field over lines of with the weight : $ (I^k\!f)(x,ξ)=\int_{-\infty}^\infty t^kłf(x+tξ),ξ^…
Microlocal inversion of a 3-dimensional restricted transverse ray transform of symmetric -tensor fields
Venkateswaran P. Krishnan, Rohit Kumar Mishra, Suman Kumar Sahoo
We study the problem of inverting a restricted transverse ray transform to recover a symmetric -tensor field in using microlocal analysis techniques. More precise…
Momentum ray transforms
Venkateswaran P. Krishnan, Ramesh Manna, Suman Kumar Sahoo +1
The momentum ray transform integrates a rank symmetric tensor field over lines with the weight : $ (I^k\!f)(x,ξ)=\int_{-\infty}^\infty t^k\langle f(x+tξ),ξ^m\ran…
Microlocal analysis of a restricted ray transform on symmetric -tensor fields in
Venkateswaran P. Krishnan, Rohit Kumar Mishra
We study the microlocal inversion of the ray transform on symmetric -tensor fields restricted to all lines passing through a curve in . From this incomplete data…