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math.CA2023
A simple range characterization for spherical mean transform in odd dimensions and its applications
Divyansh Agrawal, Gaik Ambartsoumian, Venkateswaran P. Krishnan +1
This article provides a novel and simple range description for the spherical mean transform of functions supported in the unit ball of an odd dimensional Euclidean space. The new d…
math.AP2023
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…