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math.AP2026
A Unified Range Characterization for the Spherical mean transform
Pradipta Chatterjee, Nisha Singhal, Abhilash Tushir
In this article, we investigate the range characterization for the spherical mean transform (SMT) of functions supported in the unit ball. In earlier works, in the case of odd dime…
math.AP2026
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…