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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…
d-plane transform: unique and non-unique continuation
Divyansh Agrawal, Nisha Singhal
The -plane transform maps functions to their integrals over -planes in . We study the following question: if a function vanishes in a bounded open set, and its…
On the null space of the backprojection operator and Rubin's conjecture for the spherical mean transform
Divyansh Agrawal, Gaik Ambartsoumian, Venkateswaran P. Krishnan +1
The spherical mean transform associates to a function its integral averages over all spheres. We consider the spherical mean transform for functions supported in the unit ball…
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…