5 papers
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…
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…