3 papers
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.CA2025
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…
math.CA2025
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…