2 papers
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…