3 papers
math.AP2026
The matrix weighted real-analytic double fibration transforms
Hiroyuki Chihara, Shubham R. Jathar, Jesse Railo
We show that the real-analytic matrix-weighted double fibration transform determines the analytic wavefront set of a vector-valued function. We apply this result to show that the m…
math.DG2024
Inverse Problems for Twisted Geodesic Flows
Shubham R. Jathar, Jesse Railo
The article surveys inverse problems related to the twisted geodesic flows on Riemannian manifolds with boundary, focusing on the generalized ray transforms, tensor tomography, and…
math.DG2024
Survey on Broken Ray Transforms
Shubham R. Jathar, Jesse Railo
We survey recent developments in the theory and applications of the broken ray transforms. Furthermore, we discuss some open problems.