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math.AP2025
Singularly Weighted X-ray Tensor Tomography
Jonathan Kay, François Monard
If is a boundary defining function for the Euclidean unit disk and denotes the geodesic X-ray transform, for , we study the singularly-weighted X-ray transform…
math.DG2025
Tensor Tomography on Asymptotically Hyperbolic Surfaces
Nikolas Eptaminitakis, François Monard, Yuzhou Joey Zou
We initiate a study of the inversion of the geodesic X-ray transform over symmetric -tensor fields on asymptotically hyperbolic surfaces. This operator has a non-trivial k…