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math.AP2025
Guillarmou's Normal Operator for Magnetic and Thermostat Flows
Sebastián Muñoz-Thon, Sean Richardson
Guillarmou's normal operator over a closed Anosov manifold is analogous to the classical normal operator of the geodesic X-ray transform over manifolds with boundary. In this paper…
math.DG2025
An inversion formula for the X-ray normal operator over closed hyperbolic surfaces
Sean Richardson
We construct an explicit inversion formula for Guillarmou's normal operator on closed surfaces of constant negative curvature. This normal operator can be defined as a weak limit f…