Double Fibration Transforms: Geometry and Microlocal Analysis
Shubham R. Jathar, Jesse Railo
Abstract
Double fibration transforms integrate functions over families of submanifolds. We survey the recovery of singularities by both classical normal operator methods and direct analytic methods. We also discuss support theorems, injectivity and applications to geodesic ray transforms, seismic inversion and minimal surface data.
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