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math.DG2015
On the microlocal analysis of the geodesic X-ray transform with conjugate points
Sean Holman, Gunther Uhlmann
We study the microlocal properties of the geodesic X-ray transform on a manifold with boundary allowing the presence of conjugate points. Assuming that there are no s…
math.DG2009★ 3 cited
The weighted doppler transform
Sean Holman, Plamen Stefanov
We consider the tomography problem of recovering a covector field on a simple Riemannian manifold based on its weighted Doppler transformation over a family of curves . This is…