Matti Lassas, Lauri Oksanen, Plamen Stefanov, Gunther Uhlmann
Published 2019-07-04Version 1
We study the weighted light ray transform $L$ of integrating functions on a Lorentzian manifold over lightlike geodesics. We analyze $L$ as a Fourier Integral Operator and show that if there are no conjugate points, one can recover the spacelike singularities of a function $f$ from its the weighted light ray transform $Lf$ by a suitable filtered back-projection.
Artifacts in the inversion of the broken ray transform in the plane
The weak (1,1) boundedness of Fourier integral operators with complex phases
On traces of Fourier integral operators localized at a finite set of points
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