The Light Ray Transform on Lorentzian Manifolds

被引：0
|
作者：
Matti Lassas
Lauri Oksanen
Plamen Stefanov
Gunther Uhlmann
机构：
[1] University of Helsinki,Department of Mathematics and Statistics
[2] University College London,Department of Mathematics
[3] Purdue University,Department of Mathematics
[4] University of Washington,Department of Mathematics
[5] IAS,undefined
[6] HKUST,undefined
来源：
Communications in Mathematical Physics | 2020年 / 377卷
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摘要：
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.
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页码：1349 / 1379
页数：30
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