Lassas, M;
Oksanen, L;
Stefanov, P;
Uhlmann, G;
(2020)
The Light Ray Transform on Lorentzian Manifolds.
Communications in Mathematical Physics
10.1007/s00220-020-03703-6.
(In press).
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | The Light Ray Transform on Lorentzian Manifolds |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00220-020-03703-6 |
| Publisher version: | https://doi.org/10.1007/s00220-020-03703-6 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Science & Technology, Physical Sciences, Physics, Mathematical, Physics, INVERSE PROBLEM, STABLE DETERMINATION, INVISIBILITY, OPERATORS, FIELDS |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10095829 |
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