Support theorems for the light ray transform on analytic Lorentzian manifolds
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Abstract:
We study the weighted ray transform of integrating functions on a Lorentzian manifold over lightlike geodesics. We prove support theorems if the manifold and the weight are analytic.References
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Additional Information
- Plamen Stefanov
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- MR Author ID: 166695
- Received by editor(s): October 18, 2015
- Received by editor(s) in revised form: January 18, 2016
- Published electronically: November 29, 2016
- Additional Notes: This work was partly supported by an NSF Grant DMS-1301646
- Communicated by: Michael Hitrik
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 1259-1274
- MSC (2010): Primary 53C65
- DOI: https://doi.org/10.1090/proc/13117
- MathSciNet review: 3589324