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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Support theorems for the light ray transform on analytic Lorentzian manifolds
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by Plamen Stefanov PDF
Proc. Amer. Math. Soc. 145 (2017), 1259-1274 Request permission

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.
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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