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Tensor tomography: Progress and challenges

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Abstract

The authors survey recent progress in the problem of recovering a tensor field from its integrals along geodesics. Several open problems are also proposed.

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Author information

Authors and Affiliations

  1. Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, CB3 0WB, UK

    Gabriel P. Paternain

  2. Department of Mathematics and Statistics, University of Jyväskylä, PO Box 35, 40014, Jyväskylä, Finland

    Mikko Salo

  3. Department of Mathematics, University of Washington and University of Helsinki, Box 354350, Seattle, Washington, 98195-4350, USA

    Gunther Uhlmann

Authors
  1. Gabriel P. Paternain
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  2. Mikko Salo
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  3. Gunther Uhlmann
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Corresponding author

Correspondence to Gabriel P. Paternain.

Additional information

This work was supported by the Academy of Finland, an ERC starting grant, the National Science Foundation and a Walker Family Endowed Professorship.

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Paternain, G.P., Salo, M. & Uhlmann, G. Tensor tomography: Progress and challenges. Chin. Ann. Math. Ser. B 35, 399–428 (2014). https://doi.org/10.1007/s11401-014-0834-z

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  • DOI: https://doi.org/10.1007/s11401-014-0834-z

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