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Tensor tomography on surfaces

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Gabriel, P., Salo, M., & Gunther, U. (2013). Tensor tomography on surfaces. Inventiones mathematicae, 193 (1), 229-247. doi:10.1007/s00222-012-0432-1
Published in
Inventiones mathematicae
Authors
Gabriel, Paternain |
Salo, Mikko |
Gunther, Uhlmann
Date
2013
Discipline
Matematiikka
Copyright
© Springer-Verlag Berlin Heidelberg 2012. This is a final draft version of an article whose final and definitive form has been published by Springer. Published in this repository with the kind permission of the publisher.

 
We show that on simple surfaces the geodesic ray transform acting on solenoidal symmetric tensor fields of arbitrary order is injective. This solves a long standing inverse problem in the two-dimensional case.
Publisher
Springer
ISSN Search the Publication Forum
0020-9910
Keywords
inversio-ongelmat differentiaaligeometria sädemuunnos inverse problems differential geometry ray transform
DOI
10.1007/s00222-012-0432-1
URI

http://urn.fi/URN:NBN:fi:jyu-201801121166

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