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Tensor tomography on surfaces |
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| Authors: | Gabriel P Paternain Mikko Salo Gunther Uhlmann |
| Institution: | 1. Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, CB3 0WB, UK 2. Department of Mathematics and Statistics, University of Jyv?skyl?, 40014, Jyv?skyl?, Finland 3. Department of Mathematics, University of Washington, Seattle, WA, 98195-4350, USA 4. Department of Mathematics, University of California, Irvine, CA, 92697, USA |
| Abstract: | 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. |
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