Tensor tomography on surfaces
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- Paternain, G.P., Salo, M. & Uhlmann, G. Invent. math. (2013) 193: 229. doi:10.1007/s00222-012-0432-1
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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.