Browsing by Author "Salo, Mikko"
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Invariant distributions, Beurling transforms and tensor tomography in higher dimensions
Paternain, Gabriel Pedro; Salo, Mikko; Uhlmann, Gunther (SpringerMathematische Annalen, 2015-02-01)In the recent articles [PSU13, PSU14c], a number of tensor tomography results were proved on two-dimensional manifolds. The purpose of this paper is to extend some of these methods to manifolds of any dimension. A central ...
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The X-ray transform for connections in negative curvature
Guillarmou, Colin; Paternain, Gabriel Pedro; Salo, Mikko; Uhlmann, Gunther (SpringerCommunications in Mathematical Physics, 2015-11-23)We consider integral geometry inverse problems for unitary connections and skew-Hermitian Higgs fields on manifolds with negative sectional curvature. The results apply to manifolds in any dimension, with or without boundary, ...