A generalization of inversion formulas of Pestov and Uhlmann
Differential Geometry
2007-12-11 v1 Classical Analysis and ODEs
Abstract
In this note, we give a generalization of the inversion formulas of Pestov-Uhlmann for the geodesic ray transform of functions and vector fields on simple 2-dimensional manifolds of constant curvature. The inversion formulas given here hold for 2-dimensional simple manifolds whose curvatures close to a constant.
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Cite
@article{arxiv.0712.1296,
title = {A generalization of inversion formulas of Pestov and Uhlmann},
author = {Venkateswaran P. Krishnan},
journal= {arXiv preprint arXiv:0712.1296},
year = {2007}
}
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6 pages