Accessible Unlicensed Requires Authentication Published by De Gruyter October 20, 2010

On the inversion formulas of Pestov and Uhlmann for the geodesic ray transform

Venkateswaran P. Krishnan
From the journal

Abstract

We generalize the inversion formulas obtained by Pestov–Uhlmann for the geodesic ray transform of functions and vector fields on 2-dimensional manifolds with boundary of constant curvature. Our formulas hold for simple 2-dimensional manifolds whose curvatures are close to a constant.

Received: 2009-08-30
Published Online: 2010-10-20
Published in Print: 2010-October

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