Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds
Ilmavirta, J., Lehtonen, J., & Salo, M. (2020). Geodesic X-ray tomography for piecewise constant functions on nontrapping manifolds. Mathematical Proceedings of the Cambridge Philosophical Society, 168(1), 29-41. https://doi.org/10.1017/S0305004118000543
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2020Copyright
© Cambridge Philosophical Society 2018
We show that on a two-dimensional compact nontrapping manifold with strictly convex boundary, a piecewise constant function is determined by its integrals over geodesics. In higher dimensions, we obtain a similar result if the manifold satisfies a foliation condition. These theorems are based on iterating a local uniqueness result. Our proofs are elementary.
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Cambridge University PressISSN Search the Publication Forum
0305-0041Keywords
Publication in research information system
https://converis.jyu.fi/converis/portal/detail/Publication/28650775
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