The inversion of the X-ray Transform on a Compact Symmetric Space
Representation Theory
2007-05-23 v6 Differential Geometry
Abstract
The X-ray transform on a compact symmetric space M is here inverted by means of an explicit inversion formula. The proof uses the conjugacy of the minimal closed geodesics in M and of the maximally curved totally geodesic spheres in M, proved in Math. Ann. 165 (1966), 309--317.
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Cite
@article{arxiv.math/0609336,
title = {The inversion of the X-ray Transform on a Compact Symmetric Space},
author = {Sigurdur Helgason},
journal= {arXiv preprint arXiv:math/0609336},
year = {2007}
}
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11 pages