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The inversion of the X-ray Transform on a Compact Symmetric Space

Sigurdur Helgason
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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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Sigurdur Helgason. 2006-12-14. The inversion of the X-ray Transform on a Compact Symmetric Space. https://arxiv.org/abs/math/0609336

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