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arXiv:math/0609336 [math.RT]AbstractReferencesReviewsResources

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

Sigurdur Helgason

Published 2006-09-12, updated 2006-12-14Version 6

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.

Comments: 11 pages
Categories: math.RT, math.DG
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