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

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

2006-09-12

arxiv.org/abs/math/0609336v6

Mathematics

Representation Theory

11 pages

Scientific paper

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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