
Journal of Lie Theory 17 (2007), No. 2, 307315 Copyright Heldermann Verlag 2007 The Inversion of the Xray Transform on a Compact Symmetric Space Sigurdur Helgason Dept. of Mathematics, Massachusetts Inst. of Technology, Cambridge, MA 02139, U.S.A. helgason@mit.edu The Xray 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 a previous paper of the author ["Totally geodesic spheres in compact symmetric spaces", Math. Ann. 165 (1966), 309317]. Keywords: Compact symmetric spaces, Funk transform, Radon transform, Xray transform. MSC: 22E30, 43A85, 44A12, 53C65; 22E46, 53C35 [ Fulltextpdf (170 KB)] for subscribers only. 