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MR1108651 (92j:53036) 53C65 (43A85 44A12)
Helgason, Sigurdur The totally-geodesic Radon transform on constant curvature spaces. Integral geometry and tomography (Arcata, CA, 1989), 141--149, Contemp. Math., 113, Amer. Math. Soc., Providence, RI, 1990.
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