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- W1568962215 abstract "The paper deals with totally geodesic Radon transforms on constant curvature spaces. We study applicability of the historically the first Funk-Radon-Helgason method of mean value operators to reconstruction of continuous and $L^p$ functions from their Radon transforms. New inversion formulas involving Erdelyi-Kober type fractional integrals are obtained. Particular emphasis is placed on the choice of the differentiation operator in the spirit of the recent Helgason's formula." @default.
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- W1568962215 date "2013-01-01" @default.
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- W1568962215 title "On the Funk-Radon-Helgason Inversion Method in Integral Geometry" @default.
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- W1568962215 doi "https://doi.org/10.1090/conm/599/11908" @default.
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