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- W2012174313 abstract "The k-dimensional totally geodesic Radon transform on the unit sphere Sn and the corresponding cosine transform can be regarded as members of the analytic family of intertwining fractional integrals Rαf(ξ)=γn,k(α)∫Snf(x)sind(x,ξ)α+k−ndx, d(x,ξ) being the geodesic distance between x∈Sn and the k-geodesic ξ. We develop a unified approach to the inversion of Rαf for all α⩾0,1⩽k⩽n−1,n⩾2. The cases of smooth f and f∈Lp are considered. A series of new inversion formulas is obtained. The convolution–backprojection method is developed." @default.
- W2012174313 created "2016-06-24" @default.
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- W2012174313 date "2002-10-01" @default.
- W2012174313 modified "2023-09-27" @default.
- W2012174313 title "Inversion formulas for the spherical Radon transform and the generalized cosine transform" @default.
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- W2012174313 doi "https://doi.org/10.1016/s0196-8858(02)00028-3" @default.
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