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- W2051138215 abstract "In this paper, we give a simple inversion formula for determining the even part of a function from its averages over the surfaces of spheres in $mathbb{R}^n $, centered on a hyperplane $y = 0$. We emphasize the relation between the backprojection approximation to the function and the full inversion result. A simple necessary and sufficient condition for data to correspond to the spherical averages of a function is given." @default.
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- W2051138215 date "1985-04-01" @default.
- W2051138215 modified "2023-09-30" @default.
- W2051138215 title "Inversion of<i>N</i>-Dimensional Spherical Averages" @default.
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- W2051138215 doi "https://doi.org/10.1137/0145018" @default.
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