Radon’s problem for a family of curves in R² has been generalized to a family of $(n - 1)$-dimensional surfaces in Rⁿ. The problem is posed as a set of integral equations. Solutions to these equations are given for paraboloids and cardioids, and for these cases the null spaces and consistency conditions have been found.
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A. M. Cormack (1987) studied this question.
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