Radon’s problem for some surfaces in $\textbf {R}^ n$
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- by A. M. Cormack PDF
- Proc. Amer. Math. Soc. 99 (1987), 305-312 Request permission
Abstract:
Radon’s problem for a family of curves in ${R^2}$ has been generalized to a family of $(n - 1)$-dimensional surfaces in ${R^n}$. 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.References
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Additional Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 99 (1987), 305-312
- MSC: Primary 44A15; Secondary 44A05, 45A05, 92A07
- DOI: https://doi.org/10.1090/S0002-9939-1987-0870790-6
- MathSciNet review: 870790