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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Radon's problem for some surfaces in $ {\bf R}\sp n$


Author: A. M. Cormack
Journal: Proc. Amer. Math. Soc. 99 (1987), 305-312
MSC: Primary 44A15; Secondary 44A05, 45A05, 92A07
MathSciNet review: 870790
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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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1987-0870790-6
PII: S 0002-9939(1987)0870790-6
Keywords: Radon transform, integral equations
Article copyright: © Copyright 1987 American Mathematical Society