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Journal of the London Mathematical Society 1987 s2-36(2):314-326; doi:10.1112/jlms/s2-36.2.314
© 1987 by London Mathematical Society
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© Oxford University Press

Chord Functions of Convex Bodies

R. J. Gardner

Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia

Various theorems are proved to show that chord functions, or the generalized k-chord functions, at certain sets of points in the plane determine the shape of any convex body uniquely. Consideration is given to special values of k which relate to problems of the equichordal type.


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