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An extension of a result by Lonke to intersection bodies
Authors:M. Angeles Alfonseca
Affiliation:Department of Mathematics, North Dakota State University, P.O. Box 6050, Fargo, ND, United States
Abstract:In this paper we prove that intersection bodies cannot be direct sums using Fourier analytic techniques. This extends a result by Lonke. We also prove a necessary regularity condition and a convexity condition for a body of revolution to be an intersection body of a star body.
Keywords:Intersection bodies   Bodies of revolution
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