A functional analytic approach to intersection bodies |
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| Authors: | A Koldobsky |
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| Institution: | (1) Department of Mathematics, University of Missouri-Columbia, Columbia MO 65211, USA, e-mail: koldobsk@math.missouri.edu, US |
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| Abstract: | We consider several generalizations of the concept of an intersection body and show their connections with the Fourier transform
and embeddings in L
p
-spaces. These connections lead to generalizations of the recent solution to the Busemann—Petty problem on sections of convex
bodies.
Submitted: October 1999, Revision: December 1999. |
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| Keywords: | |
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