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arXiv:math/9204212 [math.FA]AbstractReferencesReviewsResources

The volume of the intersection of a convex body with its translates

Mathieu Meyer, Shlomo Reisner, M. Schmuckenschlager

Published 1992-04-14Version 1

It is proved that for a symmetric convex body K in R^n, if for some tau > 0, |K cap (x+tau K)| depends on ||x||_K only, then K is an ellipsoid. As a part of the proof, smoothness properties of convolution bodies ls are studied.

Categories: math.FA
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Frames of translates

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