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arxiv: 1312.0244 · v3 · pith:QE3UB2ANnew · submitted 2013-12-01 · 🧮 math.MG · math.FA

The Blaschke-Santalo Inequality

classification 🧮 math.MG math.FA
keywords inequalityanalyticassertionblaschke-santalblaschke-santalobodycentrallyconvex
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The Blaschke-Santal\'o Inequality is the assertion that the volume product of a centrally symmetric convex body in Euclidean space is maximized by (and only by) ellipsoids. In this paper we give a Fourier analytic proof of this fact.

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