A Fourier analytic proof of the Blaschke-Santaló Inequality

Bianchi, Gabriele; Kelly, Michael

doi:10.1090/proc/12785

A Fourier analytic proof of the Blaschke-Santaló Inequality
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by Gabriele Bianchi and Michael Kelly

Proc. Amer. Math. Soc. 143 (2015), 4901-4912

DOI: https://doi.org/10.1090/proc/12785

Published electronically: July 10, 2015

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Abstract:

The Blaschke-Santaló 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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