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.
A Fourier analytic proof of the Blaschke-Santalo Inequality / Gabriele Bianchi; Michael Kelly. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 143:(2015), pp. 4901-4912. [10.1090/proc/12785]
A Fourier analytic proof of the Blaschke-Santalo Inequality
BIANCHI, GABRIELE;
2015
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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