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A Fourier analytic proof of the Blaschke-Santaló Inequality


Authors: Gabriele Bianchi and Michael Kelly
Journal: Proc. Amer. Math. Soc. 143 (2015), 4901-4912
MSC (2010): Primary 52A40, 42A05, 46E22
DOI: https://doi.org/10.1090/proc/12785
Published electronically: July 10, 2015
MathSciNet review: 3391048
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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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Additional Information

Gabriele Bianchi
Affiliation: Dipartimento di Matematica e Informatica “U. Dini”, Università di Firenze
Email: gabriele.bianchi@unifi.it

Michael Kelly
Affiliation: Department of Mathematics, University of Texas
Email: mkelly@math.utexas.edu

DOI: https://doi.org/10.1090/proc/12785
Received by editor(s): February 10, 2014
Received by editor(s) in revised form: August 2, 2014
Published electronically: July 10, 2015
Communicated by: Alexander Iosevich
Article copyright: © Copyright 2015 American Mathematical Society