A Fourier analytic proof of the Blaschke-Santaló Inequality

DOI10.1090/proc/12785zbMath1322.52007arXiv1312.0244OpenAlexW3100090524MaRDI QIDQ2944864

Michael Kelly, Gabriele Bianchi

Publication date: 8 September 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0244

Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (6)

Wiener's problem for positive definite functions ⋮ Delsarte’s extremal problem and packing on locally compact Abelian groups ⋮ The Grassmannian \(L_p\)-sine Blaschke-Santaló inequality ⋮ Asymmetric Blaschke-Santaló functional inequalities ⋮ Turán, Fejér and Bohman extremal problems for the multivariate Fourier transform in terms of the eigenfunctions of a Sturm-Liouville problem ⋮ Fourier optimization and prime gaps

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