Complex integrals and Kuperberg's proof of the Bourgain-Milman theorem

DOI10.1016/j.aim.2021.107927zbMath1475.52010arXiv2008.00838OpenAlexW3184220678WikidataQ114211588 ScholiaQ114211588MaRDI QIDQ2042029

Bo Berndtsson

Publication date: 26 July 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00838

zbMATH Keywords

Legendre transformconvex bodyMahler conjecture

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Inequalities and extremum problems involving convexity in convex geometry (52A40)

Related Items (1)

Transport proofs of some functional inverse Santaló inequalities

Cites Work

• Unnamed Item
• The isotropic position and the reverse Santaló inequality
• Some functional inverse Santaló inequalities
• From the Mahler conjecture to Gauss linking integrals
• The bottleneck conjecture
• An inequality for Fourier-Laplace transforms of entire functions, and the existence of exponential frames in Fock space
• New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)
• Geometry of log-concave functions and measures
• Bergman kernels for Paley-Wiener spaces and Nazarov's proof of the Bourgain-Milman theorem
• The Hörmander Proof of the Bourgain–Milman Theorem
• The Santaló point of a function, and a functional form of the Santaló inequality

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