The Nazarov proof of the non-symmetric Bourgain-Milman inequality

DOI10.1512/IUMJ.2024.73.9919MaRDI QIDQ6609510

Vlassis Mastrantonis, Yanir A. Rubinstein

Publication date: 23 September 2024

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

zbMATH Keywords

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Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

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• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• Ein Übertragungsprinzip für konvexe Körper.
• Bergman kernels for Paley-Wiener spaces and Nazarov's proof of the Bourgain-Milman theorem
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• The Hörmander Proof of the Bourgain–Milman Theorem
• Equipartitions and Mahler volumes of symmetric convex bodies
• Asymptotic Geometric Analysis, Part I
• Riemannian Geometry
• Convex Bodies The Brunn-MinkowskiTheory
• Domains of positivity

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