Hidden structures in the class of convex functions and a new duality transform

DOI10.4171/JEMS/273zbMath1221.26018MaRDI QIDQ550562

Shiri Artstein-Avidan, Vitali D. Milman

Publication date: 12 July 2011

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

zbMATH Keywords

dualityconvex functionsconvexity in \(\mathbb{R}^n\)

Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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Cites Work

• Unnamed Item
• The concept of duality for measure projections of convex bodies
• A characterization of the concept of duality
• A characterization of the duality mapping for convex bodies
• The endomorphisms of the lattice of convex bodies
• The endomorphisms of the lattice of norms in finite dimensions
• Convex set functions in \(d\)-space
• The concept of duality in convex analysis, and the characterization of the Legendre transform
• Geometry of log-concave functions and measures
• Logarithmically concave functions and sections of convex sets in $R^{n}$
• Marginals of Geometric Inequalities
• The Santaló point of a function, and a functional form of the Santaló inequality

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