The chain rule as a functional equation

DOI10.1016/J.JFA.2010.07.002zbMath1203.39014OpenAlexW2028062149MaRDI QIDQ600970

Shiri Artstein-Avidan, Vitali D. Milman, Hermann Koenig

Publication date: 3 November 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.07.002

zbMATH Keywords

functional equationchain rule

Mathematics Subject Classification ID

Functional equations for real functions (39B22) Matrix and operator functional equations (39B42)

Related Items (11)

Rigidity of the Chain Rule and Nearly Submultiplicative Functions ⋮ Submultiplicative functions and operator inequalities ⋮ Convex geometry and its applications. Abstracts from the workshop held December 12--18, 2021 (hybrid meeting) ⋮ Comments on various extensions of the Riemann-Liouville fractional derivatives: about the Leibniz and chain rule properties ⋮ Rigidity and stability of the Leibniz and the chain rule ⋮ Operator equations and domain dependence, the case of the Schwarzian derivative ⋮ Operator Functional Equations in Analysis ⋮ Characterizing the derivative and the entropy function by the Leibniz rule ⋮ The chain rule functional equation on \(\mathbb R^n\) ⋮ A functional equation characterizing the second derivative ⋮ An operator equation characterizing the Laplacian

Cites Work

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• The concept of duality for measure projections of convex bodies
• A characterization of product preserving maps with applications to a characterization of the Fourier transform
• The concept of duality in convex analysis, and the characterization of the Legendre transform

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