An operator equation characterizing the Laplacian

DOI10.1090/S1061-0022-2013-01257-XzbMath1273.47035MaRDI QIDQ2849192

Hermann Koenig, Vitali D. Milman

Publication date: 17 September 2013

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Laplace operatoroperator functional equationssecond order Leibniz rule

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Equations involving linear operators, with operator unknowns (47A62) Functional equations for functions with more general domains and/or ranges (39B52)

Related Items (2)

The derivation equation for \(C^k\)-functions: stability and localization ⋮ Operator Functional Equations in Analysis

Cites Work

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• Characterizing the derivative and the entropy function by the Leibniz rule
• The chain rule as a functional equation
• The concept of duality for measure projections of convex bodies
• A characterization of the concept of duality
• Multiplicative derivations on \(C(X)\)
• The concept of duality in convex analysis, and the characterization of the Legendre transform

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