Wilson’s functional equation for vector and matrix functions

DOI10.1090/S0002-9939-97-03685-XzbMath0864.39008OpenAlexW1481485393MaRDI QIDQ3127292

Pavlos Sinopoulos

Publication date: 8 April 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03685-x

zbMATH Keywords

Wilson's functional equationparallelogram lawmatrix functionsd'Alembert functional equation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62) Matrix and operator functional equations (39B42)

Related Items (7)

A parametric functional equation originating from number theory ⋮ D'Alembert's \(\mu\)-matrix functional equation on groups with an anti-endomorphism ⋮ Pompeiu's functional equations between unital algebras ⋮ On a Wilson Vector-Matrix Functional Equation ⋮ D'Alembert's matrix functional equation with an endomorphism on abelian groups ⋮ A variant of d'Alembert's and Wilson's functional equations for \(2\times 2\) matrix valued functions ⋮ A variant of d'Alembert's matrix functional equation

Cites Work

• The solution of the functional equation of d'Alembert's type for commutative groups
• Generalized sine equations. I
• Generalized sine equations. II
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