A variant of d'Alembert's matrix functional equation

DOI10.2478/amsil-2020-0025zbMath1467.39017OpenAlexW3117020816MaRDI QIDQ2035010

Driss Zeglami, M. Ayoubi, Y. Aissi

Publication date: 23 June 2021

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2020-0025

zbMATH Keywords

characterlinear algebraquadratic equationmorphismd'Alembertmatrix functional equationsymmetrized additive Cauchy equation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Matrix and operator functional equations (39B42)

Related Items (4)

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

Cites Work

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• Wilson's functional equation on monoids with involutive automorphisms
• Functional equations on abelian groups with involution
• Simultaneous triangularization
• A variant of d'Alembert's functional equation
• A variant of Wilson's functional equation
• Wilson’s functional equation for vector and matrix functions
• A variant of the quadratic functional equation on semigroups
• Functional equations on Abelian groups
• D'Alembert's and Wilson's functional equations for vector and $2\times 2$ matrix valued functions
• Functional Equations on Groups
• On operator-valued solutions of d'Alembert's functional equation, I

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