D'Alembert's and Wilson's functional equations for vector and $2\times 2$ matrix valued functions

DOI10.7146/MATH.SCAND.A-14302zbMath0968.39012OpenAlexW1539244578MaRDI QIDQ4521937

Henrik Stetkaer

Publication date: 19 September 2001

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7146/math.scand.a-14302

zbMATH Keywords

topological groupfunctional equationAbelian groupsmatrix valued functionsD'Alembert functional equationWilson's functional equations

Mathematics Subject Classification ID

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

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A parametric functional equation originating from number theory ⋮ Ulam-Hyers stability of trigonometric functional equation with involution ⋮ 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 ⋮ Solution of several functional equations on nonunital semigroups using Wilson's functional equations with involution ⋮ 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 ⋮ Matrix homomorphism equations on a class of monoids and non abelian groupoids

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