Pompeiu's functional equations between unital algebras

DOI10.1007/s13370-023-01116-xOpenAlexW4387974887MaRDI QIDQ6062907

Y. Aissi, Driss Zeglami, A. Mouzoun

Publication date: 2 December 2023

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-023-01116-x

zbMATH Keywords

Cauchy equationhomomorphismlinear algebramultiplicative functionPompeiu functional equationadditive functionmatrix functional equation

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional equations for complex functions (39B32) Matrix and operator functional equations (39B42)

Cites Work

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• Functional equations on abelian groups with involution
• On generalizations of the Pompeiu functional equation
• Reformulation of some functional equations in the space of Gevrey distributions and regularity of solutions
• A variant of d'Alembert's matrix functional equation
• D'Alembert's matrix functional equation with an endomorphism on abelian groups
• D'Alembert's other functional equation on monoids with an involution
• Generalized Pompeiu equation in distributions
• Wilson’s functional equation for vector and matrix functions
• Functional Equations and Inequalities with Applications
• The Cauchy Functional Equations in Distributions
• D'Alembert's and Wilson's functional equations for vector and $2\times 2$ matrix valued functions
• Functional Equations on Groups
• On a generalized Pompeiu functional equation

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