D'Alembert \(\mu\)-functions on semigroups

DOI10.1007/S00013-021-01693-YzbMath1489.39032OpenAlexW4205908480MaRDI QIDQ2113941

M. Ayoubi, Driss Zeglami

Publication date: 14 March 2022

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-021-01693-y

zbMATH Keywords

functional equationsemigroupd'Alembert equationanti-endomorphism

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items (2)

A functional equation for the cosine on semigroups with endomorphisms ⋮ Kannappan's integral equation with an anti-endomorphism

Cites Work

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• A note on Wilson's functional equation
• The algebraic small dimension lemma with an anti-homomorphism on semigroups
• D'Alembert's functional equations on monoids with an anti-endomorphism
• The small dimension lemma and d'Alembert's equation on semigroups
• D'Alembert's functional equation on groups
• Functional Equations and Fourier Analysis
• D'Alembert's functional equation on monoids with both an endomorphism and an anti-endomorphism
• Functional Equations on Groups
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups

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