On extending functions to solutions of some functional equations

DOI10.1007/BF02188182zbMath0604.39005OpenAlexW4234044969MaRDI QIDQ1083625

Maciej Sablik

Publication date: 1986

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137152

zbMATH Keywords

Cauchy functional equationextension of functionsD'Alembert functional equationslinear space over rationals

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (2)

Generating solutions of some Cauchy and cosine functional equations ⋮ Basic sets for some basic functional equations

Cites Work

• Ein gruppentheoretisches Kriterium für die Loesbarkeit der Funktionalgleichung f(x+y)=F(f(x),f(y))
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
• On some properties of polynomial functions
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