Generating solutions of some Cauchy and cosine functional equations

DOI10.1007/BF02311310zbMath0619.39011MaRDI QIDQ1089534

Maciej Sablik

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/137186

zbMATH Keywords

systemextendability conditionCauchy functional equationscharacterization of free groupscosine functional equationsKannappan's theorem

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)

Basic sets for some basic functional equations ⋮ Semigroups of operators, cosine operator functions, and linear differential equations

Cites Work

• Unnamed Item
• On extending functions to solutions of some functional equations
• The Functional Equation f(xy) + f(xy -1 ) = 2f(x)f(y) for Groups
• On some properties of polynomial functions

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