A method for solving a conditional Cauchy equation on Abelian groups

DOI10.1007/BF01811720zbMath0494.39005OpenAlexW2005905434MaRDI QIDQ1169105

Luigi Paganoni, Gian Luigi Forti

Publication date: 1981

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01811720

zbMATH Keywords

abelian groupsconditional Cauchy equationexplicit forms of solution

Mathematics Subject Classification ID

Functional equations for functions with more general domains and/or ranges (39B52) Functional equations and inequalities (39B99)

Related Items (7)

The stability of homomorphisms and amenability, with applications to functional equations ⋮ Conditional functional equations and orthogonal additivity ⋮ Sulla stabilita' degli omomorfismi e sue applicazioni alle equazioni funzionali ⋮ An alternative Cauchy functional equation on a semigroup ⋮ On an alternative Cauchy equation in two unknown functions. Some classes of solutions ⋮ Abelian groups ⋮ On an alternative Cauchy equation

Cites Work

• Functional equations on restricted domains
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
• On an alternative functional equation related to the Cauchy equation
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