Abstract
We find the solutions \({f,g,h \colon G \to X, \alpha \colon G\to {\mathbb{K}}}\) of the functional equation
where (G, +) is an abelian group, K is a finite, abelian subgroup of the automorphism group of G, X is a linear space over the field \({{\mathbb{K}} \in\{{\mathbb{R}},{\mathbb{C}} \}}\).
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Łukasik, R. Some generalization of Cauchy’s and Wilson’s functional equations on abelian groups. Aequat. Math. 89, 591–603 (2015). https://doi.org/10.1007/s00010-013-0244-4
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DOI: https://doi.org/10.1007/s00010-013-0244-4