Abstract
We find the solutions \({f,g,h \colon G \to X,\,\varphi \colon G \to \mathbb{K}}\) of each 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 the quadratic and Wilson’s functional equation. Aequat. Math. 87, 105–123 (2014). https://doi.org/10.1007/s00010-013-0185-y
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DOI: https://doi.org/10.1007/s00010-013-0185-y