Abstract
We find the solutions \({f,g,h \colon S \to H}\) of each of the functional equations
where (S, +) is an abelian semigroup, Λ is a finite subgroup of the automorphism group of S, (H, +) is an abelian group.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Łukasik, R. Some generalization of Cauchy’s and the quadratic functional equations. Aequat. Math. 83, 75–86 (2012). https://doi.org/10.1007/s00010-011-0106-x
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DOI: https://doi.org/10.1007/s00010-011-0106-x