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Functional equations and finite groups of substitutions. (English) Zbl 1208.39032

Author’s abstract: Motivated by a method of solving certain functional equations arising in competition problems, we investigate a class of functional equations, giving representations or existence theorems for the solutions. The main tools in the proofs are Cramer’s rule and the inverse function theorem.

MSC:

39B52 Functional equations for functions with more general domains and/or ranges
26B12 Calculus of vector functions
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