A new generalization of Wilson’s functional equation
DOI:
https://doi.org/10.22199/issn.0717-6279-2019-05-0060Keywords:
Wilson’s equation, Group, Semigroup involutive automorphism, Multiplicative functionAbstract
Let G be a group, let σ : G → G be an involutive automorphism and let χ 1 , χ 2 : G → C ∗ be two characters of G such that χ 2 (xσ(x)) = 1 for all x ∈ G. The aim of this paper is to describe the solutions f, g : G → C of the functional equation χ 1 (y)f (xy) + χ 2 (y)f (σ(y)x) = 2f (x)g(y), x,y ∈ G, in terms of characters and additive functions.References
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