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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

CHARIFI, A.; ALMAHALEBI, M.  and  KABBAJ, S.. A generalization of Drygas functional equation. Proyecciones (Antofagasta) [online]. 2016, vol.35, n.2, pp.159-176. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172016000200002.

We obtain the Solutions of the following Drygas functional equation ∑ λ Φ f (x + λy + aλ ) = κf(x)+ ∑ λ Φ f(λy), x, y ∈ S where S is an abelian semigroup, G is an abelian group, f ∈ GS, Φ is a finite automorphism group of S with order k, and aλ ∈ S, λ∈Φ.

Keywords : Automorphism group; difference opera-tor; Drygas functional equation.

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