On the solution of functional equations of Wilson's type on monoids.

• Autores: Iz-iddine el Fassi, Abdellatif Chahbi, S. Kabbaj
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 36, Nº. 4, 2017, págs. 641-651
• Idioma: inglés
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• Resumen
  • español

    Let S be a monoid, C be the set of complex numbers, and let σ,τ ∈ Antihom(S,S) satisfy τ ○ τ =σ ○ σ= id. The aim of this paper is to describe the solution ⨍,g: S → C of the functional equation       in terms of multiplicative and additive functions.

  • English

    Let S be a monoid, C be the set of complex numbers, and let σ,τ ∈ Antihom(S,S) satisfy τ ○ τ =σ ○ σ= id. The aim of this paper is to describe the solution ⨍,g: S → C of the functional equation ⨍(xσ(y)) + ⨍(τ(y)x) = 2f(x)g(y), x, y ∈ S, in terms of multiplicative and additive functions.