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

Abstract: 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 e...

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Autores principales: El-Fassi,Iz-iddine, Chahbi,Abdellatif, Kabbaj,Samir
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2017
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400641
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spelling oai:scielo:S0716-091720170004006412018-01-08On the solution of functional equations of Wilson's type on monoidsEl-Fassi,Iz-iddineChahbi,AbdellatifKabbaj,Samir Wilson's functional equation monoids multiplicative function. Abstract: 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.36 n.4 20172017-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400641en10.4067/S0716-09172017000400641
institution Scielo Chile
collection Scielo Chile
language English
topic Wilson's functional equation
monoids
multiplicative function.
spellingShingle Wilson's functional equation
monoids
multiplicative function.
El-Fassi,Iz-iddine
Chahbi,Abdellatif
Kabbaj,Samir
On the solution of functional equations of Wilson's type on monoids
description Abstract: 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.
author El-Fassi,Iz-iddine
Chahbi,Abdellatif
Kabbaj,Samir
author_facet El-Fassi,Iz-iddine
Chahbi,Abdellatif
Kabbaj,Samir
author_sort El-Fassi,Iz-iddine
title On the solution of functional equations of Wilson's type on monoids
title_short On the solution of functional equations of Wilson's type on monoids
title_full On the solution of functional equations of Wilson's type on monoids
title_fullStr On the solution of functional equations of Wilson's type on monoids
title_full_unstemmed On the solution of functional equations of Wilson's type on monoids
title_sort on the solution of functional equations of wilson's type on monoids
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2017
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172017000400641
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AT chahbiabdellatif onthesolutionoffunctionalequationsofwilsonstypeonmonoids
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