A generalization of Drygas functional equation

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...

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Autores principales:	Charifi,A., Almahalebi,M., Kabbaj,S.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2016
Materias:	Automorphism group difference opera-tor Drygas functional equation
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000200002
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spelling	oai:scielo:S0716-091720160002000022016-05-30A generalization of Drygas functional equationCharifi,A.Almahalebi,M.Kabbaj,S. Automorphism group difference opera-tor Drygas functional equation 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 ∈ G S, Φ is a finite automorphism group of S with order k, and aλ ∈ S, λ∈Φ.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.35 n.2 20162016-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000200002en10.4067/S0716-09172016000200002
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Automorphism group difference opera-tor Drygas functional equation
spellingShingle	Automorphism group difference opera-tor Drygas functional equation Charifi,A. Almahalebi,M. Kabbaj,S. A generalization of Drygas functional equation
description	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 ∈ G S, Φ is a finite automorphism group of S with order k, and aλ ∈ S, λ∈Φ.
author	Charifi,A. Almahalebi,M. Kabbaj,S.
author_facet	Charifi,A. Almahalebi,M. Kabbaj,S.
author_sort	Charifi,A.
title	A generalization of Drygas functional equation
title_short	A generalization of Drygas functional equation
title_full	A generalization of Drygas functional equation
title_fullStr	A generalization of Drygas functional equation
title_full_unstemmed	A generalization of Drygas functional equation
title_sort	generalization of drygas functional equation
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2016
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000200002
work_keys_str_mv	AT charifia ageneralizationofdrygasfunctionalequation AT almahalebim ageneralizationofdrygasfunctionalequation AT kabbajs ageneralizationofdrygasfunctionalequation AT charifia generalizationofdrygasfunctionalequation AT almahalebim generalizationofdrygasfunctionalequation AT kabbajs generalizationofdrygasfunctionalequation
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A generalization of Drygas functional equation

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