A new generalization of Wilson’s functional equation
Abstract 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 solut...
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Universidad Católica del Norte, Departamento de Matemáticas
2019
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oai:scielo:S0716-091720190005009432020-01-07A new generalization of Wilson’s functional equationDimou,HajiraChahbi,AbdellatifKabbaj,Samir Wilson’s equation Group Semigroup involutive automorphism Multiplicative function Abstract 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.5 20192019-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000500943en10.22199/issn.0717-6279-2019-05-0060 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Wilson’s equation Group Semigroup involutive automorphism Multiplicative function |
| spellingShingle |
Wilson’s equation Group Semigroup involutive automorphism Multiplicative function Dimou,Hajira Chahbi,Abdellatif Kabbaj,Samir A new generalization of Wilson’s functional equation |
| description |
Abstract 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. |
| author |
Dimou,Hajira Chahbi,Abdellatif Kabbaj,Samir |
| author_facet |
Dimou,Hajira Chahbi,Abdellatif Kabbaj,Samir |
| author_sort |
Dimou,Hajira |
| title |
A new generalization of Wilson’s functional equation |
| title_short |
A new generalization of Wilson’s functional equation |
| title_full |
A new generalization of Wilson’s functional equation |
| title_fullStr |
A new generalization of Wilson’s functional equation |
| title_full_unstemmed |
A new generalization of Wilson’s functional equation |
| title_sort |
new generalization of wilson’s functional equation |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2019 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000500943 |
| work_keys_str_mv |
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