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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| Auteurs principaux: | , , |
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| Langue: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2019
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| Accès en ligne: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000500943 |
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| Résumé: | 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. |
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