Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups

Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups

Using the non&#45;abelian Fourier transform, we find the central continuous solutions of the functional equation <img src="http:/fbpe/img/proy/v34n3/art07_for1.jpg" width="300" height="47"> where G is an arbitrary compact group, <img src="http:/fbpe/im...

Description complète

Enregistré dans:
Détails bibliographiques
Auteurs principaux: Chahbi,Abdellatif, Fadli,Brahim, Kabbaj,Samir
Langue:English
Publié: Universidad Católica del Norte, Departamento de Matemáticas 2015
Sujets:
Non-abelian Fourier transform
representation of a compact group.
Accès en ligne:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000300007
Tags: Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
Description
Résumé:Using the non&#45;abelian Fourier transform, we find the central continuous solutions of the functional equation <img src="http:/fbpe/img/proy/v34n3/art07_for1.jpg" width="300" height="47"> where G is an arbitrary compact group, <img src="http:/fbpe/img/proy/v34n3/art07_for2.jpg" width="200" height="43"> and &#963; is a continuous automorphism of G, such that &#963;n = I. We express the solutions in terms of the unitary (group) characters of G.

Documents similaires