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

Using the non-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...

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Autores principales:	Chahbi,Abdellatif, Fadli,Brahim, Kabbaj,Samir
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2015
Materias:	Non-abelian Fourier transform representation of a compact group.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000300007
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spelling	oai:scielo:S0716-091720150003000072015-09-23Functional equations of Cauchy’s and d’Alembert’s Type on Compact GroupsChahbi,AbdellatifFadli,BrahimKabbaj,Samir Non-abelian Fourier transform representation of a compact group. Using the non-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 σ is a continuous automorphism of G, such that σn = I. We express the solutions in terms of the unitary (group) characters of G.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.34 n.3 20152015-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000300007en10.4067/S0716-09172015000300007
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Non-abelian Fourier transform representation of a compact group.
spellingShingle	Non-abelian Fourier transform representation of a compact group. Chahbi,Abdellatif Fadli,Brahim Kabbaj,Samir Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups
description	Using the non-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 σ is a continuous automorphism of G, such that σn = I. We express the solutions in terms of the unitary (group) characters of G.
author	Chahbi,Abdellatif Fadli,Brahim Kabbaj,Samir
author_facet	Chahbi,Abdellatif Fadli,Brahim Kabbaj,Samir
author_sort	Chahbi,Abdellatif
title	Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups
title_short	Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups
title_full	Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups
title_fullStr	Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups
title_full_unstemmed	Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups
title_sort	functional equations of cauchy’s and d’alembert’s type on compact groups
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000300007
work_keys_str_mv	AT chahbiabdellatif functionalequationsofcauchy8217sandd8217alembert8217stypeoncompactgroups AT fadlibrahim functionalequationsofcauchy8217sandd8217alembert8217stypeoncompactgroups AT kabbajsamir functionalequationsofcauchy8217sandd8217alembert8217stypeoncompactgroups
_version_	1718439807471845376

Functional equations of Cauchy&#8217;s and d&#8217;Alembert&#8217;s Type on Compact Groups

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