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

• Chahbi, Abdellatif ^[1] ; Fadli, Brahim ^[1] ; Kabbaj, Samir ^[1]
  1. [1] Université Ibn-Tofail

     Université Ibn-Tofail

     Kenitra, Marruecos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 34, Nº. 3, 2015, págs. 297-305
• Idioma: inglés
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• Resumen

  • Using the non-abelian Fourier transform, we find the central continuous solutions of the functional equation where G is an arbitrary compact group, 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.