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

Abdellatif Chahbi, Brahim Fadli, Samir Kabbaj

• 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.