On generalized d'Alembert functional equation

• Autores: Mohamed Akkouchi, Allal Bakali, Belaid Bouikhalene, Elhoucien Elqorachi
• Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 21, Nº 1, 2006, págs. 67-82
• Idioma: inglés
• Títulos paralelos:
  • Sobre la ecuación funcional de d'Alembert generalizada
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• Resumen

  • Let G be a locally compact group. Let s be a continuous involution of G and let µ be a complex bounded measure. In this paper we study the generalized d'Alembert functional equation D(µ) ?G f(xty)dµ(t) + ?G f(xts(y))dµ(t) = 2f(x)f(y) x, y Î G;

    where f: G ? C to be determined is a measurable and essentially bounded function.