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On generalized d'Alembert functional equation.

Mohamed AkkouchiAllal BakaliBelaid BouikhaleneEl Houcien El Qorachi — 2006

Extracta Mathematicae

Let G be a locally compact group. Let σ 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(xtσ(y))dμ(t) = 2f(x)f(y) x, y ∈ G; where f: G → C to be determined is a measurable and essentially bounded function.

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