Resumen de The integral sine addition law.

D. Zeglami, M. Tial, S. Kabbaj

• In the present paper we determine, in terms of characters and additive functions, the solutions of the integral functional equation for the sine addition law  ∫ G f(xyt)dµ(t) = f(x)g(y) + g(x)f(y), x, y ∈ G, where G is a locally compact Hausdorff group and µ is a regular, compactly supported, complex-valued Borel measure on G. Some consequences of this result and an example are presented.