The integral sine addition law.

• Zeglami, D. ^[2] ; Tial, M. ^[1] ; Kabbaj, S. ^[1]
  1. [1] Université Ibn-Tofail

     Université Ibn-Tofail

     Kenitra, Marruecos

     
  2. [2] Moulay Ismail University.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 2, 2019, págs. 203-219
• Idioma: inglés
• DOI: 10.4067/s0716-09172019000200203
• Enlaces
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• Resumen

  • 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.

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