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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

ZEGLAMI, D.; TIAL, M.  and  KABBAJ, S.. The integral sine addition law. Proyecciones (Antofagasta) [online]. 2019, vol.38, n.2, pp.203-219. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172019000200203.

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.

Keywords : Functional equation; Sine and cosine addition laws; Character; Borel measure..

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