Abstract

ZEGLAMI, D.; KABBAJ, S.  and  TIAL, M.. A sine type functional equation on a topological group. Proyecciones (Antofagasta) [online]. 2019, vol.38, n.2, pp.221-235. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172019000200221.

In [13] H. Stetkær obtained the complex valued solutions of the functional equation

f(xyz0)f(xy−1z0) = f(x)2 − f(y)2, x, y ∈ G,

where G is a topological group and z0 ∈ Z(G) (the center of G). Our main goal is first to remove this restriction and second, when G is 2-divisible and abelian, we will investigate the superstability of the above functional equation.

Keywords : Sine functional equation; Character; Additive map; Superstability.

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