Solutions and stability of a generalization of Wilson's equation

Bouikhalene Belaid, Elqorachi Elhoucien

In this paper we study the solutions and stability of the generalized Wilson's functional equation ${\int }_{G}f(xty)d\mu (t)+{\int }_{G}f(xt\sigma (y))d\mu (t)=2f(x)g(y),x,y\in G$, where $G$ is…