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In the present paper we deal with the following generalization of thesine-cosine equation \begin{equation*} \int f_1(x+y-t)+f_2(x-y+t)d\mu(t)=g(x)h(y) \end{equation*} for complex valued functions $f_1$, $f_2$, $g$and $h$ defined on a commutative topological group $G$, where $\mu$ is acomplex measure defined on $G$.

A Generalization of Gajda's Equation on Commutative Topological Groups