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Let G be a Hausdorff topological locally compact group. Let M(G) denote the Banach algebra of all complex and bounded measures on G. For all integers n ≥ 1 and all µ ∈ M(G), we consider the functional equations G f (xty)dµ(t) = n i=1 g i (x)h i (y), x, y ∈ G, where the functions f , {g i }, {h i }: G → C to be determined are bounded and continuous functions… (More)

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