Finite Abelian semigroups represented into the power set of finite groups
August Lau (1979)
Czechoslovak Mathematical Journal
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August Lau (1979)
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We characterize finitely generated abelian semigroups such that every completely positive definite function (a function all of whose shifts are positive definite) is an integral of nonnegative miltiplicative real-valued functions (called nonnegative characters).