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Keywords:
semigroup; abelian; commutative; finitely generated; positive definite; completely positive definite; character
semigroup; abelian; commutative; finitely generated; positive definite; completely positive definite; character
Summary:
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).
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