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On the Stieltjes moment problem on semigroups
Authors:Torben Maack Bisgaard
Institution:(1) Nandrupsvej, 7 st. th., DK-2000 Frederiksberg C, Denmark
Abstract: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).
Keywords:semigroup  abelian  commutative  finitely generated  positive definite  completely positive definite  character
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