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On the Stieltjes moment problem on semigroups
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 155-196 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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).
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).
Classification : 43A05, 43A35, 44A60
Keywords: semigroup; abelian; commutative; finitely generated; positive definite; completely positive definite; character 
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Bisgaard, Torben Maack. On the Stieltjes moment problem on semigroups. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 155-196. http://geodesic.mathdoc.fr/item/CMJ_2002_52_1_a13/

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