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Let S be an abelian *-semigroup. In this paper we prove some equivalent conditions for that every positive function is a moment function on S + S + S with a unique representation measure on the set of characters of S.
Sakakibara, Nobuhisa. "On equivalent conditions to quasi-perfectness of abelian *-semigroups.." Collectanea Mathematica 55.3 (2004): 261-268. <http://eudml.org/doc/44344>.
@article{Sakakibara2004, abstract = {Let S be an abelian *-semigroup. In this paper we prove some equivalent conditions for that every positive function is a moment function on S + S + S with a unique representation measure on the set of characters of S.}, author = {Sakakibara, Nobuhisa}, journal = {Collectanea Mathematica}, keywords = {Semigroups; Positive definite functions; Moment problems}, language = {eng}, number = {3}, pages = {261-268}, title = {On equivalent conditions to quasi-perfectness of abelian *-semigroups.}, url = {http://eudml.org/doc/44344}, volume = {55}, year = {2004}, }
TY - JOUR AU - Sakakibara, Nobuhisa TI - On equivalent conditions to quasi-perfectness of abelian *-semigroups. JO - Collectanea Mathematica PY - 2004 VL - 55 IS - 3 SP - 261 EP - 268 AB - Let S be an abelian *-semigroup. In this paper we prove some equivalent conditions for that every positive function is a moment function on S + S + S with a unique representation measure on the set of characters of S. LA - eng KW - Semigroups; Positive definite functions; Moment problems UR - http://eudml.org/doc/44344 ER -