Abstract:The concept of functions of bounded variation on a linearly ordered set has been generalized to a distributive lattice [1] and more recently to a semilattice (cf. [3], [4] and [5]). Here, using different techniques, we further extend this notion to commutative semigroups with identity and show that the BK-functions characterize the "abstract moment sequences" or what we call moment functions.Let S be a commutative semigroup with identity 1. A nontrivial homomorphism, which maps S into the multiplicative semigr… Show more
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