Moment and BV-functions on commutative semigroups
Peter H. Maserick · Transactions of the American Mathematical Society · 1973
A general notion of variation of functions on an arbitrary commutative semigroup with identity is introduced. The concept includes Hausdorff’s for the additive semigroup of nonnegative integers as well as the more recent notions introduced for semilattices. An abstract moment problem is formulated and solved.