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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Moment and BV-functions on commutative semigroups


Author: P. H. Maserick
Journal: Trans. Amer. Math. Soc. 181 (1973), 61-75
MSC: Primary 22A20; Secondary 44A50
DOI: https://doi.org/10.1090/S0002-9947-1973-0396835-2
MathSciNet review: 0396835
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Abstract: 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.


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DOI: https://doi.org/10.1090/S0002-9947-1973-0396835-2
Keywords: BV-functions, semigroup, moment problem, exponential, completely monotonic function, integral representation, finite difference, vector lattice, Banach algebra, convolution measures
Article copyright: © Copyright 1973 American Mathematical Society