Functions of limited accumulation
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Journal of Logic and Analysis
Abstract
Measures on the real line may be decomposed into a regular, singular and atomic part. The objective of the present article is to provide analogous decompositions for a class of nonstandard, discrete functions defined on an infinitesimal discretization of the real line.
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Imme van den Berg, Functions of limited accumulation, Journal of Logic and Analysis, Vol. 9 (2) 1-30, 2017,