Functions of limited accumulation

Imme van den Berg

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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DOI: https://doi.org/10.4115/jla.2017.9.2

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Journal of Logic and Analysis ISSN: 1759-9008