
doi: 10.4115/jla.2017.9.2
handle: 10174/24505
Summary: 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.
atomic, decomposition, Nonstandard models in mathematics, atomic, singular and regular discrete functions, Singular functions, Cantor functions, functions with other special properties, singular and regular discrete functions, nonstandard analysis, limited accumulation
atomic, decomposition, Nonstandard models in mathematics, atomic, singular and regular discrete functions, Singular functions, Cantor functions, functions with other special properties, singular and regular discrete functions, nonstandard analysis, limited accumulation
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