On dyadic integrals and some other integrals associated with local systems (Q1849170)
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scientific article; zbMATH DE number 1836768
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On dyadic integrals and some other integrals associated with local systems |
scientific article; zbMATH DE number 1836768 |
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On dyadic integrals and some other integrals associated with local systems (English)
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28 November 2002
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A full descriptive characterization of the classical one-dimensional Henstock integral in terms of the absolute continuity of the variational measure was given by the same authors in 1995. A similar result is given in this paper for the dyadic path-integral which is a special case of \(S\)-integrals defined by local systems of sets. Some variational properties of \(S\)-integrals and the comparison between the dyadic path-integral and the dyadic Henstock integral are also discussed.
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Henstock integral
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absolute continuity
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variational measure
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dyadic path-integral
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local systems of sets
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