An abstract Lusin integral (Q1803358)
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scientific article; zbMATH DE number 220705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An abstract Lusin integral |
scientific article; zbMATH DE number 220705 |
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An abstract Lusin integral (English)
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29 June 1993
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The author defines derivatives abstractly using its algebraic properties. By Romanovski's lemma, he can prove the uniqueness of an abstract integral. The usual properties of the integral follow. A typical example is the \(AD\) integral as defined by the author [Proc. Japan Acad. 40, 713- 717 (1964; Zbl 0141.246)].
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abstract Lusin integral
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abstract derivative
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abstract absolute continuity
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\(AD\) integral
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