Generalized integrals and related topics (Q1978823)

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scientific article; zbMATH DE number 1449381
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Generalized integrals and related topics
scientific article; zbMATH DE number 1449381

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    Generalized integrals and related topics (English)
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    21 May 2000
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    A conference survey of the following topics: 1. How complicated need the gauge be in the definition of the Kurzweil-Henstock integral? 2. Ergodic theorem with generalized (nonabsolutely convergent) integrals. 3. Special partitions in the case of \(m\)-dimensional intervals. 4. Application of special partitions to the wave equation. 5. \(BV\)- and \(F\)-integrals. 6. Variations of additive functions. 7. Lipschitz transformations. 8. Lebesgue integrability on a portion of the interval for functions integrable in a generalized sense.
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    nonabsolute integration
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    Kurzweil-Henstock integral
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    variation
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    gauge
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