Henstock-Kurzweil integral transforms (Q715113)
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scientific article; zbMATH DE number 6093798
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Henstock-Kurzweil integral transforms |
scientific article; zbMATH DE number 6093798 |
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Henstock-Kurzweil integral transforms (English)
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16 October 2012
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Summary: We show conditions for the existence, continuity, and differentiability of functions defined by \(\Gamma(s) = \int^\infty_{-\infty} f(t)g(t, s)dt\), where \(f\) is a function of bounded variation on \(\mathbb R\) with \(\lim_{|t| \rightarrow \infty} f(t) = 0\).
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Henstock-Kurzweil integral transforms
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existence
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continuity
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differentiability
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function of bounded variation
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