Difference functions of periodic measurable functions (Q1382439)
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scientific article; zbMATH DE number 1134762
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Difference functions of periodic measurable functions |
scientific article; zbMATH DE number 1134762 |
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Difference functions of periodic measurable functions (English)
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29 March 1998
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The author investigates problems of the following type: Let \(f\) be a ``nice'' periodic function. For which sets \(H\) is it true that if the difference functions \(\Delta _h f(x) = f(x+h)-f(x)\) are ``even nicer'' for every \(h\in H\) then \(f\) itself must be ``even nicer''?
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difference
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periodic measurable function
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