Measurability of real functions having symmetric derivatives everywhere (Q1064424)
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scientific article; zbMATH DE number 3918734
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Measurability of real functions having symmetric derivatives everywhere |
scientific article; zbMATH DE number 3918734 |
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Measurability of real functions having symmetric derivatives everywhere (English)
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1985
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Let f be a real-valued function defined on the real line. The authors prove that if f has a symmetric derivative (finite or not) everywhere, then f is measurable. This result provides a negative answer to a question of Sierpinski's whether there is a measurable function whose symmetric derivative is zero everywhere.
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real-valued function
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symmetric derivative
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