Real-analytic non-integrable functions on the plane with equal iterated integrals (Q2071830)
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scientific article; zbMATH DE number 7466705
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Real-analytic non-integrable functions on the plane with equal iterated integrals |
scientific article; zbMATH DE number 7466705 |
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Real-analytic non-integrable functions on the plane with equal iterated integrals (English)
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31 January 2022
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This note shows that there exists in $C(\mathbb{R}^2)$ a dense subspace of real-analytic functions in which each nonzero member is not integrable on $\mathbb{R}^2$ but yet has equal iterated integrals in the two orders.
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Fubini's theorem
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real analytic functions
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iterated integrals
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