Algebra generated by non-degenerate derivatives (Q1308866)
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scientific article; zbMATH DE number 465125
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Algebra generated by non-degenerate derivatives |
scientific article; zbMATH DE number 465125 |
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Algebra generated by non-degenerate derivatives (English)
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7 March 1994
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It is proved that every Baire 1 function \(u: \mathbb{R}^ m\to\mathbb{R}\) is of the form \(fg+ h\), where \(f\), \(g\), \(h\) are \(o\)-non-degenerate \(o\)- derivatives. The notion of the \(o\)-convergence is defined.
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derivative of a set function
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algebra of functions
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Baire 1 function
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o- derivatives
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o-convergence
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