On the generalized convergence theorems for Thomson's \({\mathcal B}\)-integral on \(\mathbb{R}^ m\) (Q1912747)
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scientific article; zbMATH DE number 878236
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the generalized convergence theorems for Thomson's \({\mathcal B}\)-integral on \(\mathbb{R}^ m\) |
scientific article; zbMATH DE number 878236 |
Statements
On the generalized convergence theorems for Thomson's \({\mathcal B}\)-integral on \(\mathbb{R}^ m\) (English)
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6 April 1997
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Thomson's derivation bases are defined mainly on the real line [see \textit{B. S. Thomson}, Real Anal. Exch. 8, 67-207 (1983; Zbl 0525.26002); ibid. 278-442 (1983; Zbl 0525.26003)]. The author extended it to the multidimensional Euclidean space, proved the equi-integrability theorem, and characterized the primitive functions in terms of various uniform ACG conditions. See also \textit{T.-S. Chew} and the reviewer [N. Z. J. Math. 23, No. 1, 25-36 (1994; Zbl 0832.26005)].
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Thomson's derivation bases
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multidimensional Euclidean space
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equi-integrability theorem
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