The space \(N(\sigma)\) and the F. and M. Riesz theorem (Q1355160)
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scientific article; zbMATH DE number 1011284
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The space \(N(\sigma)\) and the F. and M. Riesz theorem |
scientific article; zbMATH DE number 1011284 |
Statements
The space \(N(\sigma)\) and the F. and M. Riesz theorem (English)
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5 November 1997
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The author generalizes earlier results of \textit{H. Yamaguchi} [ibid. 19, 345-359 (1990; Zbl 0721.43001)] and \textit{C. Finet} and \textit{V. Tardivel-Nachef} [ibid. 23, 1-19 (1994; Zbl 0812.43003)] to certain transformation groups, in particular to certain \(\mathbb{R}\)-actions on locally compact Abelian groups admitting nontrivial continuous homomorphisms from the dual group of \(G\) to \(\mathbb{R}\).
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F. and M. Riesz theorem
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transformation groups
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locally compact Abelian groups
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0.9411783
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0.92433935
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0.8987448
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0.89494056
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