L\'evy group and density measures
Journal of Number Theory 128 (2008), 3005-3012 We will deal with finitely additive measures on integers extending the asymptotic density. We will study their relation to the L\'evy group $\mathcal{G}$ of permutations of $\mathbb N$. Using a new characterization of the L\'evy group $\mathca...
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| Format | Journal Article |
| Language | English |
| Published |
30.05.2013
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| Abstract | Journal of Number Theory 128 (2008), 3005-3012 We will deal with finitely additive measures on integers extending the
asymptotic density. We will study their relation to the L\'evy group
$\mathcal{G}$ of permutations of $\mathbb N$. Using a new characterization of
the L\'evy group $\mathcal G$ we will prove that a finitely additive measure
extends density if and only if it is $\mathcal{G}$-invariant. |
|---|---|
| AbstractList | Journal of Number Theory 128 (2008), 3005-3012 We will deal with finitely additive measures on integers extending the
asymptotic density. We will study their relation to the L\'evy group
$\mathcal{G}$ of permutations of $\mathbb N$. Using a new characterization of
the L\'evy group $\mathcal G$ we will prove that a finitely additive measure
extends density if and only if it is $\mathcal{G}$-invariant. |
| Author | Ziman, Miloš Sleziak, Martin |
| Author_xml | – sequence: 1 givenname: Martin surname: Sleziak fullname: Sleziak, Martin – sequence: 2 givenname: Miloš surname: Ziman fullname: Ziman, Miloš |
| BackLink | https://doi.org/10.1016/j.jnt.2008.05.004$$DView published paper (Access to full text may be restricted) https://doi.org/10.48550/arXiv.1305.7212$$DView paper in arXiv |
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| Snippet | Journal of Number Theory 128 (2008), 3005-3012 We will deal with finitely additive measures on integers extending the
asymptotic density. We will study their... |
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| SubjectTerms | Mathematics - Functional Analysis Mathematics - Number Theory |
| Title | L\'evy group and density measures |
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