Density measures on a certain flow

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Kunisada, Ryoichi;
  • Subject: 11B05, 46E27 | Mathematics - Functional Analysis | Mathematics - Number Theory

We study finitely additive extensions of the asymptotic density to all the subsets of natural numbers. Such measures are called density measures. We consider a class of density measures constructed from free ultrafilters on $\mathbb{N}$ and investigate absolute continui... View more
  • References (8)

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    [8] A. H. Mekler, Finitely additive measures on N and the additive property, Porc. Amer. Math. Soc. 92 (1984), 439-444. Department of Mathematical Science, Graduate School of Science and Engineering, Waseda University, Shinjuku-ku, Tokyo 169-8555, Japan E-mail address:

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