Note on a singular function of Minkowski
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- by J. R. Kinney
- Proc. Amer. Math. Soc. 11 (1960), 788-794
- DOI: https://doi.org/10.1090/S0002-9939-1960-0130330-7
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References
- Patrick Billingsley, Hausdorff dimension in probability theory, Illinois J. Math. 4 (1960), 187–209. MR 131903 A. Denjoy, Sur une fonction réelle de Minkowski, J. Math. Pures Appl. vol. 17 (1938) pp. 105-155.
- I. J. Good, The fractional dimensional theory of continued fractions, Proc. Cambridge Philos. Soc. 37 (1941), 199–228. MR 4878, DOI 10.1017/s030500410002171x
- R. Salem, On some singular monotonic functions which are strictly increasing, Trans. Amer. Math. Soc. 53 (1943), 427–439. MR 7929, DOI 10.1090/S0002-9947-1943-0007929-6
- C. E. Shannon, A mathematical theory of communication, Bell System Tech. J. 27 (1948), 379–423, 623–656. MR 26286, DOI 10.1002/j.1538-7305.1948.tb01338.x
Bibliographic Information
- © Copyright 1960 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 11 (1960), 788-794
- MSC: Primary 26.99
- DOI: https://doi.org/10.1090/S0002-9939-1960-0130330-7
- MathSciNet review: 0130330