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ON BUCK’S UNIFORM DISTRIBUTION IN COMPACT METRIC SPACES Cover

ON BUCK’S UNIFORM DISTRIBUTION IN COMPACT METRIC SPACES

By: Milan Paštéka  
Open Access
|Feb 2014

References

  1. [BUC] BUCK, R. C.: The measure theoretic approach to density, Amer. J. Math. 68 (1946), 560-580.10.2307/2371785
  2. [D-T] DRMOTA, M.-TICHY, R. F.: Sequences, Discrepancies and Applications. Springer, Berlin, 1997. [10.1007/BFb0093404
  3. [H] HEDRLIN, Z.: On integration in compact metric spaces, Comment. Math. Univ. Carolin. 2 (1961), 17-19.
  4. [K-N] KUIPERS, L.-NIEDERREITER, H.: Uniform Distribution of Sequences, in: Pure Appl. Math. (N. Y.), John Wiley and Sons, New York, 1974.
  5. [N] NIEDERREITER, H.: On the existence of uniformly distributed sequences in compact spaces, Compos. Math. 25 (1972), 93-99.
  6. [NAR] NARKIEWICZ, W.: Teoria Liczb (Number Theory), in: Bibl. Mat., Vol. 50, PWN, Warszawa, 1977.
  7. [P] POSTNIKOV, R. G.: Introduction to Analytic Number Theory, in: Transl. Math.Monogr., Vol. 68, Nauka, Moscov, 1971 (In Russian). English translation: Amer. Math.Soc., Providence, RI, 1981.
  8. [PAS1] PAˇST´EKA, M.: Remarks on one type of uniform distribution, Unif. Distrib. Theory 2 (2007), 79-92.
  9. [PAS2] PAˇST´EKA, M.: Remarks on Buck’s measure density, Tatra Mt. Math. Publ. 3 (1993), 191-200.
  10. [PAS3] PAˇST´EKA, M.: On four approaches to density. to appear, 95 pages.
  11. [WEY] WEYL, H.: ¨Uber die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), 313-352. 10.1007/BF01475864
DOI: https://doi.org/10.2478/tmmp-2013-0027 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 61 - 66
Published on: Feb 18, 2014
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2014 Milan Paštéka, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.