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Uniform distribution in locally compact groups

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Commentarii Mathematici Helvetici

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Bibliography

  1. van Dantzig D.,Zur topologischen Algebra, Math. Ann.107 (1933), 587–626.

    Article  MathSciNet  Google Scholar 

  2. Eckmann, B.,Über monothetische Gruppen, Comment. Math. Helv.,16 (1943-44), 249–263.

    MathSciNet  Google Scholar 

  3. Halmos P. andSamelson H.,On monothetic groups, Proc. Nat. Acad. Sci. U.S.A.,29 (1942), 254–258.

    Article  MathSciNet  Google Scholar 

  4. Helmberg G.,A theorem on equidistribution in compact groups. Pacific J. Math.,8 (1958), 227–241.

    MATH  MathSciNet  Google Scholar 

  5. Hlawka E.,Zur formalen Theorie der Gleichverteilung in kompakten Gruppen, Rend. Circ. Mat. Palermo, Ser. II,4 (1955), 33–47.

    MATH  MathSciNet  Google Scholar 

  6. Koksma J.,Diophantische Approximationen, Berlin 1936.

  7. Niven I.,Uniform distribution of sequences of integers, Trans. Amer. Math. Soc.,98 (1961), 52–62.

    Article  MATH  MathSciNet  Google Scholar 

  8. Pontryagin L.,Topological Groups, Princeton, 1946.

  9. Rudin W.,Fourier Analysis on Groups, New York-London, 1962.

  10. Uchiyama M. andUchiyama S.,A characterization of uniformly distributed sequences of integers, J. Faculty of Science, Hokkaido University, Series I,13 (1962), 238–248.

    MathSciNet  Google Scholar 

  11. Uchiyama S.,On the uniform distribution of sequences of integers. Proceedings of the Japan Academy,37 (1961), 605–609.

    Article  MATH  MathSciNet  Google Scholar 

  12. Weyl H.,Über die Gleichverteilung von Zahlen mod. Eins. Math. Ann.,77 (1916), 313–352 —Selecta H. Weyl (1956), 111.

    Article  MathSciNet  MATH  Google Scholar 

  13. Zane B.,Uniform distribution modulo m of monomials. Amer. Math. Monthly,71 (1964), 162–164.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. University of Illinois, Illinois, USA

    L. A. Rubel

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  1. L. A. Rubel
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This research was supported in part by an Air Force research grant.

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Rubel, L.A. Uniform distribution in locally compact groups. Commentarii Mathematici Helvetici 39, 253–258 (1964). https://doi.org/10.1007/BF02566952

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