On the distribution of a sequence in a compact group

J. H. B. Kemperman

Compositio Mathematica (1964)

  • Volume: 16, page 138-157
  • ISSN: 0010-437X

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Kemperman, J. H. B.. "On the distribution of a sequence in a compact group." Compositio Mathematica 16 (1964): 138-157. <http://eudml.org/doc/88885>.

@article{Kemperman1964,
author = {Kemperman, J. H. B.},
journal = {Compositio Mathematica},
keywords = {group theory},
language = {eng},
pages = {138-157},
publisher = {Kraus Reprint},
title = {On the distribution of a sequence in a compact group},
url = {http://eudml.org/doc/88885},
volume = {16},
year = {1964},
}

TY - JOUR
AU - Kemperman, J. H. B.
TI - On the distribution of a sequence in a compact group
JO - Compositio Mathematica
PY - 1964
PB - Kraus Reprint
VL - 16
SP - 138
EP - 157
LA - eng
KW - group theory
UR - http://eudml.org/doc/88885
ER -

References

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  1. Bourbaki, N. [1] Éléments de Mathématique, Livre VI, Intégration, Hermann et Cie, Act. Sc. et Ind. no. 1175, Paris, 1952. Zbl0049.31703
  2. Cassels, J.W.S. [2] An Introduction to Diophantine Approximation, Cambridge University Press, Cambridge Tracts no. 345, Cambridge, 1957. Zbl0077.04801MR87708
  3. Cigler, J. [8] Folgen normierter Maße auf kompakten Gruppen, Z. Wahrscheinlichkeitstheorie vol. 1 (1962) pp. 3-13. Zbl0109.10702MR149526
  4. Cigler, J. [4] Über eine Verallgemeinerung des Hauptsatzes der Theorie der Gleichverteilung, J. für d. reine angew. Math. vol. 210 (1962) pp. 141-147. Zbl0117.28402MR140859
  5. Cigler J. und Helmberg, G. [5] Neuere Entwicklungen der Theorie der Gleichverteilung, Jahresber. Deutsch. Math. Ver. vol. 64 (1961) pp. 1-50. Zbl0109.03404MR125102
  6. Corput, J. G. Van Der [6] Diophantische Ungleichungen I, Zur Gleichverteilung Modulo Eins, Acta Math. vol. 56 (1931) pp. 373-456. Zbl0001.20102JFM57.0230.05
  7. Hlawka, E. [7] Zur formalen Theorie der Gleichverteilung in kompakten Gruppen, Rend. Circ. Mat. Palermo Ser. II vol. 4 (1955) pp. 1-15. Zbl0065.26402MR74489
  8. Hlawka, E. [8] Folgen auf kompakten Räumen, Abh. math. Sem. Univ. Hamburg vol. 20 (1956) pp. 223-241. Zbl0072.05701MR81368
  9. Hlawka, E. [9] Über C-Gleichverteilung, Ann. Mat. pura appl. Ser. IV vol. 49 (1960) pp. 311-326. Zbl0091.04703MR117214
  10. Kemperman, J.H.B. [10] Generalized distributions modulo 1, Int. Congress of Math., Abstracts p. 36, Stockholm, 1962. 
  11. Kemperman, J.H.B. [11] Probability methods in the theory of distributions modulo 1, this Vol., p. 106. Zbl0201.37701
  12. Korobov, N.M. and Postnikov, A.G. [12] Some general theorems on the uniform distribution of fractional parts, Dokl. Akad. Nauk SSSR vol. 84 (1952) pp. 217 - 220. Zbl0046.27802MR49246
  13. Kuipers, L. [13] De asymptotische verdeling modulo 1 van de waarden van meetbare functies, Thesis, Amsterdam, 1947. MR27013
  14. Tsuji, M. [14] On the uniform distribution of numbers mod. 1, J. Math. Soc. Japan vol. 4 (1952) pp. 313-322. Zbl0048.03302MR59322

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