The fundamental theorem of van der Corput on uniform distribution and its generalizations

Johann Cigler

Compositio Mathematica (1964)

  • Volume: 16, page 29-34
  • ISSN: 0010-437X

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Cigler, Johann. "The fundamental theorem of van der Corput on uniform distribution and its generalizations." Compositio Mathematica 16 (1964): 29-34. <http://eudml.org/doc/88898>.

@article{Cigler1964,
author = {Cigler, Johann},
journal = {Compositio Mathematica},
keywords = {probability theory},
language = {eng},
pages = {29-34},
publisher = {Kraus Reprint},
title = {The fundamental theorem of van der Corput on uniform distribution and its generalizations},
url = {http://eudml.org/doc/88898},
volume = {16},
year = {1964},
}

TY - JOUR
AU - Cigler, Johann
TI - The fundamental theorem of van der Corput on uniform distribution and its generalizations
JO - Compositio Mathematica
PY - 1964
PB - Kraus Reprint
VL - 16
SP - 29
EP - 34
LA - eng
KW - probability theory
UR - http://eudml.org/doc/88898
ER -

References

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  1. J. Bass [1] Suites uniformément denses, moyennes trigonométriques, fonctions pseudo-aléatoires, Bull. Soc. Math. France87, 1-64 (1959). Zbl0092.33404MR123147
  2. J. Cigler [2] Über eine Verallgemeinerung des Hauptsatzes der Theorie der Gleichverteilung, J. reine angew. Math.210, 141 - 147 (1962) Zbl0117.28402MR140859
  3. J. Cigler [3] Folgen normierter Maße auf kompakten Gruppen, Z. Wahrscheinlichkeitstheorie1, 3 —13 (1962). Zbl0109.10702
  4. J. Cigler und G. Helmberg [4] Neuere Entwicklungen der Theorie der Gleichverteilung, Jahresbericht DMV64, 1-50 (1961). Zbl0109.03404MR125102
  5. E. Hlawka [5] Zur formalen Theorie der Gleichverteilung in kompakten Gruppen, Rend. Circ. Mat. Palermo4, 33-47 (1955). Zbl0065.26402MR74489
  6. E. Hlawka [6] Zum Hauptsatz der Theorie der Gleichverteilung, Österr. Akad. Wiss., Anz. math.-nat. K1. 1957, 313-317. Zbl0083.04303
  7. E. Hlawka, [7] Erbliche Eigenschaften in der Theorie der Gleichverteilung, Publ. math.7, 181-186 (1960). Zbl0109.27501MR125103
  8. N.M. Korobov and A.G. Postnikov [8] Some general theorems on uniform distribution of fractional parts (russ.), Dokl. Acad. Nauk84, 217-220 (1952). Zbl0046.27802MR49246
  9. M. Tsuji [9] On the uniform distribution of numbers mod. 1, J. Math. Soc. Japan, 4, 313 - 322 (1952). Zbl0048.03302MR59322

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