On the existence of uniformly distributed sequences in compact spaces

H. Niederreiter

Compositio Mathematica (1972)

  • Volume: 25, Issue: 1, page 93-99
  • ISSN: 0010-437X

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Niederreiter, H.. "On the existence of uniformly distributed sequences in compact spaces." Compositio Mathematica 25.1 (1972): 93-99. <http://eudml.org/doc/89133>.

@article{Niederreiter1972,
author = {Niederreiter, H.},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {93-99},
publisher = {Wolters-Noordhoff Publishing},
title = {On the existence of uniformly distributed sequences in compact spaces},
url = {http://eudml.org/doc/89133},
volume = {25},
year = {1972},
}

TY - JOUR
AU - Niederreiter, H.
TI - On the existence of uniformly distributed sequences in compact spaces
JO - Compositio Mathematica
PY - 1972
PB - Wolters-Noordhoff Publishing
VL - 25
IS - 1
SP - 93
EP - 99
LA - eng
UR - http://eudml.org/doc/89133
ER -

References

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  1. P.C. Baayen And Z. Hedrlín [1] The existence of well distributed sequences in compact spaces, Indag. Math.27 (1965), 221-228. Zbl0166.05601MR177976
  2. P.C. Baayen And G. Helmberg [2 ] On families of equi-uniformly distributed sequences in compact spaces, Math. Ann.161 (1965), 255-278. Zbl0139.27704MR188188
  3. N. Bourbaki [3] Intégration, 2ème éd., Act. Sci. Ind. 1175, Hermann, Paris, 1965. Zbl0049.31703MR219684
  4. Z. Hedrlín [4] On integration in compact metric spaces, Comm. Math. Univ. Carol.2 (1961), 4, 17-19. Zbl0101.04304MR146338
  5. G. Helmberg [5] Gleichverteilte Folgen in lokalkompakten Räumen, Math. Z.86 (1964), 157-189. Zbl0206.34202MR170879
  6. G. Helmberg And A. Paalman-de Miranda [6] Almost no sequence is well distributed, Indag. Math.26 (1964), 488-492. Zbl0125.02704MR170878
  7. E. Hewitt And L.J. Savage [7] Symmetric measures on Cartesian products, Trans. Amer. Math. Soc.80 (1955), 470-501. Zbl0066.29604MR76206
  8. E. Hlawka [8 ] Folgen auf kompakten Räumen, Abh. math. Sem. Hamburg20 (1956), 223-241. Zbl0072.05701MR81368
  9. [9] Folgen auf kompakten Räumen. II, Math. Nachr.18 (1958), 188-202. Zbl0082.04102MR99556
  10. [10] Zur formalen Theorie der Gleichverteilung in kompakten Gruppen, Rend. Circ. Mat. Palermo, ser. 2, 4 (1955), 33-47. Zbl0065.26402MR74489
  11. J.H.B. Kemperman [11] Probability methods in the theory of distributions modulo one, Compositio Math.16 (1964), 106-137. Zbl0201.37701MR173281
  12. H.G. Meijer [12] The discrepancy of a g-adic sequence, Indag. Math.30 (1968), 54-66. Zbl0155.37801MR228450
  13. F. Topsøe [13] Topology and Measure, Lecture Notes in Mathematics, vol. 133, Springer-Verlag, Berlin-Heidelberg- New York, 1970. Zbl0197.33301
  14. V.S. Varadarajan [14] Measures on topological spaces, Amer. Math. Soc. Translations, ser. 2, 48 (1965), 161-228. Zbl0152.04202
  15. C. Visser [15] The law of nought-or-one in the theory of probability, Studia Math.7 (1938), 143-149. Zbl0019.22501JFM64.0532.04

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