ArticleOriginal scientific text

Title

Uniform distribution preserving mappings

Authors 1, 2

Affiliations

  1. Institut für Mathematik, TU Graz, Steyrergasse 30, A-8010 Graz, Austria
  2. Institut für Algebra und Diskrete Mathematik, TU Wien, Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria

Bibliography

  1. [BH] P. C. Baayen and Z. Hedrlin, The existence of well distributed sequences in compact spaces, Indag. Math. 27 (1965), 221-228.
  2. [Bi] C. Binder, Über einen Satz von de Bruijn und Post, Österr. Akad. Wiss. Math.-Naturw. Kl. S.B. II 179 (1971), 233-251.
  3. [Bo] W. Bosch, Functions that preserve the uniform distribution of sequences, Trans. Amer. Math. Soc. 307 (1988), 143-152.
  4. [BP] N. G. de Bruijn and K. A. Post, A remark on uniformly distributed sequences and Riemann integrability, Indag. Math. 30 (1968), 149-150.
  5. [De] J. Descovich, Zur Theorie der Gleichverteilung auf kompakten Räumen, Österr. Akad. Wiss. Math.-Naturw. Kl. S.B. II 178 (1969), 263-283.
  6. [Hl] E. Hlawka, Theorie der Gleichverteilung, Bibl. Inst., Mannheim-Wien-Zürich 1979.
  7. [Ko] C. Kopf, Invariant measures for piecewise linear transformations of the interval, Appl. Math. Comput. 39 (1990), 123-144.
  8. [KN] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, John Wiley and Sons, New York 1974.
  9. [Lo] G. G. Lorentz, A contribution to the theory of divergent series, Acta Math. 80 (1948), 167-190.
  10. [Ma] S. Marcus, La superposition des fonctions et l'isométrie des certaines classes des fonctions, Bull. Math. Soc. Sci. Math. Phys. Roumanie 1 (1957), 69-76.
  11. [PSS] S. Porubský, T. Šalát and O. Strauch, Transformations that preserve uniform distribution, Acta Arith. 49 (1988), 459-479.
Pages:
177-189
Main language of publication
English
Received
1991-01-28
Published
1991
Exact and natural sciences