Mathematical Notes

, Volume 74, Issue 1–2, pp 299–301 | Cite as

Poincaré Rotation Numbers and the Riesz and Voronoi Means

  • V. V. Kozlov
  • T. Madsen
rotation number Poincaré theorem Cesaro convergence Riesz convergence Voronoi convergence 


  1. 1.
    H. Poincaré, “Sur les courbes définies par les équations différentielles,” in: Œuvres de H. Poincaré, vol. 1, Gauthier-Villars, Paris, 1953.Google Scholar
  2. 2.
    V. I. Arnol'd, Additional Chapters of the Theory of Ordinary Differential Equations [in Russian], Nauka, Moscow, 1978.Google Scholar
  3. 3.
    G. Hardy, Divergent Series, Oxford, 1949.Google Scholar

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • V. V. Kozlov
    • 1
  • T. Madsen
    • 2
  1. 1.M. V. Lomonosov Moscow State UniversityRussia
  2. 2.University of Aalborg(Denmark)

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