Acta Mathematica Hungarica

, Volume 56, Issue 3–4, pp 361–367 | Cite as

On boundedly divergent Walsh-Fourier series

  • F. Schipp
Article

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References

  1. [1]
    G. Alexits,Convergence problems of orthogonal series, Pergamon (New York, 1961).Google Scholar
  2. [2]
    P. Billard, Sur la convergence presque partout des séries de Fourier-Walsh des functions de l'espece L2(0, 1),Studia Math.,28 (1967), 363–388.Google Scholar
  3. [3]
    J. D. Chen, On divergence of Vilenkin-Fourier series,Bull. Inst. Math. Acad. Sinica,7,2 (1979), 151–155.Google Scholar
  4. [4]
    N. J. Fine, On the Walsh functions,Trans. Amer. Math. Soc.,65 (1949), 372–414.Google Scholar
  5. [5]
    A. N. Kolmogoroff, Une series de Fourier-Lebesgue divergente presque partout,Fundamenta Math.,4 (1923), 324–329.Google Scholar
  6. [6]
    A. N. Kolmogorov, Une serie de Fourier-Lebesgue divergente partout,C. R. Acad. Sci. Paris,183 (1962), 1327–1329.Google Scholar
  7. [7]
    T. W. Körner, Sets of divergence for Fourier series,Bull. London Math. Soc.,3 (1971), 152–154.Google Scholar
  8. [8]
    N. R. Ladhawala, D. C. Pankratz, Almost everywhere convergence of Walsh-Fourier series of H-functions,Studia Math.,59 (1976), 85–92.Google Scholar
  9. [9]
    J. Marcinkiewicz, Sur les séries de Fourier,Fundamenta Math.,27 (1936), 38–69.Google Scholar
  10. [10]
    F. Schipp, Über die Größenordnung der Partialsummen der Entwicklung integrierbarer Funktionen nach W-Systemen,Acta Sci. Math. (Szeged),28 (1967), 123–134.Google Scholar
  11. [11]
    F. Schipp, Über die Divergenz der Walsh-Fourierreihen,Annales Univ. Sci. Budapest,12 (1969), 49–62.Google Scholar
  12. [12]
    F. Schipp, P. Simon, A remark to a theorem of A. N. Kolmogorov,Matematikai Lapok,31 (1978– 1983), 117–123 (in Hungarian).Google Scholar
  13. [13]
    E. M. Stein, On limits of sequence of operators,Annals of Math.,74 (1961), 140–170.Google Scholar
  14. [14]
    K. Tandori, Ein Divergenzsatz für Fourierreihen,Acta Sci. Math. (Szeged),30 (1969), 43–48.Google Scholar
  15. [15]
    P. L. Ul'janov, A. N. Kolmogorov and divergent Fourier series,Uspehi Mat. Nauk,38 (1983), 51–90 (in Russian).Google Scholar
  16. [16]
    D. Waterman, On systems of functions resembling the Walsh system,Michigan Math. J.,29 (1982), 83–87.CrossRefGoogle Scholar

Copyright information

© Akadémiai Kiadó 1990

Authors and Affiliations

  • F. Schipp
    • 1
  1. 1.Eötvös Loránd UniversityBudapestHungary

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