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Periodica Mathematica Hungarica

, Volume 8, Issue 3–4, pp 229–242 | Cite as

On Salem's problem for Fourier and Dirichlet series

  • H. Fiedler
  • W. Jurkat
  • O. Körner
Article

AMS (MOS) subject classifications (1970)

Primary 42A32 Secondary 42A16 

Key words and phrases

Fourier coefficients of continuous functions estimates of finite trigonometric sums uniform convergence of Fourier series 

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References

  1. [1]
    K. Knopp,Theorie und Anwendung der unendlichen Reihen, Fünfte berichtigte Auflage, Die Grundlehren der mathematischen Wissenschaften, Band 2, Springer-Verlag, Berlin-New York, 1964, XII+582 pp.MR 32#1473Google Scholar
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    J. F. Koksma,Diophantische Approximationen, Springer-Verlag, Berlin-Heidelberg-New York, 1974, VI+157 pp. (reprint).Zbl 276. 10015 (seeZbl 12, 396–397).Google Scholar
  3. [3]
    L. J. Mordell, On the Kusmin-Landau inequality for exponential sums,Acta Arith. 4 (1958), 3–9.MR 20#2303Google Scholar
  4. [4]
    R. Salem,Essais sur les séries trigonométriques, Actualités sci. industr. no. 862, Hermann et Cie., Paris, 1940, 87 pp.MR 2-93, 419Google Scholar
  5. [5]
    A. Zygmund,Trigonometric series, Vols. I, II, Second edition, Cambridge University Press, London-New York, 1968, Vol. I: XIV+383 pp; Vol. II: VII+364 pp.MR 38#4882Google Scholar

Copyright information

© Akadémiai Kiadó 1977

Authors and Affiliations

  • H. Fiedler
    • 1
  • W. Jurkat
    • 2
  • O. Körner
    • 3
  1. 1.Abteilung für Mathematik IUniversität ULM (MNH)UlmWest Germany
  2. 2.Department of MathematicsSyracuse UniversitySyracuseUSA
  3. 3.Abteilung für Mathematik IVUniversität ULM (MNH)UlmWest Germany

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