Skip to main content

TauberianL 1-Convergence classes of Fourier series. II

Mathematische Annalen volume 269, pages 469–486 (1984)Cite this article

This is a preview of subscription content, access via your institution.

Access options

Buy single article

Instant access to the full article PDF.

USD 39.95

Price includes VAT (Canada)

References

  1. Bray, W.O., Stanojević, Č.V.: TauberianL 1-convergence classes of Fourier series I. Trans. Am. Math. Soc.275, 59–69 (1983)

    Google Scholar 

  2. Stanojević, Ĉ.V.: Tauberian conditions for theL 1-convergence of Fourier series. Trans. Am. Math. Soc.271, 237–244 (1982)

    Google Scholar 

  3. Katznelson, Y.: An introduction to harmonic analysis. Dover Publications (1976)

  4. Edwards, R.E.: Fourier series, a modern introduction. 2nd edn. Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  5. Stanojević, Ĉ.V.: Classes ofL 1-convergence of Fourier and Fourier-Stieljes series. Proc. Am. Math. Soc.82, 209–215 (1981)

    Google Scholar 

  6. Helson, H.: Proof of a conjecture of Steinhaus. Proc. Natl. Acad. USA40, 205–206 (1954)

    Google Scholar 

  7. Garrett, J.W., Stanojević, Ĉ.V.: OnL 1-convergence of certain consine sums. Proc. Am. Math. Soc.54, 101–105 (1976)

    Google Scholar 

  8. Riesz, F.: Über eine Verallgemeinerung des Parsevalschen Formel. Math. Z.18, 117–124 (1923)

    Google Scholar 

  9. Zygmund, A.: Trigonometric series. Vol. I, 2nd edn. London: Cambridge University Press 1959

    Google Scholar 

  10. Butzer, P.L., Nesser, R.J.: Fourier analysis and approximation. Vol I. New York: Academic Press 1971

    Google Scholar 

  11. Bray, W.O.: On a Tauberian theorem for theL 1-convergence of Fourier sine series. Proc. Am. Math. Soc. (1984 to appear)

  12. Stanojević, V.B.:L 1-convergence of Fourier series with complex quasimonotone coefficients. Proc. Am. Math. Soc.86, No. 2 (1982)

    Google Scholar 

  13. Carleson, L.: On convergence and growth of partial sums of Fourier series. Acta Math.116, 135–157 (1966)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Maine at Orono, 04469, Orono, ME, USA

    William O. Bray

  2. Department of Mathematics and Statistics, University of Missouri, 65401, Rolla, MO, USA

    Ĉaslav V. Stanojević

Authors
  1. William O. Bray
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ĉaslav V. Stanojević
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Bray, W.O., Stanojević, Ĉ.V. TauberianL 1-Convergence classes of Fourier series. II. Math. Ann. 269, 469–486 (1984). https://doi.org/10.1007/BF01450761

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01450761

Keywords

  • Fourier
  • Fourier Series