Skip to main content
SpringerLink
Log in

Local theorems for the absolute convergence of multiple lacunary Fourier series

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Bary, N.K.:A treatise on trigonometric series Vol. II. New York: Pergamon 1964

    Google Scholar 

  2. Bochner, S.: Review of “On the absolute convergence of multiple Fourier series” by Minakshisundaram and Szàsz. Math. Rev.8, 376 (1947)

    Google Scholar 

  3. Minakshisundaram, S., Szàsz, O. On the absolute convergence of multiple Fourier series. Trans. Am. Math. Soc.61, 36–53 (1947)

    Google Scholar 

  4. Noble, M.E.: Coefficient properties of Fourier series with a gap condition. Math. Ann.128, 55–62 (1954)

    Google Scholar 

  5. Patadia, J.R.: On the absolute convergence of lacunary Fourier series. J. Math. Anal. Appl.65, 391–398 (1978)

    Google Scholar 

  6. Szàsz, O. Fourier series and mean modulus of continuity. Trans. Am. Math. Soc.42, 366–395 (1937)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Heriot-Watt University, Riccarton, EH144AS, Edinburgh, Scotland, UK

    J. R. Patadia

Authors
  1. J. R. Patadia
    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

Patadia, J.R. Local theorems for the absolute convergence of multiple lacunary Fourier series. Math. Ann. 271, 81–89 (1985). https://doi.org/10.1007/BF01455796

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01455796

Keywords

Search

Navigation