Skip to main content
Log in

Convergence of Fourier series with respect to general orthonormal systems

  • Short Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. G. Aleksich, Problems of Convergence of Orthogonal Series (Inostr. Lit., Moscow, 1963) [in Russian].

    Google Scholar 

  2. S. Banach, Studia Math. 9, 139 (1940).

    MathSciNet  Google Scholar 

  3. B. C. Kashin and A. A. Saakyan, Orthogonal Series (Izd. AFTs, Moscow, 1999) [in Russian].

    MATH  Google Scholar 

  4. N. J. Fine, Trans. Amer. Math. Soc. 65, 372 (1949).

    Article  MathSciNet  Google Scholar 

  5. V. Sh. Tsagareishvili, Izv. Ross. Akad. Nauk Ser. Mat. 76 2, 215 (2012) [Izv. Math. 76 2, 419 (2012)].

    Article  MathSciNet  Google Scholar 

  6. L. D. Gogoladze and V. Sh. Tsagareishvili, in Trudy Mat. Inst. Steklov, Vol. 280: Orthogonal Series, Approximation Theory, and Related Questions, Collection of papers dedicated to the 60th anniversary of Academician B. S. Kashin (MAIK, Moscow, 2013), pp. 162–174 [Proc. Steklov Inst. Math. 280 1, 156–168 (2013)].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. D. Gogoladze.

Additional information

Original Russian Text © L. D. Gogoladze, V. Sh. Tsagareishvili, 2016, published in Matematicheskie Zametki, 2016, Vol. 99, No. 4, pp. 618–622.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Gogoladze, L.D., Tsagareishvili, V.S. Convergence of Fourier series with respect to general orthonormal systems. Math Notes 99, 603–607 (2016). https://doi.org/10.1134/S0001434616030342

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434616030342

Keywords

Navigation