Skip to main content
Log in

On a Sidon-type inequality for discrete orthonormal systems

  • Published:
Mathematical Notes Aims and scope Submit manuscript

Abstract

A Sidon-type inequality is proved for discrete orthonormal systems of special formwhose particular case is theWalsh system.

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.

Similar content being viewed by others

References

  1. S. Sidon, “Verallgemeinerung eines Satzes über die absolute Konvergenz von Fourierreihen mit Lücken,” Math. Ann. 97 (1), 675–676 (1927).

    Article  MathSciNet  MATH  Google Scholar 

  2. B. S. Kashin and V. N. Temlyakov, “On a certain norm and related applications,” Mat. Zametki 64 (4), 637–640 (1998) [Math. Notes 64 (3–4), 551–554 (1998)].

    Article  MathSciNet  MATH  Google Scholar 

  3. B. S. Kashin and V. N. Temlyakov, “On a norm and approximation characteristics of classes of functions of several variables,” in Metric Theory of Functions and Related Problems in Analysis (AFTs, Moscow, 1999), pp. 69–99 [in Russian].

    Google Scholar 

  4. A. O. Radomskii, “On an inequality of Sidon type for trigonometric polynomials,” Mat. Zametki 89 (4), 589–595 (2011) [Math. Notes 89 (3–4), 555–561 (2011)].

    Article  MathSciNet  MATH  Google Scholar 

  5. A. O. Radomskii, Sidon-Type Inequalities and Properties of the Space of Quasicontinuous Functions, Cand. Sci. (Phys.–Math.) Dissertation (Izd.Moskov. Univ., Moscow, 2014) [in Russian].

    Google Scholar 

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

    MATH  Google Scholar 

  7. M. Hall, Combinatorial Theory (Blaisdell Publ. Co.–Ginn Publ. Co., Waltham, Mass.,–Toronto, Ont.,–London, 1967; Mir, Moscow, 1970).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. O. Radomskii.

Additional information

Original Russian Text © A. O. Radomskii, 2017, published in Matematicheskie Zametki, 2017, Vol. 101, No. 4, pp. 582–587.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Radomskii, A.O. On a Sidon-type inequality for discrete orthonormal systems. Math Notes 101, 693–698 (2017). https://doi.org/10.1134/S0001434617030270

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434617030270

Keywords

Navigation