Skip to main content
SpringerLink
Log in

Generalization of the Balashov Theorem on Subseries of the Fourier--Haar Series

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

REFERENCES

  1. L.A. Balashov, “Generalized integration f series with respect to the Haar system,” in:All-Union School on the Theory of Functions [in Russian ], Erevan, 1987, p.3.

  2. G.G. Gevorkyan, “The majorant and the uniqueness of series with respect to the Franklin system,” Mat. Zametki [Math. Notes], 59 (1996), no. 4, 521–545.

    Google Scholar 

  3. B.I. Golubov, “On a class f complete orthogonal systems,” Sibirsk. Mat. Zh. [Siberian Math. J.], 9 (1968), no. 2, 297–314.

    Google Scholar 

  4. E.A. Vlasova, Generalized Haar Systems [in Russian ], Cand.Sci./Doctoral (Phys.–Math.)Dissertation, Moscow, 1988.

    Google Scholar 

  5. G.G. Gevorkyan, “On Uniqueness of Additive Functions of Dyadic Cubes and Series by Haar Systems,” Izv. Akad. Armyan. SSR Ser. Mat., 30 (1995), no.5.

  6. V.V. Kostin, “On a reconstruction problem f the series coefficients with respect t certain orthogonal system of functions,” Mat. Zametki [Math. Notes], 73 (2003), no. 5, 704–723.

    Google Scholar 

  7. B.S. Kashin and A.A. Saakyan, Orthogonal Series [in Russian ], AFC Publishers, Moscow, 1999.

    Google Scholar 

  8. E.A. Vlasova, “Convergence f series with respect to generalized Haar systems,” Anal. Math., 13 (1987), 339–360.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Control Sciences, Russian Academy of Sciences, Moscow

    V. V. Kostin

Authors
  1. V. V. Kostin
    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

Kostin, V.V. Generalization of the Balashov Theorem on Subseries of the Fourier--Haar Series. Mathematical Notes 76, 689–696 (2004). https://doi.org/10.1023/B:MATN.0000049668.75165.62

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:MATN.0000049668.75165.62

Search

Navigation