Skip to main content
Log in

Completeness of systems of exponentials with weight

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

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.

Literature cited

  1. W. H. J. Fuchs, “On the closure of e−t t a v,” Proc. Cambridge. Phil. Soc.,18, No. 2, 91–105 (1946).

    Google Scholar 

  2. R. P. Boas, “Density theorems for power series and complete sets,” Trans. Am. Math. Soc.,61, No. 1, 54–68 (1947).

    Google Scholar 

  3. A. M. Sedletskii, “Approximation by shifts and completeness of weighted systems of exponentials in L2(R),” Mat. Sb.,123, No. 1, 92–107 (1984).

    Google Scholar 

  4. N. V. Govorov, The Riemann Boundary-Value Problem with Infinite Index [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  5. I. I. Privalov, Boundary Properties of Analytic Functions [in Russian], GITTL, Moscow (1950).

    Google Scholar 

  6. R. Paley and N. Wiener, Fourier Transforms in the Complex Domain [Russian translation], Nauka, Moscow (1964) (originally published by American Mathematical Society, Providence (1954)).

    Google Scholar 

  7. P. Malliavin, “Sur quelques procédés d'extrapolation,” Acta Math.,93, Nos. 3-4, 179–255 (1955).

    Google Scholar 

  8. B. V. Vinnitskii and V. M. Sorokivskii, “On the growth of entire functions represented by Dirichlet series,” VINITI Deposited Paper No. 176-82, Drogobych (1982).

  9. M. A. Evgrafov, Asymptotic Estimates and Entire Functions [in Russian], Nauka, Moscow (1979).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 12, pp.1695–1700, December, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vinnitskii, B.V., Shapovalovskii, A.V. Completeness of systems of exponentials with weight. Ukr Math J 41, 1464–1469 (1989). https://doi.org/10.1007/BF01056117

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01056117

Navigation