Skip to main content
SpringerLink
Log in

Certain criteria for weak sufficiency

  • Published:
Mathematical notes of the Academy of Sciences of the USSR 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

Literature cited

  1. A. F. Leont'ev, “Representation of functions by generalized Dirichlet series,” Usp. Mat. Nauk,24, No. 2, 97–164 (1969).

    Google Scholar 

  2. A. F. Leont'ev, Series of Exponents [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  3. A. F. Leont'ev, Generalized Series of Exponents [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  4. V. V. Napalkov, “On discrete sufficient sets in certain spaces of entire functions,” Dokl. Akad. Nauk SSSR,250, No. 4, 809–812 (1980).

    Google Scholar 

  5. V. V. Napalkov, “On the comparison of topologies in certain spaces of entire functions,” Dokl. Akad. Nauk SSSR,264, No. 4, 827–830 (1982).

    Google Scholar 

  6. Yu. F. Korobeinik, “Representing systems,” Usp. Mat. Nauk,36, No. 1, 73–126 (1981).

    Google Scholar 

  7. R. E. Edwards, Functional Analysis, Holt, Rinehart, and Winston, New York (1965).

    Google Scholar 

  8. D. M. Schneider, “Sufficient sets for some spaces of entire functions,” Trans. Am. Math. Soc.,197, 161–180 (1974).

    Google Scholar 

  9. B. M. Makarov, “Inductive limits of normed linear spaces,” Vestn. Leningr. Gos. Univ.,20, No. 13, 50–58 (1965).

    Google Scholar 

  10. O. V. Epifanov, Discretization of Sets, Weakly Sufficient for Spaces of Analytic Functions [in Russian], Deposited in the All-Union Institute of Scientific and Technical Information at No. 39P4-84.

  11. J. Sebastião e Silva, “Su certe classi di spazi localmente convessi importanti per le applicazioni,” Rend. Math. Appl. (5),14, 388–410 (1955).

    Google Scholar 

  12. A. I. Markushevich, Theory of Analytic Functions [in Russian], Vol. 1, Nauka, Moscow (1967).

    Google Scholar 

  13. V. G. Iyer, “On effective sets of points in relation to integral functions,” Trans. Am. Math. Soc.,42., 358–365 (1937).

    Google Scholar 

  14. L. I. Ronkin, Introduction to the Theory of Entire Functions of Several Variables [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  15. A. V. Abanin, Properties of Weakly Sufficient Sets. Applications to Absolutely Representing Systems of Exponents in Multidimensional Domains [in Russian], Deposited in the All-Union Institute of Scientific and Technical Information at No. 5283-84.

  16. V. V. Morzhakov, Absolutely Representing Systems of Exponents in Spaces of Analytic Functions of Several Complex Variables [in Russian], Deposited in the All-Union Institute of Scientific and Technical Information at No. 245-81.

Download references

Author information

Authors and Affiliations

  1. M. A. Suslov Rostov State University, USSR

    A. V. Abanin

Authors
  1. A. V. Abanin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 40, pp. 442–454, October, 1986.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abanin, A.V. Certain criteria for weak sufficiency. Mathematical Notes of the Academy of Sciences of the USSR 40, 757–764 (1986). https://doi.org/10.1007/BF01159666

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01159666

Search

Navigation