Skip to main content
SpringerLink
Log in

Distribution of effective sets and interior-extendability of mittag-leffler representing systems

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

    Google Scholar 

  2. B. Ya. Levin, Distribution of Zeros of Entire Functions, Amer. Math. Soc. (1972).

  3. A. F. Leont'ev, Exponential Series [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  4. A. A. Kondratyuk, “Entire functions with finite maximal density of zeros. I,” in: Function Theory, Functional Analysis, and Their Applications [in Russian], Vol. 10, Kharkov State Univ. (1970), pp. 57–70.

  5. B. Ya. Levin, “Addenda and corrections to the book ‘Distribution and Roots of Entire Functions’,” Preprint FTINT Akad. Nauk UkrSSR, Kharkov (1978).

    Google Scholar 

  6. G. L. Lunts, “A theorem connected with the growth of entire functions of finite order,” Izv. Akad. Nauk Arm. SSR, No. 4, 357–370 (1970).

    Google Scholar 

  7. V. S. Azarin, “Rays of completely regular growth of an entire function,” Mat. Sb.,79, No. 4, 463–476 (1969).

    Google Scholar 

  8. O. V. Epifanov, “Is the convolution operator in convex domains an epimorphism?” Mat. Zametki,16, No. 3, 415–422 (1974).

    Google Scholar 

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

    Google Scholar 

  10. M. M. Dzhrbashyan, Integral Transformations and Representation of Functions in the Complex Domain [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  11. Yu. F. Korobeinik, “Representing systems,” in: Current Questions of Mathematical Analysis [in Russian], Rostov Univ., Rostov-on-the-Don (1978), pp. 100–111.

    Google Scholar 

  12. A. V. Abanin, “Some representing systems in ρ-convex domains,” Dep. VINITI,1979, No. 2571–79.

  13. G. M. Pasechnik, “Geometric characterization of sets of exponents of a representing system of exponentials for the space H(G),” Dokl. Akad. Nauk SSSR,252, No. 3, 553–555 (1980).

    Google Scholar 

  14. Yu. F. Korobeinik and A. F. Leont'ev, “Interior-extendability of representing systems of exponentials,” Mat. Zametki,28, No. 2, 243–254 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. 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. 33, No. 5, pp. 657–668, May, 1983.

In conclusion, the author expresses gratitude to Yu. F. Korobeinik for interest in the work and a series of helpful suggestions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abanin, A.V. Distribution of effective sets and interior-extendability of mittag-leffler representing systems. Mathematical Notes of the Academy of Sciences of the USSR 33, 339–344 (1983). https://doi.org/10.1007/BF01158279

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01158279

Search

Navigation