Skip to main content
Log in

The behavior of a Dirichlet series on the boundary of a region of convergence

  • 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. A. F. Leont'ev, “Conditions under which analytic functions are decomposable into Dirichlet series,” Izv. Akad. Nauk SSSR, Ser. Matem.,36, No. 6 (1972).

  2. A. F. Leont'ev, “Representation of analytic functions in a closed, convex region by Dirichlet series,” Izv. Akad. Nauk SSSR, Ser. Matem.,37, No. 3 (1973).

  3. V. K. Dzyadyk, “Conditions for the convergence of Dirichlet series on closed polygons,” Matem. Sb.,95(137), No. 4 (1974).

  4. V. K. Dzyadyk and E. K. Krutigolova, “Representation of analytic functions by Dirichlet series on the boundary of the region of convergence,” Matem. Zametki,14, No. 6 (1973).

  5. A. Zigmund, Trigonometric Series, Vol. 1 [Russian translation], Mir, Moscow (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 27, No. 2, pp. 234–240, March–April, 1975.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Krutigolova, E.K. The behavior of a Dirichlet series on the boundary of a region of convergence. Ukr Math J 27, 187–191 (1975). https://doi.org/10.1007/BF01090003

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01090003

Keywords

Navigation