Skip to main content
Log in

Boundary-value uniqueness theorems for analytic functions

  • 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

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

Instant access to the full article PDF.

Literature cited

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

    Google Scholar 

  2. G. M. Goluzin, The Geometric Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  3. I. I. Privalov, The Cauchy Integral [in Russian], Saratov (1919).

  4. A. Beurling, “Ensembles exceptionnels,” Acta Math.,72, 1–13 (1940).

    Google Scholar 

  5. L. Carleson, “Sets of uniqueness of functions regular in the unit circle,” Acta Math.,87, Nos. 3–4, 325–345 (1952).

    Google Scholar 

  6. A. L. Shaginyan, “On a basic inequality in the theory of functions, and applications of it,” Izv. Akad. Nauk Arm. SSR, Fiz.-Mat.,12, No. 1, 3–25 (1959).

    Google Scholar 

  7. E. P. Dolzhenko, “On singular points of continuous harmonic functions,” Izv. Akad. Nauk SSSR, Ser. Mat.,28, 1251–1270 (1964).

    Google Scholar 

  8. A. V. Efimov, “Linear methods of approximation for certain classes of continuous periodic functions,” Mat. Sb.,54, No. 1, 30–59 (1961).

    Google Scholar 

  9. G. Valiron, Analytic Functions [Russian translation], Gostekhizdat, Moscow (1957).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskii Zametki, Vol. 25, No. 6, pp. 845–855, June, 1979.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dolzhenko, E.P. Boundary-value uniqueness theorems for analytic functions. Mathematical Notes of the Academy of Sciences of the USSR 25, 437–442 (1979). https://doi.org/10.1007/BF01230985

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01230985

Keywords

Navigation