Skip to main content
SpringerLink
Log in

Convex homogeneous functions as growth indicatrices of holomorphic 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

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. S. Vladimirov, Plurisubharmonic functions in tubular radial regions, II, Izv. AN SSSR Ser. Matem.,31, 103–122 (1967).

    Google Scholar 

  2. V. S. Vladimirov, Plurisubharmonic functions in tubular radial regions, Izv. AN SSSR Ser. Matem.,29, 1123–1146 (1965);30, 479 (1966).

    Google Scholar 

  3. V. S. Vladimirov, Methods of the Theory of Functions of Several Complex Variables, Moscow (1964).

  4. A. Plancherel and G. Polya, Fonctions entieres et integrales de Fourier multiples, Comment. Math. Helv.,9, 224–248 (1937);10, 110–163 (1938).

    Google Scholar 

  5. S. Bochner and W. T. Martin, Functions of Several Complex Variables [Russian translation], Moscow (1951).

  6. S. Bochner, Bounded analytic functions in several variables and multiple Laplace integrals, Am. J. Math.,59, 732–738 (1937).

    Google Scholar 

  7. W. T. Martin, Analytic functions and multiple Fourier integrals, Am. J. Math.,62, 673–679 (1940).

    Google Scholar 

  8. C. O. Kiselman, An existence theorem for entire functions of exponential type, Abstracts of Brief Scientific Reports, Section 4, pp. 14–15, ICM, Moscow (1966).

    Google Scholar 

  9. A. Martineau, Indicatrices de croissance des fonctions entieres de N-variables, Invent. Math.,2, 81–86 (1966);3, 16–19 (1967).

    Google Scholar 

  10. W. Fenchel, On conjugate convex functions, Canad. J. Math.,1, 73–77 (1949).

    Google Scholar 

  11. T. Bonnesen and W. Fenchel, Theorie der konvexen Körper, Ergebnisse der Mathematik (1934).

  12. F. A. Valentine, Convex Sets, New York (1964).

  13. V. S. Vladimirov, The Legendre transform of convex functions, Matem. Zametki,1, No. 6, 675–682 (1967).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Steklov Mathematical Institute of the Academy of Sciences of the USSR, USSR

    V. S. Vladimirov

Authors
  1. V. S. Vladimirov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 2, No. 2, pp. 167–174, August, 1967.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vladimirov, V.S. Convex homogeneous functions as growth indicatrices of holomorphic functions. Mathematical Notes of the Academy of Sciences of the USSR 2, 583–587 (1967). https://doi.org/10.1007/BF01094250

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01094250

Keywords

Search

Navigation