Skip to main content
Log in

A local integral representation of strictly plurisubharmonic functions

  • Published:
Mathematical Notes 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.

References

  1. P. Lelong, “Sur quelques problemes de la theorie des fonctions de deux variables complexes,” Ann. Scient. Ecole Norm.,58, 83–176 (1941).

    Google Scholar 

  2. H. Bremerman, “On the conjecture of equivalence of the plurisubharmonic functions and the Hartogs functions,” Math. Ann.,131, 76–86 (1956).

    Google Scholar 

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

    Google Scholar 

  4. R. S. Yulmukhametov, “Approximation of subharmonic functions,” Analysis Mathematica,11, No. 3, 257–282 (1985).

    Google Scholar 

  5. R. Sigurdsson, “Growth properties of analytic and plurisubharmonic functions of finite order,” Math. Scand.,59, No. 2, 235–305 (1986).

    Google Scholar 

  6. R. S. Yulmukhametov, “Asymptotics of plurisubharmonic functions,” Preprint of the Bashkir Scientific Center of the Academy of Sciences of the USSR (1986).

  7. A. B. Sekerin, “On the integral representation of subharmonic functions,” Mat. Zametki,36, No. 6, 865–871 (1984).

    Google Scholar 

  8. A. B. Sekerin, “On the integral represetation of plurisubharmonic functions,” Studies in the Approximation Theory of Functions. Bashkir Branch of the Academy of Sciences of the USSR, Ufa, 97–106 (1986).

    Google Scholar 

  9. I. M. Gel'fand, M. I. Graev, and N. Ya. Vilenkin, Integral Geometry and Related Problems of the Representation Theory [in Russian], Nauka, Moscow (1962).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Matematicheskie Zametki, Vol. 53, No. 6, pp. 108–115, June, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sekerin, A.B. A local integral representation of strictly plurisubharmonic functions. Math Notes 53, 635–639 (1993). https://doi.org/10.1007/BF01212601

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01212601

Keywords

Navigation