Skip to main content
SpringerLink
Log in

On reducibility of zero sets of entire functions of several variables

  • Published:
Siberian Mathematical Journal 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

References

  1. W. Dahmen, Ch. Miechelli, “On a entire function of affine lineage,” Proc. Amer. Math. Soc.,84, No. 3, 344–346 (1982).

    Google Scholar 

  2. D. E. Papush, Entire Functions of Several Variables “with Plane Zeros,” Cand. Dissertation, Khar'kov (1986).

  3. S. Yu. Favorov, “On capacity characteristics of sets in ℂn,” submitted to VINITI on June 26, 1974, No. 1763.

  4. A. Sadullaev and P. V. Degtyar', “The divisors of an approximation to a holomorphic mapping and the defects of meromorphic functions of several variables,” Ukrain. Mat. Zh.,33, No. 5, 620–625 (1981).

    Google Scholar 

  5. B. Shiffman, R. E. Molson, and N. Sibony, “Average growth estimates for hyperplane sections of entire analytic sets,” Math. Ann.,57, No. 1, 43–59 (1981).

    Google Scholar 

  6. E. M. Chirka, Complex Analytic Sets [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  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 representation of plurisubharmonic functions,” in: Studies in the Theory of Function Approximations, Bashkirsk, Filial Akad. Nauk SSSR, Ufa, 1986, pp. 97–101.

    Google Scholar 

  9. A. B. Sekerin, “On representation of an infinitely differentiable function as the difference of plurisubharmonic functions,” Mat. Zametki,40, No. 5, 598–607 (1986).

    Google Scholar 

  10. E. N. But, “On entire functions of minimal type vanishing on algebraic sets,” in: Function Theory, Functional Analysis and Their Applications,20, Khar'kov, Khar'kov. Univ., 1974, pp. 6–14.

    Google Scholar 

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

    Google Scholar 

  12. E. C. Titchmarsh, The Theory of Functions [Russian translation], Mir, Moscow (1967).

    Google Scholar 

  13. L. Hörmander, Distribution Theory and Fourier Analysis [Russian translation], Mir, Moscow (1986).

    Google Scholar 

  14. K. Yosida, Functional Analysis [Russian translation], Mir, Moscow (1967).

    Google Scholar 

  15. H. Federer, Geometric Measure Theory [Russian translation], Nauka, Moscow (1987).

    Google Scholar 

  16. L. I. Ronkin, Introduction into the Theory of Entire Functions of Several Variables [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  17. A. I. Yanushauskas, Analytic and Harmonic Functions of Several Variables [in Russian], Nauka, Novosibirsk (1981).

    Google Scholar 

  18. W. Rudin, Function Theory in Polydiscs [Russian translation], Mir, Moscow (1974).

    Google Scholar 

  19. P. Lelong and L. Gruman, Entire Functions of Several Complex Variables [Russian translation], Mir, Moscow (1989).

    Google Scholar 

  20. W. Rudin, Function Theory in the Unit Ball of ℂn [Russian translation], Mir, Moscow (1984).

    Google Scholar 

Download references

Authors
  1. A. B. Sekerin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Ufa. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 34, No. 2, pp. 154–165, March–April, 1993.

Translated by V. N. Dyatlov

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sekerin, A.B. On reducibility of zero sets of entire functions of several variables. Sib Math J 34, 337–346 (1993). https://doi.org/10.1007/BF00970959

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00970959

Keywords

Search

Navigation