Skip to main content
SpringerLink
Log in

On a method for the Borel summation of n-fold power series

  • Notes
  • 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

Literature Cited

  1. G. H. Hardy, Divergent Series, The Claredon Press, Oxford (1949).

    Google Scholar 

  2. M. M. Dzhrbashyan, Integral Transforms and the Representation of Functions in a Complex Region [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  3. V. K. Ivanov, “Characteristics of the growth of an entire function of two variables and its application to the summation of double series,” Mat. Sb.,47, 131–140 (1959).

    Google Scholar 

  4. L. A. Aizenberg, “The partial-fraction expansion of holomorphic functions of many complex variables,” Sibirsk. Mat. Zh.,8, No. 5, 1224–1242 (1967).

    Google Scholar 

  5. N. Bourbaki, Topological Vector Spaces [Russian translation], IL, Moscow (1959).

    Google Scholar 

  6. L. A. Aizenberg, “Linear convexity in Cn and the separation of the singularities of holomorphic functions,” Bull. Acad. Pol. Sci.,15, 487–495 (1967).

    Google Scholar 

  7. A. Martineau, “Sur la topologie des espaces des fonctions holomorphes,” Math. Ann.,163, 62–88 (1966).

    Google Scholar 

  8. A. Martineau, “Sur la notion d'ensemble fortement lineairement convexe,” Preprint. Montpellier (1966), pp. 1–18.

  9. L. A. Aizenberg and V. M. Trutnev, “One method for the Borel summation of n-fold power series,” Reports Abstracts All-Union Sympos. Theory of Holomorphic Functions of Many Complex Variables [in Russian], Krasnoyarsk (1969), pp. 6–7.

  10. J. Leray, “Le calcul differéntiel et intégral sur une variété analytique complexe. (Problème de Cauchy. III), Bull. Soc. Math. France,87, 81–180 (1959).

    Google Scholar 

  11. L. A. Aizenberg, “The integral representation of functions holomorphic in convex regions of space Cn,” Dokl. Akad. Nauk SSSR,151, No. 6, 1247–1249 (1963).

    Google Scholar 

  12. S. Bochner and W. T. Martin, Several Complex Variables, Princeton Mathematical Series, Vol. 10, Princeton Univ. Press, Princeton, New Jersey (1948).

    Google Scholar 

Download references

Authors
  1. L. A. Aizenberg
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. M. Trutnev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 12, No. 6, pp. 1398–1404, Nobember–December, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aizenberg, L.A., Trutnev, V.M. On a method for the Borel summation of n-fold power series. Sib Math J 12, 1011–1015 (1971). https://doi.org/10.1007/BF00966546

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00966546

Keywords

Search

Navigation