Skip to main content
SpringerLink
Log in

Self-adjointness of a second-order elliptic operator with infinite number of variables

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

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. Yu. M. Berezanskii and V. G. Samoilenko, “The self-adjointness of differential operators with a finite or infinite number of variables,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 9, 691–695 (1979).

    Google Scholar 

  2. Yu. M. Berezanskii and V. G. Samoilenko, “The self-adjointness of differential operators with a finite or infinite number of variables, and evolutionary equations,” Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1979).

    Google Scholar 

  3. V. G. Samoilenko, “Second-order elliptic operators with an infinite number of variables,” Ukr. Mat. Zh.,32, No. 3, 405–409 (1980).

    Google Scholar 

  4. Yu. M. Berezanskii, Self-Adjoint Operators in Spaces of Functions of an Infinite Number of Variables [in Russian], Naukova Dumka, Kiev (1978).

    Google Scholar 

  5. G. E. Shilov and Fan Dyk Tin', The Integral, the Measure, and the Derivative on Linear Spaces [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  6. Yu. M. Berezanskii, “The self-adjointness of elliptic operators with an infinite number of variables,” Ukr. Mat. Zh.,28, No. 6, 729–742 (1975).

    Google Scholar 

  7. G. F. Us, “Functions of operators acting in different variables,” in: Operators in Mathematical Physics and Infinite-Dimensional Analysis [in Russian], Naukova Dumka, Kiev (1979), pp. 121–138.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Khersonskii Pedagogic Institute, USSR

    V. G. Samoilenko

Authors
  1. V. G. Samoilenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 34, No. 5, pp. 647–650, September–October, 1982.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Samoilenko, V.G. Self-adjointness of a second-order elliptic operator with infinite number of variables. Ukr Math J 34, 530–532 (1982). https://doi.org/10.1007/BF01093148

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01093148

Keywords

Search

Navigation