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Ukrainian Mathematical Journal

, Volume 34, Issue 5, pp 530–532 | Cite as

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

  • V. G. Samoilenko
Brief Communications

Keywords

Infinite Number Elliptic Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 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. 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. 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. 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. 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. 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. 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

Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • V. G. Samoilenko
    • 1
  1. 1.Khersonskii Pedagogic InstituteUSSR

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