Ukrainian Mathematical Journal

, Volume 32, Issue 3, pp 273–276 | Cite as

Elliptic operators of second order with an infinite number of variables

  • V. G. Samoilenko
Brief Communications
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Keywords

Infinite Number Elliptic Operator 
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Literature cited

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    Yu. M. Berezanskii and V. G. Samoilenko, “Self-adjointness of differential operators with a finite and infinite number of variables,” Dokl. Akad. Nauk Ukr. SSR, Ser. A, No. 9, 962–965 (1979).Google Scholar
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    Yu. M. Berezanskii and V. G. Samoilenko, “Self-adjointness of differential operators with a finite and infinite number of variables and evolution equations,” Preprint 79.16, Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1979).Google Scholar
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    I. M. Glazman, Direct Methods of the Qualitative Spectral Analysis of Singular Differential Operators [in Russian], Fizmatgiz, Moscow (1963).Google Scholar
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    M. Sh. Birman, “On the spectrum of singular boundary-value problems,” Mat. Sb.,55, No. 2, 125–174 (1961).Google Scholar
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    M. Reed, “The damped self-interaction,” Commun. Math. Phys.,11, No. 4, 346–357 (1969).Google Scholar
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    V. I. Kolomytsev and Yu. S. Samoilenko, “On a countable collection of commuting self-adjoint operators and canonical commutation relations,” in: Methods of Functional Analysis in Problems of Mathematical Physics, Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1978), pp. 115–128.Google Scholar
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    Yu. M. Berezanskii, Self-Adjoint Operators in Spaces of Functions of an Infinite Number of Variables [in Russian], Naukova Dumka, Kiev (1978).Google Scholar
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    M. Reed and B. Simon, Methods of Modern Mathematical Physics [Russian translation], Vol. 1, Mir Moscow (1977).Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • V. G. Samoilenko
    • 1
  1. 1.Kiev Pedagogical InstituteUSSR

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