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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).
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).
I. M. Glazman, Direct Methods of the Qualitative Spectral Analysis of Singular Differential Operators [in Russian], Fizmatgiz, Moscow (1963).
M. Sh. Birman, “On the spectrum of singular boundary-value problems,” Mat. Sb.,55, No. 2, 125–174 (1961).
M. Reed, “The damped self-interaction,” Commun. Math. Phys.,11, No. 4, 346–357 (1969).
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.
Yu. M. Berezanskii, Self-Adjoint Operators in Spaces of Functions of an Infinite Number of Variables [in Russian], Naukova Dumka, Kiev (1978).
M. Reed and B. Simon, Methods of Modern Mathematical Physics [Russian translation], Vol. 1, Mir Moscow (1977).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 32, No. 3, pp. 405–409, May–June, 1980.
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Samoilenko, V.G. Elliptic operators of second order with an infinite number of variables. Ukr Math J 32, 273–276 (1980). https://doi.org/10.1007/BF01089770
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DOI: https://doi.org/10.1007/BF01089770