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Mathematics of the USSR-Sbornik, 1975, Volume 25, Issue 2, Pages 259–275
DOI: https://doi.org/10.1070/SM1975v025n02ABEH002208 (Mi sm3134) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Selfadjoint differential operators with an infinite number of independent variables

A. V. Marchenko
English version PDF (898 kB) Citations (5) Russian version article
References:
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DOI: https://doi.org/10.1070/SM1975v025n02ABEH002208
Abstract: In this paper a new method of definition of differential operators with an infinite number of independent variables is proposed, and an analysis of the selfadjointness in the corresponding Hilbert spaces is carried out. Certain spectral properties of such operators are also investigated. In contrast with previous analyses, the spaces of functions of an infinite number of variables in which the operators being studied act are, in general, not infinite tensor products of spaces of functions of a finite number of variables.
Bibliography: 5 titles.
Received: 19.09.1974
Bibliographic databases:
UDC: 517.43
MSC: Primary 47F05, 81A09; Secondary 46C10, 46M05, 46M10
Language: English
Original paper language: Russian
Citation: A. V. Marchenko, “Selfadjoint differential operators with an infinite number of independent variables”, Math. USSR-Sb., 25:2 (1975), 259–275
Citation in format AMSBIB
\Bibitem{Mar75}
\by A.~V.~Marchenko
\paper Selfadjoint differential operators with an~infinite number of independent variables
\jour Math. USSR-Sb.
\yr 1975
\vol 25
\issue 2
\pages 259--275
\mathnet{http://mi.mathnet.ru/eng/sm3134}
\crossref{https://doi.org/10.1070/SM1975v025n02ABEH002208}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=394263}
\zmath{https://zbmath.org/?q=an:0321.47034}
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  • https://www.mathnet.ru/eng/sm/v138/i2/p276
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:468
    Russian version PDF:252
    English version PDF:31
    References:65
     
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