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Teoreticheskaya i Matematicheskaya Fizika, 1980, Volume 42, Number 2, Pages 243–252 (Mi tmf2366)  

This article is cited in 5 scientific papers (total in 5 papers)

Topological structure of the family of solutions of the Bogolyubov equation

G. I. Nazin
References:
Abstract: The Bogoliubov equation for generating functionals of classical statistical physics is studied in a specially constructed Banach space $H_\alpha$ of analytic functionals. Properties of closedness, compactness and convexity of the family of solutions of this equation in various topologies of the space $H_\alpha$ are considered. On the basis of the results obtained, the problem of the transition to the thermodynamic limit in the generating functional method is solved.
Received: 05.07.1978
English version:
Theoretical and Mathematical Physics, 1980, Volume 42, Issue 2, Pages 159–166
DOI: https://doi.org/10.1007/BF01032119
Bibliographic databases:
Language: Russian
Citation: G. I. Nazin, “Topological structure of the family of solutions of the Bogolyubov equation”, TMF, 42:2 (1980), 243–252; Theoret. and Math. Phys., 42:2 (1980), 159–166
Citation in format AMSBIB
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\by G.~I.~Nazin
\paper Topological structure of~the family of~solutions of~the Bogolyubov equation
\jour TMF
\yr 1980
\vol 42
\issue 2
\pages 243--252
\mathnet{http://mi.mathnet.ru/tmf2366}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=563855}
\transl
\jour Theoret. and Math. Phys.
\yr 1980
\vol 42
\issue 2
\pages 159--166
\crossref{https://doi.org/10.1007/BF01032119}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KH91900009}
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  • https://www.mathnet.ru/eng/tmf/v42/i2/p243
  • 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
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:323
    Full-text PDF :97
    References:76
    First page:1
     
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