Geodesic
Topological structure of the family of solutions of the Bogolyubov equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 2, pp. 243-252 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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G. I. Nazin. Topological structure of the family of solutions of the Bogolyubov equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 42 (1980) no. 2, pp. 243-252. http://geodesic.mathdoc.fr/item/TMF_1980_42_2_a8/

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