Geodesic
Spectral theory of Kirkwood--Salzburg equations in a~finite volume
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 2, pp. 233-242

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The system of Kirkwood–Salzburg equations are studied for continuous and lattice systems in a finite volume. It is shown that the operator defined by this system of equations has a spectrum, when appropriately understood, that coincides with the set of numbers $\{z_i^{-1}\}$, $i=1,2,\dots$, where $z_i$ are the zeros of the partition function of the physical system under conside ration. 
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     author = {L. A. Pastur},
     title = {Spectral theory of {Kirkwood--Salzburg} equations in a~finite volume},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a8/}
}
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L. A. Pastur. Spectral theory of Kirkwood--Salzburg equations in a~finite volume. Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 2, pp. 233-242. http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a8/