@article{Rebenko_2021, title={On the relations between some approaches to solving the Kirkwood – Salzburg equations}, volume={73}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/6337}, DOI={10.37863/umzh.v73i3.6337}, abstractNote={<p>UDC 517.9</p> <p>This work is almost a review describing the solutions of Kirkwood – Salsburg equations for correlation functions of a large canonical ensemble. We establish analytical relations between Ruelle’s operator approach described in detail in [<em>Статистическая механика. Строгие результаты</em>, Мир, Москва (1971)] and the approach by Minlos and Poghosyan presented in [<em>Оценки функций Урселла, групповых функций и их производных</em>, Теор. и мат. физика, <strong>31</strong>, № 2, 199 – 213 (1977)]. Using methods of infinite-dimensional analysis, we suggest a more transparent description of the main results.</p&gt;}, number={3}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Rebenko, A. L.}, year={2021}, month={Mar.}, pages={381 - 394} }