@article{Malyshev_2013, title={Approximation by Finite Potentials}, volume={65}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2513}, abstractNote={We consider an infinite system of point particles whose interaction is described by a stable two-body interaction potential <em class="a-plus-plus">ϕ</em> of infinite range. A sequence of finite interaction potentials <em class="a-plus-plus">ϕ</em> <sub class="a-plus-plus"> <em class="a-plus-plus">R</em> </sub> pointwise convergent to <em class="a-plus-plus">ϕ</em> as <em class="a-plus-plus">R</em> → ∞ is introduced. It is shown that the corresponding sequence of correlation functions <em class="a-plus-plus">ρ</em> <sub class="a-plus-plus"> <em class="a-plus-plus">R</em> </sub> converges to <em class="a-plus-plus">ρ</em> in the norm of the Ruelle space <em class="a-plus-plus">E</em> <sub class="a-plus-plus"> <em class="a-plus-plus">ξ</em></sub&gt;.}, number={10}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Malyshev, P. V.}, year={2013}, month={Oct.}, pages={1342–1349} }