On convolutions on configuration spaces. II. spaces of locally finite configurations
We consider the convolution of probability measures on spaces of locally finite configurations (subsets of a phase space) as well as their connection with the convolution of the corresponding correlation measures and functionals. In particular,the convolution of Gibbs measures is studied. We also describe a relationship between invariant measures with respect to some operator and properties of the corresponding image of this operator on correlation functions.
English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 12, pp 1919-1944.
Citation Example: Finkelshtein D. L. On convolutions on configuration spaces. II. spaces of locally finite configurations // Ukr. Mat. Zh. - 2012. - 64, № 12. - pp. 1699-1719.