Filtration and Finite-Dimensional Characterization of Logarithmically Convex Measures
We study the classes C(α, β) and C H(α, β) of logarithmically convex measures that are a natural generalization of the notion of Boltzmann measure to an infinite-dimensional case. We prove a theorem on the characterization of these classes in terms of finite-dimensional projections of measures and describe some applications to the theory of random series.
English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 3, pp 398-408.
Citation Example: Kulik A. M. Filtration and Finite-Dimensional Characterization of Logarithmically Convex Measures // Ukr. Mat. Zh. - 2002. - 54, № 3. - pp. 323-331.