2017
Том 69
№ 9

All Issues

Filtration and Finite-Dimensional Characterization of Logarithmically Convex Measures

Kulik A. M.

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Abstract

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.

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