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Filtration and Finite-Dimensional Characterization of Logarithmically Convex Measures

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. M. Kulik

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  1. A. M. Kulik
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Kulik, A.M. Filtration and Finite-Dimensional Characterization of Logarithmically Convex Measures. Ukrainian Mathematical Journal 54, 398–408 (2002). https://doi.org/10.1023/A:1020509332219

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  • DOI: https://doi.org/10.1023/A:1020509332219

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