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On convolutions on configuration spaces. II. spaces of locally finite configurations

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Ukrainian Mathematical Journal Aims and scope

We consider the convolution of probability measures on spaces of locally finite configurations (subsets of a phase space) and 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.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine

    D. L. Finkel’shtein

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  1. D. L. Finkel’shtein
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 12, pp. 1699–1719, December, 2012.

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Finkel’shtein, D.L. On convolutions on configuration spaces. II. spaces of locally finite configurations. Ukr Math J 64, 1919–1944 (2013). https://doi.org/10.1007/s11253-013-0760-3

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  • DOI: https://doi.org/10.1007/s11253-013-0760-3

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