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Stability in the I. V. Ostrovskii-R. Cuppens theorem on groups

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Abstract

Let X be a locally compact separable metric Abelian group. Unimprovable estimates are obtained for the stability of the decompositions of the generalized Poisson distribution e(F) on X, where F is a completely finite measure on X such that its powers fn* with respect to convolution are pairwise singular for distinct natural numbers n.

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Literature cited

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Authors
  1. G. P. Chistyakov
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Additional information

Translated from Teoriya Funktsii, Funktsional'nyi Analiz i Ikh Prilozheniya, No. 50, pp. 103–108, 1988.

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Chistyakov, G.P. Stability in the I. V. Ostrovskii-R. Cuppens theorem on groups. J Math Sci 49, 1310–1314 (1990). https://doi.org/10.1007/BF02209180

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  • DOI: https://doi.org/10.1007/BF02209180

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