Maximal Homomorphic Group Image and Convergence of Convolution Sequences on a Semigroup

Göran Högnäs () and Arunava Mukherjea
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Göran Högnäs: Åbo Akademi University
Arunava Mukherjea: University of South Florida

Journal of Theoretical Probability, 2003, vol. 16, issue 4, 847-854

Abstract: Abstract Let μ be a probability measure generating a locally compact semigroup S. If the convolution sequence μ n is tight, in particular if S is compact, S admits a closed minimal ideal K. The convergence of μ n is characterized in terms of convergence of a homomorphic image (~μ) n on a factor group of the compact group G in the Rees–Suschkewitsch decomposition of K.

Keywords: weak convergence; convolution products of probability measures; stochastic matrices; semigroups (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/B:JOTP.0000011996.44195.2b

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