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

Author

Listed:
  • Göran Högnäs

    (Åbo Akademi University)

  • Arunava Mukherjea

    (University of South Florida)

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.

Suggested Citation

  • Göran Högnäs & Arunava Mukherjea, 2003. "Maximal Homomorphic Group Image and Convergence of Convolution Sequences on a Semigroup," Journal of Theoretical Probability, Springer, vol. 16(4), pages 847-854, October.
    • Handle: RePEc:spr:jotpro:v:16:y:2003:i:4:d:10.1023_b:jotp.0000011996.44195.2b
    DOI: 10.1023/B:JOTP.0000011996.44195.2b
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    References listed on IDEAS

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    1. Santanu Chakraborty & B. V. Rao, 2001. "Convolution Powers of Probabilities on Stochastic Matrices," Journal of Theoretical Probability, Springer, vol. 14(2), pages 599-603, April.
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