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Infinite convolution and shift-convergence of measures on topological groups

Part of the Lecture Notes in Mathematics book series (LNM,volume 928)

Abstract

Kloss’ “general principle of convergence”, until now available for first-countable groups, is established for a wider class including e.g. all locally compact commutative groups. The proof combines Csiszár’s method with a Fourier analytic technique.

Keywords

  • Compact Group
  • Weak Topology
  • Compact Subgroup
  • Cluster Point
  • Fourier Analytic Technique

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1982 Springer-Verlag

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Ruzsa, I.Z. (1982). Infinite convolution and shift-convergence of measures on topological groups. In: Heyer, H. (eds) Probability Measures on Groups. Lecture Notes in Mathematics, vol 928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093232

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  • DOI: https://doi.org/10.1007/BFb0093232

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11501-4

  • Online ISBN: 978-3-540-39206-4

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