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Infinite convolution and shift-convergence of measures on topological groups

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Probability Measures on Groups

Part of the book series: Lecture Notes in Mathematics ((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.

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References

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Herbert Heyer

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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

  • eBook Packages: Springer Book Archive

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