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Irreducible and prime distributions

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

Abstract

The complete list of prime distributions will be given on locally compact Abelian groups.

Keywords

  • Compact Group
  • Haar Measure
  • Quotient Group
  • Compact Abelian Group
  • Infinite Product

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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References

  • Csiszár, I. (1966), On infinite products of random elements and infinite convolutions of probability distributions on locally compact groups, Z. Wahrscheinlichkeitstheorie verw. Geb. 5, 279–295.

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  • Parthasarathy, K. R., Ranga Rao, R. and Varadhan, S. R. S. (1963), Probability distributions on locally compact groups, Illinois J. Math. 7, 337–369.

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  • Reiter, H. (1968), Classical harmonic analysis and locally compact groups, Clarendon, Oxford.

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  • Ruzsa, I. Z. and Székely, G. J. (198?a), No distribution is prime, submitted to the Z. Wahrscheinlichkeitstheorie verw. Geb.

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  • Ruzsa, I. Z. and Székely, G. J. (198?b), Convolution quotients of non-negative functions, submitted to the Monathshefte f. Math.

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© 1982 Springer-Verlag

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Ruzsa, I.Z., Székely, G.J. (1982). Irreducible and prime distributions. In: Heyer, H. (eds) Probability Measures on Groups. Lecture Notes in Mathematics, vol 928. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093233

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  • DOI: https://doi.org/10.1007/BFb0093233

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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