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Lévy-Kchinchine formula on vector spaces

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1391)

Keywords

  • Probability Measure
  • Open Neighbourhood
  • Conditional Compactness
  • Continuous Semigroup
  • Semi Group

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References

  1. Böge, W. (1964). Zür Charakterisierung sukzessiv unendlich teilbarer Wahrscheinlichkeitsverteilungen auf lokalkompakten Gruppen. Z. Wahr. verw. Gebiete 2, 380–394.

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  2. Byczkowski, T. and Samotij, K. (1986). Absolute continuity of stable seminorms. Ann. Probability 14, 299–312.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Byczkowski, T. and Żak T. (1981). Asymptotic properties of semigroups of measures on vector spaces. Ann. Probability 9, 211–220.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. Dunford, N. and Schwartz, J. (1958). Linear Operators, Part I. Interscience Publishers, New York, London.

    MATH  Google Scholar 

  5. Parthasarathy, K.R. (1967). Probability Measures on Metric Spaces. Academic Press, New York.

    CrossRef  MATH  Google Scholar 

  6. Rolewicz, S. (1972). Metric Linear Spaces. Monografie Matematyczne 56, PWN Warszawa.

    Google Scholar 

  7. Siebert, E. (1974). Einbettung unedlich teilbarer Wahrscheinlichkeitsmasse auf topologischen Gruppen. Z. Wahr. Verw. Gebiete 28, 227–247.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. Siebert, E. (1976). Convergence and convolutions of probability measures on a topological group. Ann. Probability 4, 433–443.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Tortrat, A. (1967). Structure des lois indéfiniment divisibles dans un espace vectoriel topologique (separé) X. Lect. Notes in Math. 31, 299–328.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1989 Springer-Verlag

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Byczkowski, T., Graczyk, P. (1989). Lévy-Kchinchine formula on vector spaces. In: Cambanis, S., Weron, A. (eds) Probability Theory on Vector Spaces IV. Lecture Notes in Mathematics, vol 1391. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083377

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  • DOI: https://doi.org/10.1007/BFb0083377

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51548-7

  • Online ISBN: 978-3-540-48244-4

  • eBook Packages: Springer Book Archive