Skip to main content
SpringerLink
Log in
Book cover

Probability Theory on Vector Spaces III pp 69–89Cite as

Stable and semistable probabilities on groups and on vectorspaces

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1080))

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature

  1. CH. BERG, G. FORST: “Multiply self-decomposable probability measures on ℝ+ and ℤ+.”

    Google Scholar 

  2. Wahrscheinlichkeitstheorie verw. Gebiete 62 (1983) 147–163.

    Google Scholar 

  3. TH. DRISCH, L. GALLARDO: “Stable laws on the Heisenberg group”. In: Probability measures on groups. Proceedings. Oberwolfach 1983 To appear in Lecture Notes Math. 1984.

    Google Scholar 

  4. P. GŁOWACKI: “Stable semigroups of measures on the Heisenberg group”. (Preprint 1983).

    Google Scholar 

  5. W. HAZOD: “Stetige Halbgruppen von Wahrscheinlichkeitsmaßen und erzeugende Distributionen”. Lecture Notes Math. Vol. 595 (1977).

    Google Scholar 

  6. W. HAZOD: “Stable probabilities on locally compact groups”. In: Probability measures on groups. Proceedings, Lecture Notes Math. 928. Springer: Berlin, Heidelberg, New York (1982).

    Chapter  Google Scholar 

  7. W. HAZOD: “Remarks on [semi-] stable probabilites.“ In: Probability measures on groups. Proceedings Oberwolfach (1983), to appear in Lecture Notes Math. (1984).

    Google Scholar 

  8. W. HAZOD: “Subordination von Faltungs-und Operatorhalbgruppen”. In: Probability measures on groups. Proceedings Oberwolfach (1978) Lecture Notes Math. 706 (1979) 144–202.

    Article  MathSciNet  MATH  Google Scholar 

  9. H. HEYER: “Probability measures on locally compact groups”. Ergebnisse der Math. Berlin-Heidelberg-New York, Springer 1977.

    Google Scholar 

  10. W.N. HUDSON, J.D. MASON: “Operator stable laws”. J. Mult. Analysis 11 (1981) 434–447.

    Article  MathSciNet  MATH  Google Scholar 

  11. R. JAJTE: “Semistable probability measures on ℝN”. Studia Math. 61 (1977) 29–39.

    MathSciNet  MATH  Google Scholar 

  12. R. JAJTE: “V-decomposable measures on Hilbertspaces. In: Probability theory on Vector Spaces II. Proceedings Błazejewsko (1979). Lecture Notes in Math. 828 (1980) 108–127.

    Article  MathSciNet  Google Scholar 

  13. Z.J. JUREK: “Convergence of types, self decomposibility and stability of measures on linear spaces”. Probability on Banach spaces III. Proceedings. Lecture Notes in Math. 860 (1981) 257–284.

    Article  MathSciNet  Google Scholar 

  14. Z.J. JUREK: “On stability of probability measures in Euclidean spaces”. Probability theory on Banach spaces II. Proceedings. Lecture Notes Math. 828 (1980) 129–145.

    MathSciNet  Google Scholar 

  15. A. LUCZAK: “Operator semi-stable probability measures on ℝN”. Coll. Math. 45 (1981) 287–299.

    MathSciNet  MATH  Google Scholar 

  16. A. LUCZAK: “Elliptical symmetry and characterization of operatorstable and operator semi-stable measures”. (Preprint 1983).

    Google Scholar 

  17. M. SHARPE: “Operator stable probability measures on vector groups”. Trans. Amer. Math. Soc. 136 (1969) 51–65.

    Article  MathSciNet  MATH  Google Scholar 

  18. E. SIEBERT: “Semistable convolution semigroups on measurable and topological groups”. (Preprint 1982). To appear in: Ann. Inst. Henri Poincaré.

    Google Scholar 

  19. E. SIEBERT: “Supplements to operator-stable and operator semistable laws on Euclidean spaces.” Preprint (1984).

    Google Scholar 

  20. E. SIEBERT: In preparation.

    Google Scholar 

  21. K. URBANIK: “Lévy’s probability measures on Euclidean Spaces”. Studia Math. 44 (1972) 119–148.

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Abteilung Mathematik, Universität Dortmund, Postfach 500 500, D-4600, Dortmund 50

    W. Hazod

Authors
  1. W. Hazod
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Dominik Szynal Aleksander Weron

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Hazod, W. (1984). Stable and semistable probabilities on groups and on vectorspaces. In: Szynal, D., Weron, A. (eds) Probability Theory on Vector Spaces III. Lecture Notes in Mathematics, vol 1080. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099786

Download citation

  • DOI: https://doi.org/10.1007/BFb0099786

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13388-9

  • Online ISBN: 978-3-540-38939-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation