Skip to main content

On a formula of N.Ikeda and S.Watanabe concerning the Lévy kernel

  • 447 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1064)

Keywords

  • Markov Process
  • Markov Property
  • Borel Subset
  • Continuous Semigroup
  • Infinitesimal Generator

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.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • 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.

References

  1. R.M.Blumenthal and R.K.Getoor, Markov Processes and Potential Theory, Academic Press, 1968.

    Google Scholar 

  2. Ph.Courrége, Sur la forme intégro-differentielle des operateurs de c k dans c satisfaisant au prinoipe du maximum, Séminaire Brelot-Choquet-Deny, Théorie du potentiel, 10e année /1965–66/.

    Google Scholar 

  3. C.Dellacherie and P.A.Meyer, Probabilities and Potential, North-Holland Mathematics Studies 29, 1978.

    Google Scholar 

  4. E.B. Dynkin, Fundations of the theory of Markov processes /in russian/, "Fizmatgiz", Moscov, 1059.

    Google Scholar 

  5. E.B. Dyakin, Markov processes /in russian/, "Fizmatgiz", Moscow, 1963.

    Google Scholar 

  6. W. Feller, An introduction to probability theory and its applications, Vol.II /in russian/, "Mir", Moscow, 1967.

    MATH  Google Scholar 

  7. I.I. Gihman and A.V. Skorohod, Theory of stochastic processes, Vol.I /in russian/, "Nauka", Moscow, 1971.

    MATH  Google Scholar 

  8. H.Heyer, Einführung in die Theorie Markoffscher Prozesse, Bibliographisches Institut, 1979.

    Google Scholar 

  9. H. Heyer, Probability measures on locally compact groups /in russian/, "Mir", Moscow, 1981.

    MATH  Google Scholar 

  10. E.Hille and R.S.Phillips, Functional analysis and semigroups, A.M.S. Colloquium Publications, Vol.XXXI, 1957.

    Google Scholar 

  11. G.A. Hunt, Semi-groups of measures on Lie groups, TAMS 81 /1956/, p.264–293.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. N. Ikeda and S. Watanabe, On some relations between the harmonic measure and the Lévy measure for a certain class of Markov processes, J.Math.Kyoto Univ. 2 /1962/, p. 79–95.

    MathSciNet  MATH  Google Scholar 

  13. J.Jacod, Calcul Stochastique et Problémes de Martingales, Springer Lecture Notes in Mathematics, Vol. 714, 1979.

    Google Scholar 

  14. J.R. Kinney, Continuity properties of sample-functions of Markov processes, TAMS 74 /1953/, p. 280–302.

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. J.Lamperti, Stochastic Processes, a Survey of the Mathematical Theory, Applied Mathematical Sciences, Vol. 23, Springer-Verlag, 1977.

    Google Scholar 

  16. J.P. Roth, Opérateurs dissipatifs et semi-groupes dans les espaces de fonctions continues, Ann.Inst. Fourier, 26 /1976/, p. 1–97.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. S.Saks, Theory of the Integral, Warszawa-Lwów, 1937.

    Google Scholar 

  18. S. Watanabe, On discontinuous additive functionals and Lévy measures of a Markov process, Japanese J.Math. 34 /1964/, p. 53–70.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1984 Springer-Verlag

About this paper

Cite this paper

Kisyński, J. (1984). On a formula of N.Ikeda and S.Watanabe concerning the Lévy kernel. In: Heyer, H. (eds) Probability Measures on Groups VII. Lecture Notes in Mathematics, vol 1064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073647

Download citation

  • DOI: https://doi.org/10.1007/BFb0073647

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13341-4

  • Online ISBN: 978-3-540-38874-6

  • eBook Packages: Springer Book Archive