Skip to main content
Log in

The sweeping-out of additive functionals and processes on the boundary

  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. E. B. Dynkin, “Intrinsic topology and excessive functions connected with Markov process,”Doklady, Academii Nauk, U.S.S.R., 127 (1959), 17–19 (in Russian).

    MathSciNet  MATH  Google Scholar 

  2. E. B. Dynkin,Markov Processes, Moscow, 1963 (in Russian).

  3. G. A. Hunt, “Markov processes and potentials I,”Illinois Jour. Math., 1 (1957), 44–93.

    MATH  Google Scholar 

  4. G. A. Hunt, “Markov processes and potentials III,”Illinois Jour. Math., 2 (1958), 151–213.

    Google Scholar 

  5. N. Ikeda, T. Ueno, H. Tanaka and K. Sato, “Boundary problems of multidimensional diffusions II,”Seminar on Probability, 5 (1960) (in Japanese).

  6. P. A. Meyer,“Fonctionnelles multiplicatives et additives de Markov,”Ann. Inst. Fourier,12 (1962), 125–230.

    Article  MATH  Google Scholar 

  7. M. Motoo, “Representation of a certain class of excessive functions and a generator of Markov process,”Scientific Papers of Coll. of General Education (Univ. of Tokyo), 12 (1962), 143–159.

    MathSciNet  MATH  Google Scholar 

  8. M. Motoo, “The Lévy measure of U-process,” to appear.

  9. |T. Ueno, “The diffusion satisfying Wentzell’s boundary conditions and the Markov process on the boundary,”Proc. Japan Acad., 36 (1960), 533–538.

    Article  MathSciNet  MATH  Google Scholar 

  10. V. A. Volkonskii, “Additive functionals of Markov processes,”Trudy Moskov. Mat. Obšč., 9 (1959), 143–189 (in Russian).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

About this article

Cite this article

Motoo, M. The sweeping-out of additive functionals and processes on the boundary. Ann Inst Stat Math 16, 317–345 (1964). https://doi.org/10.1007/BF02868579

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02868579

Keywords

Navigation