More on existence and uniqueness of decomposition of excessive functions and measures into extremes

Sergei E. Kuznetsov

Séminaire de probabilités de Strasbourg (1992)

  • Volume: 26, page 445-472

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Kuznetsov, Sergei E.. "More on existence and uniqueness of decomposition of excessive functions and measures into extremes." Séminaire de probabilités de Strasbourg 26 (1992): 445-472. <http://eudml.org/doc/113813>.

@article{Kuznetsov1992,
author = {Kuznetsov, Sergei E.},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {integral representation; excessive function; extreme elements; coexcessive measures},
language = {eng},
pages = {445-472},
publisher = {Springer - Lecture Notes in Mathematics},
title = {More on existence and uniqueness of decomposition of excessive functions and measures into extremes},
url = {http://eudml.org/doc/113813},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Kuznetsov, Sergei E.
TI - More on existence and uniqueness of decomposition of excessive functions and measures into extremes
JO - Séminaire de probabilités de Strasbourg
PY - 1992
PB - Springer - Lecture Notes in Mathematics
VL - 26
SP - 445
EP - 472
LA - eng
KW - integral representation; excessive function; extreme elements; coexcessive measures
UR - http://eudml.org/doc/113813
ER -

References

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  3. [Do59] J.L. Doob. Discrete potential theory and boundaries. J.Math.and Mech., 8(1959), 433 - 458. Zbl0101.11503MR107098
  4. [Dy69a] E.B. Dynkin, Boundary theory of Markov processes (The discrete case). Uspechi matematicheskih nauk, 24:2 (1969). English translation: Russ. Math. Surv.24:2 (1969). Zbl0222.60048MR245096
  5. [Dy69b] E.B. Dynkin, Exit space of a Markov process. Uspechi matematicheskih nauk, 24:4 (1969), 89 - 152. English translation: Russ. Math. Surv.24:4 (1969), 89 - 157. Zbl0201.19801MR264768
  6. [Dy71] E.B. Dynkin, Initial and final behavior of Markov process trajectories. Uspechi matematicheskih nauk, 26:4 (1971), 153 - 172. English translation: Russ. Math. Surv.26:4 (1971), 165 - 185. Zbl0281.60087MR298758
  7. [Dy72] E.B. Dynkin, Integral representation of excessive measures and excessive functions. Uspechi matematicheskih nauk, 27:1 (1972), 43 - 80. English translation: Russ. Math. Surv.27:1 (1972), 43 - 84. Zbl0321.60002MR405602
  8. [Dy78] E.B. Dynkin. Sufficient Statistics and Extreme Points. Ann.Prob.6(1977), 705 - 730. Zbl0403.62009MR518321
  9. [Dy80] E.B. Dynkin, Minimal excessive measures and functions. Trans. Amer. Math. Soc.258 (1980), 217 - 244. Zbl0422.60057MR554330
  10. [Ge75] R.K. Getoor, Markov processes: Ray processes and right processes. Lecture Notes in Mathematics, 440, Springer, Berlin Heidelberg New York1975. Zbl0299.60051MR405598
  11. [Ge89] R.K. Getoor, Excessive measures. Preprint, 1989. MR1093669
  12. [KW63] H. Kunita, T. Watanabe. Markov Processes and Martin boundaries. Bull. Amer. Math. Soc.69(1963), 386 - 391. Zbl0114.33603MR148113
  13. [Kuz73] S.E. Kuznetsov. Construction of Markov process with random birth and death times. Teoria Veroiatnost. I Primenen. 18(1973), 596 - 601. Englishtranslation: Theor.Probability Appl.18(1974). 
  14. [Kuz74] S.E. Kuznetsov. On decomposition of excessive functions. Doklady AN SSSR, 214 (1974), 276 - 278. English translation: Soviet Math. Dokl.15 (1974). Zbl0326.60089MR339342
  15. [Kuz82] S.E. Kuznetsov. Nonhomogeneous Markov processes. Itogi Nauki Tekniki, Seriya Sovremennye Problemy Matematiki20 (1982), 37-172. English translation: J.Soviet Math.25 (1984), 1380 - 1498. Zbl0536.60076MR716331
  16. [Kuz91] S.E. Kuznetsov. On existence of dual semigroups. This volume. 
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  18. [Sha88] M. Sharpe. General Theory of Markov Processes. Academic Press, New York etc. 1988. Zbl0649.60079MR958914

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