On the existence of a dual semigroup

Sergei E. Kuznetsov

Séminaire de probabilités de Strasbourg (1992)

  • Volume: 26, page 473-484

How to cite


Kuznetsov, Sergei E.. "On the existence of a dual semigroup." Séminaire de probabilités de Strasbourg 26 (1992): 473-484. <http://eudml.org/doc/113814>.

author = {Kuznetsov, Sergei E.},
journal = {Séminaire de probabilités de Strasbourg},
keywords = {dual semigroup; entrance law; excessive measure; stochastic continuity; stochastically continuous semigroup},
language = {eng},
pages = {473-484},
publisher = {Springer - Lecture Notes in Mathematics},
title = {On the existence of a dual semigroup},
url = {http://eudml.org/doc/113814},
volume = {26},
year = {1992},

AU - Kuznetsov, Sergei E.
TI - On the existence of a dual semigroup
JO - Séminaire de probabilités de Strasbourg
PY - 1992
PB - Springer - Lecture Notes in Mathematics
VL - 26
SP - 473
EP - 484
LA - eng
KW - dual semigroup; entrance law; excessive measure; stochastic continuity; stochastically continuous semigroup
UR - http://eudml.org/doc/113814
ER -


  1. [BG68] R.G. Blumenthal and R.K. Getoor, Markov Processes and Potential Theory,Academic Press, New York, 1968. Zbl0169.49204MR264757
  2. [CR78] K.L. Chung, M. Rao. On existence of a dual process. Matematisk institut Aarhus Universitet, 1978, Preprint N 25. Zbl0392.60052
  3. [DM75] C. Dellacherie and P.-A. Meyer, Probabilités et Potentiel, (2ième édition); Chapitres I - IV, 1975; Chapitres V - VIII, 1980, Chapitres IX - XI, 1983; Chapitres XII - XVI, 1987, Hermann, Paris. MR488194
  4. [Do53] J.L. Doob. Stochastic processes. 1953, J.Wiley, New York. Zbl0053.26802MR58896
  5. [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
  6. [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
  7. [Dy73] E.B. Dynkin. Regular Markov processes. Uspechi matematicheskih nauk, 28:2 (1973), 35 - 64. English translation: Russ. Math. Surv.28:2 (1973), 33 - 64. Zbl0385.60059MR400410
  8. [GM73] M.A. Garsia, P.-A. Meyer. Théorie de la dualité des processus de Markov à ensemble polaire près. I. Ann. Probab.1(1973), 207 - 222. Zbl0263.60028MR383553
  9. [Ge75] R.K. Getoor, Markov processes: Ray processes and right processes. Lecture Notes in Mathematics, 440, Springer, Berlin Heidelberg New York1975. Zbl0299.60051MR405598
  10. [J78] T. Jeulin. Compactification de Martin d'un processus droit. Z. W.42(1978), 229 - 260. Zbl0362.60081MR478370
  11. [Kuz73] S.E. Kuznetsov. Construction of Markov process with random birth and death times. Teoria Veroiatnost. i Primenen. 18(1973), 596 - 601. English translation: Theor.Probability Appl.18(1974). 
  12. [Kuz80] S.E. Kuznetsov. Any Markov process in Borel state space has a transition function. Teoria Veroiatnost. i Primenen. 25(1980), 389-393. English translation: Theor.Probability Appl.25(1980). Zbl0431.60071MR572574
  13. [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
  14. [Kuz86] S.E. Kuznetsov. On existence of a homogeneous transition function. Teoria Veroiatnost. i Primenen. 31(1986), 290 - 300. English translation: Theor.Probability Appl.31(1986). Zbl0658.60097MR850989
  15. [Pa67] K.R. Parthasarathy. Probability measures on metric spaces. Academic press, New York etc., 1967. Zbl0153.19101MR226684
  16. [Sha88] M. Sharpe. General Theory of Markov Processes. Academic Press, New York etc. 1988. Zbl0649.60079MR958914
  17. [Shu77] M.G. Shur. On dual Markov processes. Teoria Veroiatnost. i Primenen. 22(1977), 264-278. English translation: Theor. Probability Appl.22(1977). Zbl0379.60072MR443108
  18. [SW73] R.T. Smithe, J.B. Walsh. The existence of dual processes. Invent. Math.19(1973), 113 - 148. Zbl0243.60008MR329053

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