Previous |  Up |  Next

Article

References:
[1] J. L. Doob: One-parameter families of transformations. Duke Math. J. 4 (1938), 752 - 774. DOI 10.1215/S0012-7094-38-00466-1 | MR 1546095 | Zbl 0020.10902
[2] J. L. Doob: Stochastic processes. New York 1953. MR 0058896 | Zbl 0053.26802
[3] N. Dunford J. T. Schwartz: Linear operators I. Interscience Publishers, New York 1958. MR 0117523
[4] W. Feller: Non-Markovian processes with the semigroup property. Annals of Math. Stat. 30 (1959), 1252-1253. DOI 10.1214/aoms/1177706110 | MR 0110124
[5] P. Halmos: Measure theory. New York 1950. MR 0033869 | Zbl 0040.16802
[6] T. E. Harris: The existence of stationary measures for certain Markov processes. Proc. Third Berkeley Symposium, 1956, vol. II, 113 - 124. MR 0084889 | Zbl 0072.35201
[7] D. G. Kendall: Integral representations for Markov transition probabilities. Bull. Amer. Math. Soc. 64 (1958), 358-362. DOI 10.1090/S0002-9904-1958-10230-X | MR 0126880 | Zbl 0198.22801
[8] D. G. Kendall: Unitary dilations of Markov transition operators, and the corresponding integral representations for transition-probability matrices. Probability & Statistics, The Harald Cramér Volume, New York 1959, 139-161. MR 0116389 | Zbl 0117.35801
[9] D. G. Kendall: Unitary dilations of one-parameter semigroups of Markov transition operators, and the corresponding integral representations for Markov processes with a countable infinity of states. Proc. London Math. Soc. (3) 9 (1959), 417 - 431. MR 0116390 | Zbl 0117.35802
[10] A. N. Kolmogorov: Zur Theorie der Markoffschen Ketten. Math. Ann. 112 (1936), 155 - 160. DOI 10.1007/BF01565412 | MR 1513044
[11] H. P. Kramer: Symmetrizable Markov matrices. Annals of Math. Stat. 30 (1959), 149 - 153. DOI 10.1214/aoms/1177706367 | MR 0103542 | Zbl 0146.38601
[12] S. Leader: The theory of $L^p$-spaces for finitely additive set functions. Ann. of Math. 58 (1953), 528-543. DOI 10.2307/1969752 | MR 0058126
[13] E. Nelson: The adjoint Markoff process. Duke Math. J. 25 (1958), 671-690. DOI 10.1215/S0012-7094-58-02561-4 | MR 0101555 | Zbl 0084.13402
[14] S. Orey: Recurrent Markov chains. Pacific J. Math. 9 (1959), 805 - 827. DOI 10.2140/pjm.1959.9.805 | MR 0125632 | Zbl 0095.32902
[15] Т. А. Сарымсаков: Основы теории процессов Маркова. Москва 1954. Zbl 0995.90535
[16] В. Sz.-Nagy: Sur les contractions de l'espace de Hubert. Acta Sci. Math. Szeged 15 (1953 - 54), 87-92. MR 0058128
[17] K. Yosida S. Kakutani: Operator theoretical treatment of Markoff's process and mean ergodic theorem. Ann. of Math. 42 (1941), 188 - 228. DOI 10.2307/1968993 | MR 0003512
[18] A. Zygmund: Trigonometric series. Cambridge 1959. Zbl 0085.05601
Partner of
EuDML logo