Geodesic
Limit Theorems for Markov Processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 3 (1958) no. 3, pp. 217-264 
A. V. Skorokhod. Limit Theorems for Markov Processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 3 (1958) no. 3, pp. 217-264. http://geodesic.mathdoc.fr/item/TVP_1958_3_3_a0/
@article{TVP_1958_3_3_a0,
     author = {A. V. Skorokhod},
     title = {Limit {Theorems} for {Markov} {Processes}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {217--264},
     year = {1958},
     volume = {3},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1958_3_3_a0/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

General theorems obtained in [1] are used to obtain concrete results for Markov processes. These results are formulated in terms of infinitesimal operators of Markov processes (see [13]). It is proved, with some general assumptions made, that the convergence of initial distributions and infinitesimal operators of processes is entailed with the convergence of distributions of $\mathrm J_1$-continuous functionals of these processes (see [1]).