Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 712-728
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M. G. Šur. An ergodic theorem for Markov processes. II. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 712-728. http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a4/
@article{TVP_1977_22_4_a4,
author = {M. G. \v{S}ur},
title = {An ergodic theorem for {Markov} {processes.~II}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {712--728},
year = {1977},
volume = {22},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a4/}
}
TY - JOUR
AU - M. G. Šur
TI - An ergodic theorem for Markov processes. II
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1977
SP - 712
EP - 728
VL - 22
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a4/
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%T An ergodic theorem for Markov processes. II
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1977
%P 712-728
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%U http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a4/
%G ru
%F TVP_1977_22_4_a4
The main result of [8] is extended to the case of integrable functions. It is also proved that our previous assumption about the existence of a dual process can be omitted if the basic process has the absolutely continuous resolvent. Special attention is paid to ergodic Markov processes.
