Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 493-498
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S. A. Molchanov. Strongly-Feller's diffusion processes on smooth manifolds. Teoriâ veroâtnostej i ee primeneniâ, Tome 13 (1968) no. 3, pp. 493-498. http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a8/
@article{TVP_1968_13_3_a8,
author = {S. A. Molchanov},
title = {Strongly-Feller's diffusion processes on smooth manifolds},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {493--498},
year = {1968},
volume = {13},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a8/}
}
TY - JOUR
AU - S. A. Molchanov
TI - Strongly-Feller's diffusion processes on smooth manifolds
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1968
SP - 493
EP - 498
VL - 13
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a8/
LA - ru
ID - TVP_1968_13_3_a8
ER -
%0 Journal Article
%A S. A. Molchanov
%T Strongly-Feller's diffusion processes on smooth manifolds
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1968
%P 493-498
%V 13
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1968_13_3_a8/
%G ru
%F TVP_1968_13_3_a8
We prove that the coalescence of two regular strongly-Feller's processes is a process of the same type. Using this result, we construct non-degenerate strongly-Feller's diffusion processes on smooth manifolds. Some of the main results of this paper have been formulated by I. V. Girsanov in his article [1].
