Tauberian theorems for decreasing functions of dominated variation
Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 2, pp. 357-363
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Tauberian theorems are proved for decreasing functions of dominated variation. Some corollaries to the theorems are given.
Keywords:
Tauberian theorem, function of dominated variation, renewal function, recurrent random walk, the moment of the first return to 0.
@article{TVP_2002_47_2_a11,
author = {B. A. Rogozin},
title = {Tauberian theorems for decreasing functions of dominated variation},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {357--363},
year = {2002},
volume = {47},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2002_47_2_a11/}
}
B. A. Rogozin. Tauberian theorems for decreasing functions of dominated variation. Teoriâ veroâtnostej i ee primeneniâ, Tome 47 (2002) no. 2, pp. 357-363. http://geodesic.mathdoc.fr/item/TVP_2002_47_2_a11/