Geodesic
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. 
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/
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     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/}
}
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