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. 
@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},
     publisher = {mathdoc},
     volume = {47},
     number = {2},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2002_47_2_a11/}
}
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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/