Geodesic
Tauberian theorems and asymptotics of infinitely divisible
Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 3, pp. 487-502

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This paper proves three multidimensional Tauberian theorems, which we use to prove the asymptotics at infinity of infinitely divisible distributions with support in a closed convex acute solid and homogeneous cone in $R^n$.
Keywords: regularly varying functions along a family of operators, completely admissible functions for a cone, infinitely divisible distributions, spectral Lévy measure. 
@article{TVP_2003_48_3_a3,
     author = {A. L. Yakymiv},
     title = {Tauberian theorems and asymptotics of infinitely divisible},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {487--502},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_2003_48_3_a3/}
}
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A. L. Yakymiv. Tauberian theorems and asymptotics of infinitely divisible. Teoriâ veroâtnostej i ee primeneniâ, Tome 48 (2003) no. 3, pp. 487-502. http://geodesic.mathdoc.fr/item/TVP_2003_48_3_a3/