Geodesic
A generalization of Е.~Siebert's theorem on convergence of convolution semigroups and accompanying laws
Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 4, pp. 929-934

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The convergence of sequences of convolution semigroups of probabilities in terms of their generating functionals is described. The equivalence of the convergence of the accompanying laws and the corresponding generating functionals is proved in the case of an arbitrary locally compact group.
Keywords: continuous and discrete convolution semigroups, generating functionals, accompanying laws, convergence of convolution semigroups
Mots-clés : domains of attraction. 
@article{TVP_1995_40_4_a22,
     author = {W. Hazod},
     title = {A generalization of {{\CYRE}.~Siebert's} theorem on convergence of convolution semigroups and accompanying laws},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {929--934},
     publisher = {mathdoc},
     volume = {40},
     number = {4},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_1995_40_4_a22/}
}
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W. Hazod. A generalization of Е.~Siebert's theorem on convergence of convolution semigroups and accompanying laws. Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 4, pp. 929-934. http://geodesic.mathdoc.fr/item/TVP_1995_40_4_a22/