Geodesic
Criterions of P.~L\'evy's type for the weak convergence of probabilities in Fr\'echet spaces
Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 3, pp. 580-585

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We give some criterions for the weak convergence of probabilities in Banach spaces in terms of characteristic functionals. This criterions are valid for the special Banach spaces which was studied by the author in [2], [9]. For the case of Frechet spaces the theorem due to Prohorov and Sazonov is precised. 
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     author = {D. H. Mu\v{s}tari},
     title = {Criterions of {P.~L\'evy's} type for the weak convergence of probabilities in {Fr\'echet} spaces},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {580--585},
     publisher = {mathdoc},
     volume = {24},
     number = {3},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1979_24_3_a11/}
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D. H. Muštari. Criterions of P.~L\'evy's type for the weak convergence of probabilities in Fr\'echet spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 24 (1979) no. 3, pp. 580-585. http://geodesic.mathdoc.fr/item/TVP_1979_24_3_a11/