Geodesic
Convergence of distributions of sums of independent random variables with values in a Hilbert space to the normal and Poisson distributions
Doklady Akademii Nauk, Tome 197 (1971) no. 6, pp. 1258-1260.

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@article{DAN_1971_197_6_a5,
     author = {V. M. Kruglov},
     title = {Convergence of distributions of sums of independent random variables with values in a {Hilbert} space to the normal and {Poisson} distributions},
     journal = {Doklady Akademii Nauk},
     pages = {1258--1260},
     publisher = {mathdoc},
     volume = {197},
     number = {6},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DAN_1971_197_6_a5/}
}
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V. M. Kruglov. Convergence of distributions of sums of independent random variables with values in a Hilbert space to the normal and Poisson distributions. Doklady Akademii Nauk, Tome 197 (1971) no. 6, pp. 1258-1260. http://geodesic.mathdoc.fr/item/DAN_1971_197_6_a5/