Geodesic
Limit theorems for sums of independent random variables with values in a Hilbert space
Matematika, Tome 9 (1965) no. 2, pp. 147-175.

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@article{MAT_1965_9_2_a9,
     author = {S. R. S. Varadhan},
     title = {Limit theorems for sums of independent random variables with values in a {Hilbert} space},
     journal = {Matematika},
     pages = {147--175},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {1965},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAT_1965_9_2_a9/}
}
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S. R. S. Varadhan. Limit theorems for sums of independent random variables with values in a Hilbert space. Matematika, Tome 9 (1965) no. 2, pp. 147-175. http://geodesic.mathdoc.fr/item/MAT_1965_9_2_a9/