On Normal Distributions in $l_p$
Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 4, pp. 737-738
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The note contains two theorems. The first theorem states that in $l_p$ a normal measure integrates any power of $\|x\|$. In the second one the general form of the characteristic functional of a normal measure in $l_p$ is found.
@article{TVP_1964_9_4_a16,
author = {N. N. Vahaniya},
title = {On {Normal} {Distributions} in~$l_p$},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {737--738},
year = {1964},
volume = {9},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1964_9_4_a16/}
}
N. N. Vahaniya. On Normal Distributions in $l_p$. Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 4, pp. 737-738. http://geodesic.mathdoc.fr/item/TVP_1964_9_4_a16/