Geodesic
On non-degenerate probability distributions in the space $l_p(1\le p\infty)$
Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 3, pp. 524-528 
N. N. Vakhania. On non-degenerate probability distributions in the space $l_p(1\le p<\infty)$. Teoriâ veroâtnostej i ee primeneniâ, Tome 11 (1966) no. 3, pp. 524-528. http://geodesic.mathdoc.fr/item/TVP_1966_11_3_a13/
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     author = {N. N. Vakhania},
     title = {On non-degenerate probability distributions in the space $l_p(1\le p<\infty)$},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {524--528},
     year = {1966},
     volume = {11},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1966_11_3_a13/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The definition of non-degeneracy of a probability distribution $\mu$, in the spacе $l_p(1\le p<\infty)$ is given and some properties of a non-degenerate $\mu$ are proved in the following two cases: 1. $\mu$ has the covariance operator, 2. $\mu$ is a normal distribution.