Geodesic
Characterization of Elliptic Distributions
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 5, Tome 294 (2002), pp. 19-28 Cet article a éte moissonné depuis la source Math-Net.Ru

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A characterization of elliptic distributions in $\mathbb R^d$ by an extremal property for a class of probability distances is obtained. The generalization for the case of Hilbert spaces is given. 
@article{ZNSL_2002_294_a1,
     author = {Ya. I. Belopol'skaya and V. \`E. Volkovich and L. B. Klebanov},
     title = {Characterization of {Elliptic} {Distributions}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {19--28},
     year = {2002},
     volume = {294},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a1/}
}
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Ya. I. Belopol'skaya; V. È. Volkovich; L. B. Klebanov. Characterization of Elliptic Distributions. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 5, Tome 294 (2002), pp. 19-28. http://geodesic.mathdoc.fr/item/ZNSL_2002_294_a1/