Geodesic
Characterization of Elliptic Distributions
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 5, Tome 294 (2002), pp. 19-28

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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. 
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     author = {Ya. I. Belopol'skaya and V. \`E. Volkovich and L. B. Klebanov},
     title = {Characterization of {Elliptic} {Distributions}},
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     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/