Geodesic
Orthogonal random vectors and the Hurwitz-Radon-Eckmann theorem.
Georgian Mathematical Journal, Tome 1 (1994) no. 1, pp. 99-113.

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Keywords: maximal number of unitary antisymmetric operators, Hurwitz-Radon-Eckmann formula, conditions for almost sure orthogonality of two random vectors, covariance operator 
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     title = {Orthogonal random vectors and the {Hurwitz-Radon-Eckmann} theorem.},
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Vakhania, N. Orthogonal random vectors and the Hurwitz-Radon-Eckmann theorem.. Georgian Mathematical Journal, Tome 1 (1994) no. 1, pp. 99-113. http://geodesic.mathdoc.fr/item/GMJ_1994__1_1_47046/