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Let E be a Banach space, and let E* be its dual. For understanding the main results of this paper it is enough to consider E= $$\mathbb{R}$$ n. A symmetric random vector X taking values in E is called pseudo-isotropic if all its one-dimensional projections have identical distributions up to a scale parameter, i.e., for every ξ∈E* there exists a positive constant c(ξ) such that (ξ, X) has the...
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