论文信息 - A Sharp Form of the Cramér–Wold Theorem

A Sharp Form of the Cramér–Wold Theorem

Abstract The Cramér–Wold theorem states that a Borel probability measure P on ℝd is uniquely determined by its one-dimensional projections. We prove a sharp form of this result, addressing the problem of how large a subset of these projections is really needed to determine P. We also consider extensions of our results to measures on a separable Hilbert space.

J. A. Cuesta-Albertos | T. Ransford | R. Fraiman

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