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A calculus proof of the Cramér–Wold theorem

A calculus proof of the Cramér-Wold theorem
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 12 Oct 2017Embargo end date: 01 Jan 2016 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 146, pages 1,331-1,334 (issn: 0002-9939, eissn: 1088-6826, Copyright policy )Funded by:NSF | New problems in continuum..., NSF | Interactions Among Probab...
Authors: Lyons, Russell; Zumbrun, Kevin;

doi: 10.1090/proc/13794 , 10.48550/arxiv.1607.03206

arXiv: 1607.03206

A calculus proof of the Cramér–Wold theorem

Abstract

We present a short, elementary proof not involving Fourier transforms of the theorem of Cramér and Wold that a Borel probability measure is determined by its values on half-spaces.

Related Organizations
Keywords

Characteristic functions; other transforms, Probability (math.PR), FOS: Mathematics, Integral geometry, distributions of probability measures, Mathematics - Probability, Radon transform, integral geometry, 60E10, Secondary 44A12, 53C65

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
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Average
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