A calculus proof of the Cramér–Wold theorem
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- by Russell Lyons and Kevin Zumbrun PDF
- Proc. Amer. Math. Soc. 146 (2018), 1331-1334 Request permission
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.References
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Additional Information
- Russell Lyons
- Affiliation: Department of Mathematics, 831 East 3rd Street, Indiana University, Bloomington, Indiana 47405-7106
- MR Author ID: 196888
- Email: rdlyons@indiana.edu
- Kevin Zumbrun
- Affiliation: Department of Mathematics, 831 East 3rd Street, Indiana University, Bloomington, Indiana 47405-7106
- MR Author ID: 330192
- Email: kzumbrun@indiana.edu
- Received by editor(s): July 11, 2016
- Received by editor(s) in revised form: April 22, 2017
- Published electronically: October 12, 2017
- Additional Notes: This research was partially supported by NSF grants DMS-1007244 and DMS-1400555
- Communicated by: Mark M. Meerschaert
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1331-1334
- MSC (2010): Primary 60E10; Secondary 44A12, 53C65
- DOI: https://doi.org/10.1090/proc/13794
- MathSciNet review: 3750244