The well-known Cramér-Wold theorem states that a Borel
probability measure on $\mathbb{R}^d$ is uniquely determined by the totality of
its one-dimensional projections. In this paper we examine various conditions
under which a probability measure is determined by a subset of its $(d -
1)$-dimensional orthogonal projections.
Publié le : 1997-04-14
Classification:
Cramér-Wold theorem,
probability measure,
characteristic function,
projection,
analytic function,
quasi-analytic class,
determination,
60E05,
60E10
@article{1024404418,
author = {B\'elisle, Claude and Mass\'e, Jean-Claude and Ransford, Thomas},
title = {When is a probability measure determined by infinitely many
projections?},
journal = {Ann. Probab.},
volume = {25},
number = {4},
year = {1997},
pages = { 767-786},
language = {en},
url = {http://dml.mathdoc.fr/item/1024404418}
}
Bélisle, Claude; Massé, Jean-Claude; Ransford, Thomas. When is a probability measure determined by infinitely many
projections?. Ann. Probab., Tome 25 (1997) no. 4, pp. 767-786. http://gdmltest.u-ga.fr/item/1024404418/