%0 Journal Article %T An Analogue of the L¨¦vy-Cram¨¦r Theorem for Multi-Dimensional Rayleigh Distributions %A Thu Nguyen %J Mathematics %D 2009 %I arXiv %X In the present paper we prove that every k-dimensional Cartesian product of Kingman convolutions can be embedded into a k-dimensional symmetric convolution (k=1, 2, ...) and obtain an analogue of the Cram\'er-L\'evy theorem for multi-dimensional Rayleigh distributions. %U http://arxiv.org/abs/0907.5035v3