Zeros of densities and decomposition problem for multidimensional entire characteristic functions of order 2
Probability
2013-04-30 v1
Abstract
We consider the entire characteristic functions of order 2 and we prove some decomposition theorems in a multidimensional case. We show that the lack of zeros of the density function is a necessary but not a sufficient (as in the one-dimensional case) condition for a characteristic function to be decomposable. We also find some simple sufficient conditions.
Keywords
Cite
@article{arxiv.1304.7621,
title = {Zeros of densities and decomposition problem for multidimensional entire characteristic functions of order 2},
author = {Monika Maj and Zbigniew Pasternak-Winiarski},
journal= {arXiv preprint arXiv:1304.7621},
year = {2013}
}
Comments
18 pages