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Zeros of densities and decomposition problem for multidimensional entire characteristic functions of order 2 (1304.7621v1)
Published 29 Apr 2013 in math.PR
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.
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