Zeros of densities and decomposition problem for multidimensional entire characteristic functions of order 2

Monika Maj; Zbigniew Pasternak-Winiarski

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arXiv · 1304.7621

Zeros of densities and decomposition problem for multidimensional entire characteristic functions of order 2

Monika Maj·Zbigniew Pasternak-Winiarski

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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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Monika Maj, Zbigniew Pasternak-Winiarski. 2013-04-29. Zeros of densities and decomposition problem for multidimensional entire characteristic functions of order 2. https://arxiv.org/abs/1304.7621

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