On the condensed density of the zeros of the Cauchy transform of a complex atomic random measure with Gaussian moments

Details On the condensed density of the zeros of the Cauchy transform of a complex atomic random measure with Gaussian moments On the condensed density of the zeros of the Cauchy transform of a complex atomic random measure with Gaussian moments

2012-01-10

arxiv.org/abs/1201.2014v1

Mathematics

Statistics Theory

3 figures

Scientific paper

An atomic random complex measure defined on the unit disk with Normally
distributed moments is considered. An approximation to the distribution of the
zeros of its Cauchy transform is computed. Implications of this result for
solving several moments problems are discussed.

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