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

Abstract

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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References in corpus (3)

• A new transform for solving the noisy complex exponentials approximation problem
• On the condensed density of the generalized eigenvalues of pencils of Hankel Gaussian random matrices and applications
• Computational aspects and applications of a new transform for solving the complex exponentials approximation problem