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 moment problems are discussed.

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

Barone;Piero
2013

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 moment problems are discussed.
2013
Istituto Applicazioni del Calcolo ''Mauro Picone''
Random determinants
Complex exponentials
Complex moments problem
Logarithmic potentials
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/252187
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