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Title: Zeros of random functions generated with de Branges kernels
Author: Antezana, Jorge
Marzo Sánchez, Jordi
Olsen, Jan-Frederik
Keywords: Anàlisi funcional
Functional analysis
Issue Date: 7-Jun-2016
Publisher: Duke University Press
Abstract: We study the point process given by the set of real zeros of random series generated with orthonormal bases of reproducing kernels of de Branges spaces. We find an explicit formula for the intensity function in terms of the phase of the Hermite-Biehler func- tion generating the de Branges space. We prove that the intensity of the point process completely characterizes the underlying de Branges space.
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It is part of: International Mathematics Research Notices, 2016
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ISSN: 1073-7928
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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