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2017

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/108405

Zeros of random functions generated with de Branges kernels

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https://doi.org/10.1093/imrn/rnw078

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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Anàlisi funcional

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Functional analysis

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Articles publicats en revistes (Matemàtiques i Informàtica)

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ANTEZANA, Jorge, MARZO SÁNCHEZ, Jordi and OLSEN, Jan-Frederik. Zeros of random functions generated with de Branges kernels. International Mathematics Research Notices. 2017. Vol. 8, num. 2284–2299. ISSN 1073-7928. [consulted: 12 of June of 2026]. Available at: https://hdl.handle.net/2445/108405

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