Zeros of random functions generated with de Branges kernels

dc.contributor.author	Antezana, Jorge
dc.contributor.author	Marzo Sánchez, Jordi
dc.contributor.author	Olsen, Jan-Frederik
dc.date.accessioned	2017-03-14T11:48:22Z
dc.date.available	2017-03-14T11:48:22Z
dc.date.issued	2017
dc.date.updated	2017-03-14T11:48:22Z
dc.description.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.
dc.format.mimetype	application/pdf
dc.identifier.idgrec	669580
dc.identifier.issn	1073-7928
dc.identifier.uri	https://hdl.handle.net/2445/108405
dc.language.iso	eng
dc.publisher	Duke University Press
dc.relation.isformatof	Reproducció del document publicat a: https://doi.org/10.1093/imrn/rnw078
dc.relation.ispartof	International Mathematics Research Notices, 2017, vol. 8, p. 2284–2299
dc.relation.uri	https://doi.org/10.1093/imrn/rnw078
dc.rights	(c) Duke University Press, 2017
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.source	Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classification	Anàlisi funcional
dc.subject.other	Functional analysis
dc.title	Zeros of random functions generated with de Branges kernels	eng
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion

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