Zeros of random functions generated with de Branges kernels

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dc.contributor	Universitat de Barcelona
dc.contributor.author	Antezana, Jorge
dc.contributor.author	Marzo Sánchez, Jordi
dc.contributor.author	Olsen, Jan-Frederik
dc.date	2017-03-14T11:48:22Z
dc.date	2017-03-14T11:48:22Z
dc.date	2016-06-07
dc.date	2017-03-14T11:48:22Z
dc.identifier.citation	1073-7928
dc.identifier.citation	669580
dc.identifier.uri	http://hdl.handle.net/2445/108405
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	Duke University Press
dc.relation	Reproducció del document publicat a: https://doi.org/10.1093/imrn/rnw078
dc.relation	International Mathematics Research Notices, 2016
dc.relation	https://doi.org/10.1093/imrn/rnw078
dc.rights	(c) Duke University Press, 2016
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Anàlisi funcional
dc.subject	Functional analysis
dc.title	Zeros of random functions generated with de Branges kernels
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
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.

Antezana, Jorge; Buckley, Jeremiah; Marzo Sánchez, Jordi; Olsen, Jan-Fredrik

Antezana, Jorge; Buckley, Jeremiah; Marzo Sánchez, Jordi; Olsen, Jan-Fredrik; Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica

Agora, Elona; Antezana, Jorge; Carro Rossell, María Jesús; Soria de Diego, F. Javier

Marzo Sánchez, Jordi; Ortega Cerdà, Joaquim

Marzo Sánchez, Jordi; Ortega Cerdà, Joaquim

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