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dc.contributor.author
Antezana, Jorge Abel
dc.contributor.author
Marzo, Jordi
dc.contributor.author
Olsen, Jan-Fredrik
dc.date.available
2017-07-12T15:15:42Z
dc.date.issued
2017-04
dc.identifier.citation
Antezana, Jorge Abel; Marzo, Jordi; Olsen, Jan-Fredrik; Zeros of Random Functions Generated with de Branges Kernels; Oxford University Press; International Mathematics Research Notices; 2017; 8; 4-2017; 2284-2299
dc.identifier.issn
1073-7928
dc.identifier.uri
http://hdl.handle.net/11336/20214
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 function generating the de Branges space. We prove that the intensity of the point process completely characterizes the underlying de Branges space.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Oxford University Press
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Gaussian Analytic Functions
dc.subject
De Branges Spaces
dc.subject
First Intensity Function
dc.subject
Kac-Rice Formula
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Zeros of Random Functions Generated with de Branges Kernels
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-07-12T13:19:26Z
dc.journal.volume
2017
dc.journal.number
8
dc.journal.pagination
2284-2299
dc.journal.pais
Reino Unido
dc.journal.ciudad
Oxford
dc.description.fil
Fil: Antezana, Jorge Abel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Saavedra 15. Instituto Argentino de Matemática Alberto Calderon; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina
dc.description.fil
Fil: Marzo, Jordi. Universidad de Barcelona; España
dc.description.fil
Fil: Olsen, Jan-Fredrik. Lund University; Suecia
dc.journal.title
International Mathematics Research Notices
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/article-abstract/2017/8/2284/3060657/Zeros-of-Random-Functions-Generated-with-de
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1093/imrn/rnw078
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