Zeros of Random Functions Generated with de Branges Kernels

Autores
Antezana, Jorge Abel; Marzo, Jordi; Olsen, Jan-Fredrik
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Facultad de Ciencias Exactas
Materia
Matemática
Gaussian analytic functions
De Branges spaces
First intensity function
Kac-rice formula
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/102363
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/102363
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Zeros of Random Functions Generated with de Branges KernelsAntezana, Jorge AbelMarzo, JordiOlsen, Jan-FredrikMatemáticaGaussian analytic functionsDe Branges spacesFirst intensity functionKac-rice formulaWe 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.Facultad de Ciencias Exactas2017-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf2284-2299http://sedici.unlp.edu.ar/handle/10915/102363enginfo:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/20214info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/article-abstract/2017/8/2284/3060657/Zeros-of-Random-Functions-Generated-with-deinfo:eu-repo/semantics/altIdentifier/issn/1073-7928info:eu-repo/semantics/altIdentifier/doi/10.1093/imrn/rnw078info:eu-repo/semantics/altIdentifier/hdl/11336/20214info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:01:55Zoai:sedici.unlp.edu.ar:10915/102363Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:01:55.37SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Zeros of Random Functions Generated with de Branges Kernels
title Zeros of Random Functions Generated with de Branges Kernels
spellingShingle Zeros of Random Functions Generated with de Branges Kernels
Antezana, Jorge Abel
Matemática
Gaussian analytic functions
De Branges spaces
First intensity function
Kac-rice formula
title_short Zeros of Random Functions Generated with de Branges Kernels
title_full Zeros of Random Functions Generated with de Branges Kernels
title_fullStr Zeros of Random Functions Generated with de Branges Kernels
title_full_unstemmed Zeros of Random Functions Generated with de Branges Kernels
title_sort Zeros of Random Functions Generated with de Branges Kernels
dc.creator.none.fl_str_mv Antezana, Jorge Abel
Marzo, Jordi
Olsen, Jan-Fredrik
author Antezana, Jorge Abel
author_facet Antezana, Jorge Abel
Marzo, Jordi
Olsen, Jan-Fredrik
author_role author
author2 Marzo, Jordi
Olsen, Jan-Fredrik
author2_role author
author
dc.subject.none.fl_str_mv Matemática
Gaussian analytic functions
De Branges spaces
First intensity function
Kac-rice formula
topic Matemática
Gaussian analytic functions
De Branges spaces
First intensity function
Kac-rice formula
dc.description.none.fl_txt_mv 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.
Facultad de Ciencias Exactas
description 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.
publishDate 2017
dc.date.none.fl_str_mv 2017-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/102363
url http://sedici.unlp.edu.ar/handle/10915/102363
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://ri.conicet.gov.ar/11336/20214
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/article-abstract/2017/8/2284/3060657/Zeros-of-Random-Functions-Generated-with-de
info:eu-repo/semantics/altIdentifier/issn/1073-7928
info:eu-repo/semantics/altIdentifier/doi/10.1093/imrn/rnw078
info:eu-repo/semantics/altIdentifier/hdl/11336/20214
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
2284-2299
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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