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.
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
Fil: Marzo, Jordi. Universidad de Barcelona; España
Fil: Olsen, Jan-Fredrik. Lund University; Suecia
Materia
GAUSSIAN ANALYTIC FUNCTIONS
DE BRANGES SPACES
FIRST INTENSITY FUNCTION
KAC-RICE FORMULA
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/20214
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/20214
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Zeros of Random Functions Generated with de Branges KernelsAntezana, Jorge AbelMarzo, JordiOlsen, Jan-FredrikGAUSSIAN ANALYTIC FUNCTIONSDE BRANGES SPACESFIRST INTENSITY FUNCTIONKAC-RICE FORMULAhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We 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.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; ArgentinaFil: Marzo, Jordi. Universidad de Barcelona; EspañaFil: Olsen, Jan-Fredrik. Lund University; SueciaOxford University Press2017-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/20214Antezana, 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; 2284-22991073-7928CONICET DigitalCONICETenginfo: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/doi/10.1093/imrn/rnw078info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:24:45Zoai:ri.conicet.gov.ar:11336/20214instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:24:45.625CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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
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 GAUSSIAN ANALYTIC FUNCTIONS
DE BRANGES SPACES
FIRST INTENSITY FUNCTION
KAC-RICE FORMULA
topic GAUSSIAN ANALYTIC FUNCTIONS
DE BRANGES SPACES
FIRST INTENSITY FUNCTION
KAC-RICE FORMULA
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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.
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
Fil: Marzo, Jordi. Universidad de Barcelona; España
Fil: Olsen, Jan-Fredrik. Lund University; Suecia
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
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://hdl.handle.net/11336/20214
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
1073-7928
CONICET Digital
CONICET
url http://hdl.handle.net/11336/20214
identifier_str_mv 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
1073-7928
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 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/doi/10.1093/imrn/rnw078
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Oxford University Press
publisher.none.fl_str_mv Oxford University Press
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1846781789639540736
score 12.982451

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