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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/102363
Ver los metadatos del registro completo
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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:UNLP2025-09-29T11:21:05Zoai: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:13292025-09-29 11:21:05.681SEDICI (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 |
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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 |
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