Gap probabilities for the cardinal sine
- Autores
- Antezana, Jorge Abel; Buckley, Jeremiah; Marzo, Jordi; Olsen, Jan Fredrik
- Año de publicación
- 2012
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We study the zero sets of random analytic functions generated by a sum of the cardinal sine functions which form an orthonormal basis for the Paley-Wiener space. As a model case, we consider real-valued Gaussian coefficients. It is shown that the asymptotic probability that there is no zero in a bounded interval decays exponentially as a function of the length.
Facultad de Ciencias Exactas - Materia
-
Ciencias Exactas
Matemática
Gap probabilities
Gaussian analytic functions
Paley-Wiener - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/84075
Ver los metadatos del registro completo
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Gap probabilities for the cardinal sineAntezana, Jorge AbelBuckley, JeremiahMarzo, JordiOlsen, Jan FredrikCiencias ExactasMatemáticaGap probabilitiesGaussian analytic functionsPaley-WienerWe study the zero sets of random analytic functions generated by a sum of the cardinal sine functions which form an orthonormal basis for the Paley-Wiener space. As a model case, we consider real-valued Gaussian coefficients. It is shown that the asymptotic probability that there is no zero in a bounded interval decays exponentially as a function of the length.Facultad de Ciencias Exactas2012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf466-472http://sedici.unlp.edu.ar/handle/10915/84075enginfo:eu-repo/semantics/altIdentifier/issn/0022-247Xinfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jmaa.2012.06.022info: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:UNLP2025-10-22T16:56:51Zoai:sedici.unlp.edu.ar:10915/84075Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 16:56:52.217SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Gap probabilities for the cardinal sine |
| title |
Gap probabilities for the cardinal sine |
| spellingShingle |
Gap probabilities for the cardinal sine Antezana, Jorge Abel Ciencias Exactas Matemática Gap probabilities Gaussian analytic functions Paley-Wiener |
| title_short |
Gap probabilities for the cardinal sine |
| title_full |
Gap probabilities for the cardinal sine |
| title_fullStr |
Gap probabilities for the cardinal sine |
| title_full_unstemmed |
Gap probabilities for the cardinal sine |
| title_sort |
Gap probabilities for the cardinal sine |
| dc.creator.none.fl_str_mv |
Antezana, Jorge Abel Buckley, Jeremiah Marzo, Jordi Olsen, Jan Fredrik |
| author |
Antezana, Jorge Abel |
| author_facet |
Antezana, Jorge Abel Buckley, Jeremiah Marzo, Jordi Olsen, Jan Fredrik |
| author_role |
author |
| author2 |
Buckley, Jeremiah Marzo, Jordi Olsen, Jan Fredrik |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Matemática Gap probabilities Gaussian analytic functions Paley-Wiener |
| topic |
Ciencias Exactas Matemática Gap probabilities Gaussian analytic functions Paley-Wiener |
| dc.description.none.fl_txt_mv |
We study the zero sets of random analytic functions generated by a sum of the cardinal sine functions which form an orthonormal basis for the Paley-Wiener space. As a model case, we consider real-valued Gaussian coefficients. It is shown that the asymptotic probability that there is no zero in a bounded interval decays exponentially as a function of the length. Facultad de Ciencias Exactas |
| description |
We study the zero sets of random analytic functions generated by a sum of the cardinal sine functions which form an orthonormal basis for the Paley-Wiener space. As a model case, we consider real-valued Gaussian coefficients. It is shown that the asymptotic probability that there is no zero in a bounded interval decays exponentially as a function of the length. |
| publishDate |
2012 |
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2012 |
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http://sedici.unlp.edu.ar/handle/10915/84075 |
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eng |
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eng |
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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) |
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