Gap probabilities for the cardinal sine

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 bou...

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Detalles Bibliográficos
Autores principales: Antezana, Jorge Abel, Buckley, Jeremiah, Marzo, Jordi, Olsen, Jan Fredrik
Formato: Articulo
Lenguaje:Inglés
Publicado: 2012
Materias:
Ciencias Exactas
Matemática
Gap probabilities
Gaussian analytic functions
Paley-Wiener
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/84075
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-84075
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Matemática
Gap probabilities
Gaussian analytic functions
Paley-Wiener
spellingShingle Ciencias Exactas
Matemática
Gap probabilities
Gaussian analytic functions
Paley-Wiener
Antezana, Jorge Abel
Buckley, Jeremiah
Marzo, Jordi
Olsen, Jan Fredrik
Gap probabilities for the cardinal sine
topic_facet Ciencias Exactas
Matemática
Gap probabilities
Gaussian analytic functions
Paley-Wiener
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.
format Articulo
Articulo
author Antezana, Jorge Abel
Buckley, Jeremiah
Marzo, Jordi
Olsen, Jan Fredrik
author_facet Antezana, Jorge Abel
Buckley, Jeremiah
Marzo, Jordi
Olsen, Jan Fredrik
author_sort Antezana, Jorge Abel
title Gap probabilities for the cardinal sine
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
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/84075
work_keys_str_mv AT antezanajorgeabel gapprobabilitiesforthecardinalsine
AT buckleyjeremiah gapprobabilitiesforthecardinalsine
AT marzojordi gapprobabilitiesforthecardinalsine
AT olsenjanfredrik gapprobabilitiesforthecardinalsine
bdutipo_str Repositorios
_version_ 1764820488352169985

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