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dc.contributor.author
Antezana, Jorge Abel  
dc.contributor.author
Buckley, Jeremiah  
dc.contributor.author
Marzo, Jorge  
dc.contributor.author
Olsen, Jan-Fredrik  
dc.date.available
2017-06-26T20:38:45Z  
dc.date.issued
2012-06-29  
dc.identifier.citation
Antezana, Jorge Abel; Buckley, Jeremiah; Marzo, Jorge; Olsen, Jan-Fredrik; Gap probabilities for the cardinal sine; Elsevier; Journal Of Mathematical Analysis And Applications; 396; 2; 29-6-2012; 466-472  
dc.identifier.issn
0022-247X  
dc.identifier.uri
http://hdl.handle.net/11336/18926  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Gaussian Analytic Functions  
dc.subject
Paley Wiener  
dc.subject
Gap Probabilities  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Gap probabilities for the cardinal sine  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-06-26T19:50:57Z  
dc.journal.volume
396  
dc.journal.number
2  
dc.journal.pagination
466-472  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
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  
dc.description.fil
Fil: Buckley, Jeremiah. Universidad de Barcelona; España  
dc.description.fil
Fil: Marzo, Jorge. Universidad de Barcelona; España  
dc.description.fil
Fil: Olsen, Jan-Fredrik. Lund University; Suecia  
dc.journal.title
Journal Of Mathematical Analysis And Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022247X12005112  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2012.06.022  

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