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dc.contributor.author
Antezana, Jorge Abel  
dc.contributor.author
Marzo, Jordi  
dc.contributor.author
Olsen, Jan-Fredrik  
dc.date.available
2017-07-12T15:15:42Z  
dc.date.issued
2017-04  
dc.identifier.citation
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  
dc.identifier.issn
1073-7928  
dc.identifier.uri
http://hdl.handle.net/11336/20214  
dc.description.abstract
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.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Oxford University Press  
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
De Branges Spaces  
dc.subject
First Intensity Function  
dc.subject
Kac-Rice Formula  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Zeros of Random Functions Generated with de Branges Kernels  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2017-07-12T13:19:26Z  
dc.journal.volume
2017  
dc.journal.number
8  
dc.journal.pagination
2284-2299  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
Oxford  
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: Marzo, Jordi. Universidad de Barcelona; España  
dc.description.fil
Fil: Olsen, Jan-Fredrik. Lund University; Suecia  
dc.journal.title
International Mathematics Research Notices  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/imrn/article-abstract/2017/8/2284/3060657/Zeros-of-Random-Functions-Generated-with-de  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1093/imrn/rnw078