Zeros of Random Functions Generated with de Branges Kernels

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 pr...

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Detalles Bibliográficos
Autores principales: Antezana, Jorge Abel, Marzo, Jordi, Olsen, Jan-Fredrik
Formato: Articulo
Lenguaje:Inglés
Publicado: 2017
Materias:
Matemática
Gaussian analytic functions
De Branges spaces
First intensity function
Kac-rice formula
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/102363
https://ri.conicet.gov.ar/11336/20214
https://academic.oup.com/imrn/article-abstract/2017/8/2284/3060657/Zeros-of-Random-Functions-Generated-with-de
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-102363
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Gaussian analytic functions
De Branges spaces
First intensity function
Kac-rice formula
spellingShingle Matemática
Gaussian analytic functions
De Branges spaces
First intensity function
Kac-rice formula
Antezana, Jorge Abel
Marzo, Jordi
Olsen, Jan-Fredrik
Zeros of Random Functions Generated with de Branges Kernels
topic_facet Matemática
Gaussian analytic functions
De Branges spaces
First intensity function
Kac-rice formula
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.
format Articulo
Articulo
author Antezana, Jorge Abel
Marzo, Jordi
Olsen, Jan-Fredrik
author_facet Antezana, Jorge Abel
Marzo, Jordi
Olsen, Jan-Fredrik
author_sort Antezana, Jorge Abel
title Zeros of Random Functions Generated with de Branges Kernels
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
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/102363
https://ri.conicet.gov.ar/11336/20214
https://academic.oup.com/imrn/article-abstract/2017/8/2284/3060657/Zeros-of-Random-Functions-Generated-with-de
work_keys_str_mv AT antezanajorgeabel zerosofrandomfunctionsgeneratedwithdebrangeskernels
AT marzojordi zerosofrandomfunctionsgeneratedwithdebrangeskernels
AT olsenjanfredrik zerosofrandomfunctionsgeneratedwithdebrangeskernels
bdutipo_str Repositorios
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