Gap probabilities for the cardinal sine
(2012) In Journal of Mathematical Analysis and Applications 396(2). p.466-472- 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. (C) 2012 Elsevier Inc. All rights reserved.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3567993
- author
- Antezana, Jorge ; Buckley, Jeremiah ; Marzo, Jordi and Olsen, Jan-Fredrik LU
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Gaussian analytic functions, Paley-Wiener, Gap probabilities
- in
- Journal of Mathematical Analysis and Applications
- volume
- 396
- issue
- 2
- pages
- 466 - 472
- publisher
- Elsevier
- external identifiers
-
- wos:000315246900006
- scopus:84865564983
- ISSN
- 0022-247X
- DOI
- 10.1016/j.jmaa.2012.06.022
- language
- English
- LU publication?
- yes
- id
- cd58bf4e-c817-44d5-9560-0fb5971dbb8b (old id 3567993)
- date added to LUP
- 2016-04-01 15:02:03
- date last changed
- 2022-01-28 03:43:12
@article{cd58bf4e-c817-44d5-9560-0fb5971dbb8b, 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. (C) 2012 Elsevier Inc. All rights reserved.}}, author = {{Antezana, Jorge and Buckley, Jeremiah and Marzo, Jordi and Olsen, Jan-Fredrik}}, issn = {{0022-247X}}, keywords = {{Gaussian analytic functions; Paley-Wiener; Gap probabilities}}, language = {{eng}}, number = {{2}}, pages = {{466--472}}, publisher = {{Elsevier}}, series = {{Journal of Mathematical Analysis and Applications}}, title = {{Gap probabilities for the cardinal sine}}, url = {{http://dx.doi.org/10.1016/j.jmaa.2012.06.022}}, doi = {{10.1016/j.jmaa.2012.06.022}}, volume = {{396}}, year = {{2012}}, }