Zeros of random functions generated with de branges kernels
(2017) In International Mathematics Research Notices 2017(8). p.2284-2299- 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.
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https://lup.lub.lu.se/record/e2e4ef2f-8ff1-41fe-b7aa-7587771a6df2
- author
- Antezana, Jorge ; Marzo, Jordi and Olsen, Jan Fredrik LU
- organization
- publishing date
- 2017-04-01
- type
- Contribution to journal
- publication status
- published
- subject
- in
- International Mathematics Research Notices
- volume
- 2017
- issue
- 8
- pages
- 16 pages
- publisher
- Oxford University Press
- external identifiers
-
- scopus:85024474492
- wos:000404042200002
- ISSN
- 1073-7928
- DOI
- 10.1093/imrn/rnw078
- language
- English
- LU publication?
- yes
- id
- e2e4ef2f-8ff1-41fe-b7aa-7587771a6df2
- date added to LUP
- 2017-07-31 13:02:57
- date last changed
- 2024-01-14 01:45:51
@article{e2e4ef2f-8ff1-41fe-b7aa-7587771a6df2,
abstract = {{<p>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.</p>}},
author = {{Antezana, Jorge and Marzo, Jordi and Olsen, Jan Fredrik}},
issn = {{1073-7928}},
language = {{eng}},
month = {{04}},
number = {{8}},
pages = {{2284--2299}},
publisher = {{Oxford University Press}},
series = {{International Mathematics Research Notices}},
title = {{Zeros of random functions generated with de branges kernels}},
url = {{http://dx.doi.org/10.1093/imrn/rnw078}},
doi = {{10.1093/imrn/rnw078}},
volume = {{2017}},
year = {{2017}},
}