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Zeros of random functions generated with de branges kernels

Antezana, Jorge; Marzo, Jordi and Olsen, Jan Fredrik LU (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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author
organization
publishing date
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
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
2017-07-31 13:02:57
@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},
  volume       = {2017},
  year         = {2017},
}