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Gap probabilities for the cardinal sine

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Author

Summary, in English

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.

Publishing year

2012

Language

English

Pages

466-472

Publication/Series

Journal of Mathematical Analysis and Applications

Volume

396

Issue

2

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • Gaussian analytic functions
  • Paley-Wiener
  • Gap probabilities

Status

Published

ISBN/ISSN/Other

  • ISSN: 0022-247X