Title of article
Gap probabilities for the cardinal sine
Author/Authors
Antezana، نويسنده , , Jorge and Buckley، نويسنده , , Jeremiah and Marzo، نويسنده , , Jordi and Olsen، نويسنده , , Jan-Fredrik، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2012
Pages
7
From page
466
To page
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.
Keywords
Paley–Wiener , Gaussian analytic functions , Gap probabilities
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2012
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563085
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