Gap probabilities for the cardinal sine

Antezana, Jorge Abel; Buckley, Jeremiah; Marzo, Jorge; Olsen, Jan-Fredrik

Artículos de revistas

Fecha

2012-06-29

Registro en:

Antezana, Jorge Abel; Buckley, Jeremiah; Marzo, Jorge; Olsen, Jan-Fredrik; Gap probabilities for the cardinal sine; Elsevier; Journal Of Mathematical Analysis And Applications; 396; 2; 29-6-2012; 466-472

0022-247X

http://hdl.handle.net/11336/18926

CONICET Digital

CONICET

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1892537

Autor

Antezana, Jorge Abel

Buckley, Jeremiah

Marzo, Jorge

Olsen, Jan-Fredrik

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

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.

Materias

GAUSSIAN ANALYTIC FUNCTIONS

PALEY WIENER

GAP PROBABILITIES

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