Sampling almost-periodic functions with random probes of finite density

被引：3
作者：
Collet, P
机构：
[1] Centre de Physique Théorique, Laboratoire CNRS UPR 14, Ecole Polytechnique
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1996年 / 452卷 / 1953期
关键词：
D O I：
10.1098/rspa.1996.0121
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We consider the problem of reconstructing a function given its values on a set of points with finite density. We prove that with probability one, the values of an almost-periodic function on a random array of points (with finite density) completely determine the function. We also give some properties of the associated Blaschke product.
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页码：2263 / 2277
页数：15
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