Universal sampling, quasicrystals and bounded remainder sets

被引：4

作者：

Grepstad, Sigrid ^{[1
]}

Lev, Nir ^{[2
]}

机构：

[1] Norwegian Univ Sci & Technol NTNU, Dept Math Sci, NO-7491 Trondheim, Norway

[2] Bar Ilan Univ, Dept Math, IL-52900 Ramat Gan, Israel

来源：

COMPTES RENDUS MATHEMATIQUE | 2014年 / 352卷 / 7-8期

基金：

以色列科学基金会;

关键词：

INTERPOLATION;

D O I：

10.1016/j.crma.2014.05.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We examine the result clue to Matei and Meyer that simple quasicrystals are universal sampling sets, in the critical case when the density of the sampling set is equal to the measure of the spectrum. We show that in this case, an arithmetical condition on the quasicrystal determines whether it is a universal set of "stable and non-redundant" sampling. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：633 / 638

页数：6

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