The Balian-Low theorem and noncommutative tori

被引：5

作者：

Luef, Franz ^{[1
]}

机构：

[1] NTNU Trondheim, Dept Math Sci, N-7041 Trondheim, Norway

来源：

EXPOSITIONES MATHEMATICAE | 2018年 / 36卷 / 02期

关键词：

Gabor frames; Noncommutative tori; Gauge connections; C-STAR-ALGEBRAS; SPACE;

D O I：

10.1016/j.exmath.2018.03.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We point out a link between the theorem of Balian and Low on the non-existence of well-localized Gabor-Riesz bases and a constant curvature connection on projective modules over noncommutative tori. (C) 2018 Elsevier GmbH. All rights reserved.

引用

页码：221 / 227

页数：7

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