Balian-Low type theorems in finite dimensions

被引：2

作者：

Nitzan, Shahaf ^{[1
]}

Olsen, Jan-Fredrik ^{[2
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[2] Lund Univ, Ctr Math Sci, POB 118, S-22100 Lund, Sweden

来源：

MATHEMATISCHE ANNALEN | 2019年 / 373卷 / 1-2期

关键词：

42C15; 42A38; 39A12;

D O I：

10.1007/s00208-018-1719-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We formulate and prove finite dimensional analogs for the classical Balian-Low theorem, and for a quantitative Balian-Low type theorem that, in the case of the real line, we obtained in a previous work. Moreover, we show that these results imply their counter-parts on the real line.

引用

页码：643 / 677

页数：35

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