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Balian–Low type theorems in finite dimensions

Nitzan, Shahaf and Olsen, Jan Fredrik LU (2018) In Mathematische Annalen
Abstract

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.

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author
organization
publishing date
type
Contribution to journal
publication status
in press
subject
in
Mathematische Annalen
publisher
Springer
external identifiers
  • scopus:85052096981
ISSN
0025-5831
DOI
10.1007/s00208-018-1719-3
language
English
LU publication?
yes
id
543e03c8-edb3-4566-9734-ef76125dd1b5
date added to LUP
2018-10-04 14:27:26
date last changed
2019-02-20 11:28:46
@article{543e03c8-edb3-4566-9734-ef76125dd1b5,
  abstract     = {<p>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.</p>},
  author       = {Nitzan, Shahaf and Olsen, Jan Fredrik},
  issn         = {0025-5831},
  language     = {eng},
  month        = {07},
  publisher    = {Springer},
  series       = {Mathematische Annalen},
  title        = {Balian–Low type theorems in finite dimensions},
  url          = {http://dx.doi.org/10.1007/s00208-018-1719-3},
  year         = {2018},
}