Balian–Low type theorems in finite dimensions
(2019) In Mathematische Annalen 373(1-2). p.643-677- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/543e03c8-edb3-4566-9734-ef76125dd1b5
- author
- Nitzan, Shahaf and Olsen, Jan Fredrik LU
- organization
- publishing date
- 2019
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Mathematische Annalen
- volume
- 373
- issue
- 1-2
- pages
- 643 - 677
- 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
- 2025-04-04 14:14:24
@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}},
number = {{1-2}},
pages = {{643--677}},
publisher = {{Springer}},
series = {{Mathematische Annalen}},
title = {{Balian–Low type theorems in finite dimensions}},
url = {{http://dx.doi.org/10.1007/s00208-018-1719-3}},
doi = {{10.1007/s00208-018-1719-3}},
volume = {{373}},
year = {{2019}},
}