Balian–Low type theorems in finite dimensions
(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.
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/543e03c8-edb3-4566-9734-ef76125dd1b5
- author
- Nitzan, Shahaf and Olsen, Jan Fredrik LU
- organization
- publishing date
- 2018-07-31
- 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}, }