A Quantitative Balian-Low Theorem for Higher Dimensions
| dc.contributor.author | Temur, Faruk | |
| dc.coverage.doi | 10.1515/gmj-2018-0046 | |
| dc.date.accessioned | 2020-07-18T03:35:19Z | |
| dc.date.available | 2020-07-18T03:35:19Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | We extend the quantitative Balian-Low theorem of Nitzan and Olsen to higher dimensions. We use Zak transform methods and dimension reduction. The characterization of the Gabor-Riesz bases by the Zak transform allows us to reduce the problem to the quasiperiodicity and the boundedness from below of the Zak transforms of the Gabor-Riesz basis generators, two properties for which dimension reduction is possible. © 2018 Walter de Gruyter GmbH, Berlin/Boston 2018. | en_US |
| dc.identifier.doi | 10.1515/gmj-2018-0046 | |
| dc.identifier.issn | 1072-947X | |
| dc.identifier.issn | 1572-9176 | |
| dc.identifier.scopus | 2-s2.0-85049732544 | |
| dc.identifier.uri | https://doi.org/10.1515/gmj-2018-0046 | |
| dc.identifier.uri | https://hdl.handle.net/11147/7879 | |
| dc.language.iso | en | en_US |
| dc.publisher | De Gruyter | en_US |
| dc.relation.ispartof | Georgian Mathematical Journal | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Balian-Low theorem | en_US |
| dc.subject | Uncertainty principle | en_US |
| dc.title | A Quantitative Balian-Low Theorem for Higher Dimensions | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Temur, Faruk | |
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| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 477 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 469 | |
| gdc.description.volume | 27 | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W2336257322 | |
| gdc.identifier.wos | WOS:000565809500016 | |
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| gdc.oaire.keywords | Mathematics - Classical Analysis and ODEs | |
| gdc.oaire.keywords | Uncertainty principle | |
| gdc.oaire.keywords | Classical Analysis and ODEs (math.CA) | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Balian-Low theorem | |
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