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https://hdl.handle.net/11147/7879
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Temur, Faruk | - |
dc.date.accessioned | 2020-07-18T03:35:19Z | - |
dc.date.available | 2020-07-18T03:35:19Z | - |
dc.date.issued | 2020-09 | - |
dc.identifier.issn | 1072-947X | - |
dc.identifier.uri | https://doi.org/10.1515/gmj-2018-0046 | - |
dc.identifier.uri | https://hdl.handle.net/11147/7879 | - |
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.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 |
dc.institutionauthor | Temur, Faruk | - |
dc.department | İzmir Institute of Technology. Mathematics | en_US |
dc.identifier.wos | WOS:000565809500016 | en_US |
dc.identifier.scopus | 2-s2.0-85049732544 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.doi | 10.1515/gmj-2018-0046 | - |
dc.relation.doi | 10.1515/gmj-2018-0046 | en_US |
dc.coverage.doi | 10.1515/gmj-2018-0046 | en_US |
dc.identifier.wosquality | Q3 | - |
dc.identifier.scopusquality | Q2 | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
item.fulltext | With Fulltext | - |
item.openairetype | Article | - |
item.languageiso639-1 | en | - |
crisitem.author.dept | 04.02. Department of Mathematics | - |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Files in This Item:
File | Size | Format | |
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temur2018.pdf | 597.72 kB | Adobe PDF | View/Open |
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