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https://hdl.handle.net/11147/7879
Title: | A quantitative Balian-Low theorem for higher dimensions | Authors: | Temur, Faruk | Keywords: | Balian-Low theorem Uncertainty principle |
Publisher: | De Gruyter | 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. | URI: | https://doi.org/10.1515/gmj-2018-0046 https://hdl.handle.net/11147/7879 |
ISSN: | 1072-947X |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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temur2018.pdf | 597.72 kB | Adobe PDF | View/Open |
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