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|Title:||A quantitative Balian-Low theorem for higher dimensions||Authors:||Temur, Faruk||Keywords:||Balian-Low theorem
|Issue Date:||2018||Publisher:||Walter de Gruyter GmbH||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
|Appears in Collections:||Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection|
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