Density of Gabor Systems Via the Short Time Fourier Transform
We apply a new approach to the study of the density of Gabor systems, and obtain a simple and straightforward proof to Ramanathan and Steger’s well-known result regarding the density of Gabor frames and Gabor Riesz sequences. Moreover, this point of view allows us to extend this result in several di...
| Hauptverfasser: | , , , |
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| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Springer US
2018
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| Online Zugang: | http://hdl.handle.net/1721.1/116407 https://orcid.org/0000-0001-6413-1411 |
| Zusammenfassung: | We apply a new approach to the study of the density of Gabor systems, and obtain a simple and straightforward proof to Ramanathan and Steger’s well-known result regarding the density of Gabor frames and Gabor Riesz sequences. Moreover, this point of view allows us to extend this result in several directions. The approach we use was first observed by Olevskii and the third author in their study of exponential systems, here we develop and simplify it further. |
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