Density of Gabor Systems Via the Short Time Fourier Transform
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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.
Date issued
2017-03Department
Massachusetts Institute of Technology. Department of Brain and Cognitive SciencesJournal
Journal of Fourier Analysis and Applications
Publisher
Springer US
Citation
Ahn, Andrew, et al. “Density of Gabor Systems Via the Short Time Fourier Transform.” Journal of Fourier Analysis and Applications, vol. 24, no. 3, June 2018, pp. 699–718.
Version: Author's final manuscript
ISSN
1069-5869
1531-5851