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Density of Gabor Systems Via the Short Time Fourier Transform

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arxiv 1707.01084 v2 pith:7HBBRTXD submitted 2017-07-04 math.CA

Andrew Ahn , William Clark , Shahaf Nitzan , Joseph Sullivan This is my paper · ORCID
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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 of 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 A. Olevskii and the third author in their study of exponential systems, here we develop and simplify it further.

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