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math.FA2012★ 22 cited
Linear independence of time-frequency translates of functions with faster than exponential decay
Marcin Bownik, Darrin Speegle
We establish the linear independence of time-frequency translates for functions having one sided decay for all . We also prov…
math.FA2012★ 1 cited
Oversampling of wavelet frames for real dilations
Marcin Bownik, Jakob Lemvig
We generalize the Second Oversampling Theorem for wavelet frames and dual wavelet frames from the setting of integer dilations to real dilations. We also study the relationship bet…