Abstract
We obtain irregular sampling theorems for the wavelet transform and the short-time Fourier transform. These sampling theorems yield irregular weighted frames for wavelets and Gabor functions with explicit estimates for the frame bounds.
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Communicated by Ronald A. DeVore.
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Gröchenig, K. Irregular sampling of wavelet and short-time Fourier transforms. Constr. Approx 9, 283–297 (1993). https://doi.org/10.1007/BF01198007
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DOI: https://doi.org/10.1007/BF01198007