Density of wavelet frames |
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| Institution: | NuHAG, Faculty of Mathematics, University of Vienna, Nordbergstrasse 15, A-1090 Vienna, Austria;Department of Mathematics and LPMC, Nankai University, Tianjin 300071, China |
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| Abstract: | Density conditions for wavelet systems with arbitrary sampling points to be frames are studied. We show that for a wavelet system generated by admissible functions with irregular affine lattices to be a frame, the sampling points must have a positive lower affine Beurling density. The same is true for wavelet systems with arbitrary sampling points and nice generating functions. |
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