Wavelets in Littlewood–paley Space, and Mexican Hat Completeness
نویسندگان
چکیده
We resolve a long-standing question on completeness of the nonorthogonal Mexican hat wavelet system, in L for 1 < p < 2 and in the Hardy space H for 2/3 < p ≤ 1. Tools include the discrete Calderón condition, a generalization of the Daubechies frame criterion to a weighted L space, and imbeddings of that weighted space into L and Hardy spaces.
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