Stability and Linear Independence Associated with Wavelet Decompositions
نویسندگان
چکیده
Wavelet decompositions are based on basis functions satisfying refinement equations. The stability, linear independence and orthogonality of the integer translates of basis functions play an essential role in the study of wavelets. In this paper we characterize these properties in terms of the mask sequence in the refinement equation satisfied by the basis function. AMS Subject Classifications: 42 C 05, 41 A 30
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