Crystallographic Multiwavelets in L²(R^d)
classification
🧮 math.CA
keywords
analysisassociatedcrystalfunctionmultiresolutiontermsbasischaracterize
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We characterize the scaling function of a crystal Multiresolution Analysis in terms of the vector-scaling function for a Multiresolution Analysis associated to a lattice. We give necessary and sufficient conditions in terms of the symbol matrix in order that an associated crystal wavelet basis exists.
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