Some equations relating multiwavelets and multiscaling functions
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🧮 math.FA
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constructionequationsframefunctionsmultiscalingmultiwaveletsnormalizedtight
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The local trace function introduced in \cite{Dut} is used to derive equations that relate multiwavelets and multiscaling functions in the context of a generalized multiresolution analysis, without appealing to filters. A construction of normalized tight frame wavelets is given. Particular instances of the construction include normalized tight frame and orthonormal wavelet sets.
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