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Tight wavelet frames generated by three symmetric -spline functions with high vanishing moments
Authors:Bin Han  Qun Mo
Institution:Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1 ; Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Abstract:In this note, we show that one can derive from any $B$-spline function of order $m$ ( $m\in \mathbb N$) an MRA tight wavelet frame in $L_2(\mathbb R)$ that is generated by the dyadic dilates and integer shifts of three compactly supported real-valued symmetric wavelet functions with vanishing moments of the highest possible order $m$.

Keywords:Symmetric tight wavelet frames  $B$-spline functions  vanishing moments
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