Tight wavelet frames generated by three symmetric B-spline functions with high vanishing moments

Bin Han and Qun Mo


In this note, we show that one can derive from any $B$-spline function of order $m$ ($m\in \NN$) an MRA tight wavelet frame in $L_2(\RR)$ which 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 $m$.

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