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

Author(s): Bin Han; Qun Mo
Journal: Proc. Amer. Math. Soc. 132 (2004), 77-86.
MSC (2000): Primary 42C40, 41A15, 41A25
Posted: July 28, 2003
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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 $m$.

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Additional Information:

Bin Han
Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Email: bhan@math.ualberta.ca

Qun Mo
Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
Email: mo@math.ualberta.ca

DOI: 10.1090/S0002-9939-03-07205-8
PII: S 0002-9939(03)07205-8
Keywords: Symmetric tight wavelet frames, $B$-spline functions, vanishing moments
Received by editor(s): April 9, 2002
Posted: July 28, 2003
Additional Notes: Research was supported in part by NSERC Canada under Grant G121210654 and by Alberta Innovation and Science REE under Grant G227120136
Communicated by: David R. Larson
Copyright of article: Copyright 2003, American Mathematical Society

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