Tight wavelet frames generated by three symmetric $B$-spline functions with high vanishing moments
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- by Bin Han and Qun Mo PDF
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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 $m$.References
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Additional Information
- Bin Han
- Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
- MR Author ID: 610426
- 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
- Received by editor(s): April 9, 2002
- Published electronically: 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 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 77-86
- MSC (2000): Primary 42C40, 41A15, 41A25
- DOI: https://doi.org/10.1090/S0002-9939-03-07205-8
- MathSciNet review: 2021250