SOME NOTES FOR SPLINE WAVELETS ON INTERVAL

Zhi-Tao Zhuang (P. R. China)

Received May 14, 2009

References:

[1] K. Bittner, A new view on biorthogonal spline wavelets, Preprint, Universität Ulm, 2005. [2] K. Bittner, Biorthogonal spline wavelets on the interval, Wavelets and Splines, Athens 2005, Guanrong Chen and Ming Jun Lai, eds., pp. 93-104, Nashboro Press, Brentwood, TN, 2006. [3] Charles K. Chui and Ewald Quak, Wavelets on a bounded interval, Numerical Methods in Approximation Theory, Vol. 9, volume 105 of Internat. Ser. Numer. Math., pp. 53-75, Birkhäuser, Basel, 1992. [4] Albert Cohen, Ingrid Daubechies and J. C. Feauvea, Biorthogonal bases of compactly supported wavelets, Comm. Pure Appl. Math. 45(5) (1992), 485-560. [5] Albert Cohen, Ingrid Daubechies and Pierre Vial, Wavelets on the interval and fast wavelet transforms, Appl. Comput. Harmon. Anal. 1(1) (1993), 54-81. [6] Wolfgang Dahmen, Angela Kunoth and Karsten Urban, Biorthogonal spline wavelets on the interval-stability and moment conditions, Appl. Comput. Harmon. Anal. 6(2) (1999), 132-196. [7] Yves Meyer, Ondelettes sur l’intervalle, Rev. Mat. Iberoamericana 7(2) (1991), 115 133.

Keywords and phrases: knots, smoothness, stability, spline wavelets.