On the order of polynomial reproduction for multi-scaling functions

Applied and Computational Harmonic Analysis

Volumn 3, Issue 4, 1996, Pages 358-365

  Lian, Jian Ao ^a  

^a PRAIRIE VIEW A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346207045     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1006/acha.1996.0027     Document Type: Editorial

References (6)

1. C. K. Chui and J.-A. Lian, A study of orthonormal multi-wavelets, J. Appl. Numer. Math., to appear.
2. I. Daubechies and J. Lagarias, Two-scale difference equations. I. Global regularity of solutions, SIAM J. Math. Anal. 22 (1991), 1388-1410.
3. I. Daubechies and J. Lagarias, Two-scale difference equations. II. Local regularity, infinite products of matrices and fractals, SIAM J. Math. Anal. 23 (1992), 1031-1079.
4. C. Heil, G. Strang, and V. Strela, Approximation by translates of refinable functions, Numer. Math., to appear.
5. J.-A. Lian, Characterization of the order of polynomial-reproduction for multi-scaling functions, in "Approximation Theory VIII - Vol. 2: Wavelets and Multilevel Approximation" (C. K. Chui and L. L. Schumaker, Eds.), pp. 251-258, World Scientific, Singapore, 1995.
6. G. Strang and V. Strela, Orthogonal multiwavelets with vanishing moments, J. Optical Eng. 33 (1994), 2104-2107.