On a family of filters arising in wavelet construction

Applied and Computational Harmonic Analysis

Volumn 4, Issue 1, 1997, Pages 38-50

  Micchelli, Charles A ^a  

^a IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041603519     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1006/acha.1996.0196     Document Type: Article

References (10)

1. 1(ℝ), preprint, 1995.
2. A. Cohen, I. Daubechies, and J.-C. Feauveau, Biorthogonal bases of compactly supported wavelets, Comm. Pure Appl. Math. 45 (1992), 485-560.
3. I. Daubechies, "Ten Lectures on Wavelets," NSF-CBMS Conference Series, Vol. 61, SIAM, Philadelphia, 1992.
4. T. N. T. Goodman and C. A. Micchelli, "Orthonormal Cardinal Functions in Wavelets: Theory, Algorithms and Applications" (C. K. Chui, L. Montefusco, and L. Puccio, Eds.), pp. 53-88, Academic Press, San Diego, 1994.
5. C. A. Micchelli, "Mathematical Aspects of Geometric Modeling," NSF-CBMS Conference Series, Vol. 65, SIAM, Philadelphia, 1994.
6. C. A. Micchelli, Interpolatory subdivision schemes and wavelets, J. Approx. Theory 86 (1996), 41-71.
7. C. A. Micchelli, Cardinal L splines, in "Studies in Spline Functions and Approximation Theory," (S. Karlin, C. A. Micchelli, A. Pinkus, and I. J. Schoenberg, Eds.), pp. 251-276, Academic Press, New York, 1976.
8. A. Papoulis, "Signal Analysis," McGraw-Hill, New York, 1977.
9. P. Auscher, "Ondelettes fractales et applications," Thése de Doctorat, University Paris Dauphine, 1989.
10. Jianzhong Wang, "Cubic Spline Wavelet Bases of Sobolev Spaces and Multilevel Interpolation," CAT, Report 352, 1995.