How smooth is the smoothest function in a given refinable space?

Applied and Computational Harmonic Analysis

Volumn 3, Issue 1, 1996, Pages 87-89

  Cohen, Albert ^a   Daubechies, Ingrid ^b   Ron, Amos ^c  

^a UNIVERSITÉ PARIS DAUPHINE   (France)

^b PRINCETON UNIVERSITY   (United States)

^c University of Wisconsin Madison   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002894106     PISSN: 10635203     EISSN: None     Source Type: Journal    
DOI: 10.1006/acha.1996.0008     Document Type: Editorial

References (9)

1. d ), Trans. Amer. Math. Soc. 341 (1994), 787-806.
2. C. de Boor, K. Höllig, and S. D. Riemenschneider, "Box Splines," Springer-Verlag, Berlin/New York, 1992.
3. A. Cohen and J. P. Conze, Régularité des bases d'ondelettes et mesures ergodiques, Rev. Mat. Iberoamericana 8 (1992), 351-366.
4. A. S. Cavaretta, W. Dahmen, and C. A. Micchelli, "Stationary Subdivision," Memoirs of the American Mathematical Society, Vol. 453, Providence, RI, 1991.
5. I. Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math. 41 (1988), 909-996.
6. I. Daubechies, "Ten lectures on wavelets," CBMS Conference Series in Applied Mathematics, Vol. 61, SIAM, Philadelphia, 1992.
7. Y. Meyer, "Ondelettes et Opérateurs I: Ondelettes", Hermann, Paris, 1990.
8. A. Ron, Smooth functions in and approximation orders of refinable spaces, manuscript 1995.
9. H. Volkmer, On the regularity of wavelets, IEEE Trans. Inf. Th. 38 (1992), 872-876.