L. Borup, R. Gribonval, and M. Nielsen, Tight wavelet frames in Lebesgue and Sobolev spaces, Journal of Function Spaces and Applications, vol.2, issue.3, pp.227-252, 2004.
DOI : 10.1155/2004/792493
URL : https://hal.archives-ouvertes.fr/inria-00567343

L. Borup, R. Gribonval, and M. Nielsen, Bi-framelet systems with few vanishing moments characterize Besov spaces, Applied and Computational Harmonic Analysis, vol.17, issue.1, pp.3-28, 2004.
DOI : 10.1016/j.acha.2004.01.004
URL : https://hal.archives-ouvertes.fr/inria-00567265

C. K. Chui, W. He, and J. Stöckler, Compactly supported tight and sibling frames with maximum vanishing moments, Applied and Computational Harmonic Analysis, vol.13, issue.3, pp.224-262, 2002.
DOI : 10.1016/S1063-5203(02)00510-9

I. Daubechies, B. Han, A. Ron, and Z. Shen, Framelets: MRA-based constructions of wavelet frames, Applied and Computational Harmonic Analysis, vol.14, issue.1, pp.1-46, 2003.
DOI : 10.1016/S1063-5203(02)00511-0

R. A. Devore, B. Jawerth, and V. Popov, Compression of Wavelet Decompositions, American Journal of Mathematics, vol.114, issue.4, pp.737-785, 1992.
DOI : 10.2307/2374796

R. Gribonval and M. Nielsen, On approximation with spline generated framelets, Constr. Approx, vol.20, issue.2, pp.207-232, 2004.
URL : https://hal.archives-ouvertes.fr/inria-00567338

R. Qing and J. , A Bernstein-type inequality associated with wavelet decomposition, Constr. Approx, vol.9, issue.2-3, pp.299-318, 1993.

A. Ron and Z. Shen, Affine systems inL 2 (??? d ) II: Dual systems, The Journal of Fourier Analysis and Applications, vol.89, issue.5, pp.617-637, 1997.
DOI : 10.1007/BF02648888

R. Gribonval and I. , Campus de Beaulieu F-35042 Rennes cedex, France remi.gribonval@irisa