Q. [. Aldroubi, W. Sun, and . Tang, p-Frames and Shift Invariant Subspaces of L p, -x NONLINEAR APPROXIMATION WITH DICTIONARIES. II. INVERSE ESTIMATES, pp.1-21, 2001.
DOI : 10.1007/s00041-001-0001-2

P. Auscher, G. Weiss, and M. V. Wickerhauser, Wavelets, chapter Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets, pp.237-256, 1992.

C. Bennett and R. Sharpley, Interpolation of operators, 1988.

A. R. Calderbank, P. J. Cameron, W. M. Kantor, J. J. Seidel, S. Chen et al., Z 4 -Kerdock codes, orthogonal spreads, and extremal Euclidean line-sets Atomic decomposition by basis pursuit, Proc. London Math. Soc. SIAM Journal on Scientific Computing, vol.75, issue.201, pp.436-48033, 1997.
DOI : 10.1112/s0024611597000403
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.74.2528

O. Christensende03, ]. D. Donoho, and M. Elad, An introduction to frames and Riesz bases Uncertainty principles and ideal atomic decompositions Optimally sparse representation in general (nonorthogonal ) dictionaries via l 1 minimization, Proc. Natl. Acad. Sci. USA, pp.2845-28622197, 2001.

I. Daubechies, B. Han, A. Ron, Z. Shendkkt01, ]. S. Dilworth et al., The thresholding greedy algorithm, greedy bases, and duality Constructive approximation Some remarks on greedy algorithms Walsh series and transforms. Theory and applications, Translated from the 1987 Russian original by Some remarks on nonlinear approximation with Schauder bases, Sparse representations in unions of bases, pp.173-187267, 1991.

R. Gribonval, M. Nielsengn04c-]-r, M. Gribonval, . Nielsengs00-]-k, S. Gröchenig et al., On approximation with spline generated framelets [Grö00] Karlheinz Gröchenig. Foundations of Time-Frequency Analysis (Applied Numerical and Harmonic Analysis) Birkhauser Nonlinear approximation with local Fourier bases Localized frames are finite unions of Riesz sequences Localization of frames, Banach frames, and the invertibility of the frame operator, J. Fourier Anal. Appl. Constr . Approx. Constr . Approx. Adv. Comput. Math. J. Fourier Anal. Appl, vol.10, issue.102, pp.433-437207, 2000.

P. Pencho, S. Petrushev, A. Sardy, P. Bruce, . Tsengsh02-]-t et al., Block coordinate relaxation methods for nonparametric wavelet denoising This is the author version of an article published in a Springer journal. The original publication is available at springerlink.com with DOI: 10.1007/s00365-005-0621-x NONLINEAR APPROXIMATION WITH DICTIONARIES Grassmannian frames with applications to coding and communications On absolute convergence of orthogonal series, Function spaces and applications Preprint, submitted to Appl.Comp.Harm.Anal. [Ste55] S. B. StechkinTem99] V.N. Temlyakov. Universal bases and greedy algorithmsTem00] V.N. Temlyakov. Greedy algorithms with regard to multivariate systems with special structure. Constr. Approx, pp.363-37737, 1955.

H. Triebel and M. V. Wickerhauser, Smooth localized orthonormal bases, Theory of function spacesWoj97] P. Wojtaszczyk. On unconditional polynomial bases in L p and Bergman spaces. Constr. Approx, pp.423-4271, 1983.

I. and C. Beaulieu, 35042 Rennes cedex, France E-mail address: remi.gribonval@inria.fr Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, DK-9220 Aalborg East, Denmark E-mail address: mnielsen@math.aau.dk c This is the author version of an article published in a Springer journal. The original publication is available at springerlink.com with DOI: 10, 2006.