References
- de Boor , C. and DeVore , R. 1994 . The structure of shift invariant spaces and applications to approximation theory . J. Functional Analysis , 119 : 37 – 78 .
- Cohen A. DeVore R. Kerkyacharian G. Picard D. Maximal spaces with given rate of convergence for thresholding algorithms preprint
- Daubechies , A. 1998 . Orthonormal bases of compactly supported wavelets . Comm. Pure Appl. Math , 41 : 909 – 996 .
- Daubechies , I. 1992 . Ten Lectures on Wavelets . CBMS-NSF Series in Applied Mathematics, SIAM ,
- DeVore , R. and Petrushev , P. 1995 . Nonlinear approximation by trigonometric sums . J. of Fourier Analysis and Applications , 1 : 29 – 48 .
- Gurarie , D. and Kon , M. A. 1984 . Radial bounds for perturbations of elliptic operators . J. Functional Analysis , 56 : 99 – 123 .
- Gurarie , D. and Kon , M.A. 1983 . “ Resolvents and regularity properties of elliptic operators ” . In Operator Theory Advances and Applications , Edited by: Apostol , C. Birkhauser,Verlag .
- Hernandez , E. and Weiss , G. 1996 . First Course in Wavelets , CRC Press .
- Kelly , S. , Kon , M. and Raphael , L. 1994 . Local convergence of wavelet expansions . J. Functional Analysis , 126 : 102 – 138 .
- Kelly , S. and Kon , M. 1994 . Pointwise convergence of wavelet expansions . Bull. Ainer. Math. Soc , 30 : 87 – 94 .
- Kon , M. and Raphael , L. “ Convergence rates of multiresolution and wavelet expansions to appear ” . In Wavelet Transforms and Time-Frequency Signal Analysis , Edited by: Raphael , L. Birkauser : Ch. 2. CBMS Conference Proceedings .
- Kon , M. 1998 . “ Characterizing convergence rates for multiresolution approximations ” . In In: J. Zeevi and R. Coifrnan , Edited by: Coifman , R. 415 – 437 . Signal and Image Representation in Combined Spaces .
- Mallat , S. 1989 . Multiresolution approximation and wavelets . Trans. Am. Math.Soc , 315 : 69 – 88 .
- Meyer , Yves . 1990 . Ondelettes , Vol. 1 , Paris : Hermann .
- Singer , I. 1974 . 1974). The Theory of Best Approximation in Functional Analysis . CBMS Conferences in Applied Mathematics. SIAM , 13
- Strang , G. and Fix , G. 1973 . 1973). A Fourier analysis of the finite element variational method . In: Constructive Aspects of Functional Anaysis ,
- Walter , G. 1992 . Approximation of the delta function by wavelets . J. Approximation Theory , 1 : 329 – 343 .
- Wojtaszczy , P. 1997 . A Mathematical Introduction to Wavelet , Cambridge : Cambridge University Press .