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Abstract: this paper, let's discuss it in full detail. Following [6], we denote L 00 (R) := ff 2L 2 (R) : b f 2 L1 (R) and b f() = 0 for all 62 f : 1=c 6 jj 6 cg for some constant c > 1g: (2.5) By Plancherel's theorem and the polarization identity, for any f; g 2 L 00 (R), we have h c Sf ; bgi = 2hSf; gi = 2 j;k ; gi = 1 h b f ; d j;k ih d j;k ; b gi = 1 b f() c = 1 = 1 ( + 2m)) ... (Update)
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BibTeX entry: (Update)
I. Daubechies and B. Han, The canonical dual frame of a wavelet frame, Appl. Comput. Harmon. Anal., to appear. http://citeseer.ist.psu.edu/daubechies00canonical.html More
@misc{ daubechies-canonical,
author = "I. Daubechies and B. Han",
title = "The canonical dual frame of a wavelet frame",
text = "I. Daubechies and B. Han, The canonical dual frame of a wavelet frame,
Appl. Comput. Harmon. Anal., to appear.",
url = "citeseer.ist.psu.edu/daubechies00canonical.html" }
Citations (may not include all citations):1526 Ten lectures on wavelets (context) - Daubechies - 1992
123 time-frequency localization and signal analysis (context) - Daubechies, transform - 1990
25 On dual wavelet tight frames - Han - 1997
7 Normed Rings (context) - Naimark - 1959
5 Inequalities of Littlewood-Paley type for frames and wavelet.. (context) - Chui, Shi - 1993
5 A class of nonharmonic Fourier series (context) - Dun, Schae - 1952
4 Pairs of Dual wavelet frames from any two re nable functions - Daubechies, Han - 2000
3 Ane systems in L (context) - Ron, Shen - 1997
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Pairs of Dual Wavelet Frames From Any Two Refinable Functions - Daubechies, Han (2000) (Correct)
Hermite Interpolants and Biorthogonal Multiwavelets with Arbitrary.. - Han (1999) (Correct)
Construction of Multivariate Biorthogonal Wavelets by CBC Algorithm - Han (1998) (Correct)
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