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PERTURBATION OF WAVELET FRAMES AND RIESZ BASES I
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 Title & Authors
PERTURBATION OF WAVELET FRAMES AND RIESZ BASES I
Lee, Jin; Ha, Young-Hwa;
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 Abstract
Suppose that generates a wavelet frame (resp. Riesz basis) with bounds A and B. If satisfies $\^{\psi}(\xi)\;\^{\phi}(\xi){\;}<{\;}{\lambda}\frac{\xi^{\alpha}}{(1+\xi)^{\gamma}}$ for some positive constants such that $1{\;}<1{\;}+{\;}\alpha{\;}<{\;}\gamma{\;}and{\;}{\lambda}^2M{\;}<{\;}A$, then also generates a wavelet frame (resp. Riesz basis) with bounds , where M is a constant depending only on the dilation step a, and the translation step b.
 Keywords
wavelet;frame;Riesz basis;perturbation;stability;
 Language
English
 Cited by
 References
1.
J. Fourier Anal. Appl., 1997. vol.3. pp.499-504 crossref(new window)

2.
Frames and Schauder Bases, 1999. pp.133-139

3.
Technical Univ. of Denmark, 1999.

4.
An Introduction to Wavelets, 1992.

5.
SIAM Conf. Series in App. Math, 1992.

6.
Appl. Comput. Harmon. Anal., 1995. vol.2. pp.160-173 crossref(new window)

7.
An Introduction to Nonharmonic Fourier Series, 1980.