Tight wavelet frames in Lebesgue and Sobolev spaces

We study tight wavelet frame systems in Lp(ℝd) and prove that such systems (under mild hypotheses) give atomic decompositions of Lp(ℝd) for 1≺p≺∞. We also characterize Lp(ℝd) and Sobolev space norms by the analysis coefficients for the frame. We consider Jackson inequalities for best m-term approxim...

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Bibliographic Details
Main Authors: L. Borup, R. Gribonval, M. Nielsen
Format: Article
Language:English
Published: Wiley 2004-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2004/792493
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