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We study tight wavelet frame systems in L p (R d), and prove that such systems (under mild hypotheses) give atomic decompositions of L p (R d) for 1 < p < '. We also characterize L p (R d) and Sobolev space norms by the analysis coefficients for the frame. We consider Jackson inequalities for best m-term approximation with the systems in L p (R d) and prove(More)
We consider best m-term approximation in Lp(R d) with wave packets generated from a single refinable function. The main examples of such wave packets are orthonormal wavelets or more generally tight wavelet frames based on an MRA (so-called framelets). The approximation classes associated with best m-term approximation in Lp(R d) with such wave packets are(More)
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