In Part I, we present a complete description of dual wavelet
tight frames and by using these results, we construct dual
wavelet bases and dual wavelet tight frames in $L^2(R^n)$.
In Part II, we obtain a criterion for dual wavelet bases which
can be generated by an MRA. In Part III, we find a sufficient
and necessary condition for $T(\Gamma_0,M)$ to be a self-affine
tiling ( a kind of special wavelets) which is convenient to apply.
In the last Part IV, we show some results on shift-invariant space.
- On dual wavelet tight frames
- Some applications of projection operators in wavelets
- A sufficient and necessary condition on $\Gamma_0$ for
$T(\Gamma_0,M)$ to be a self-affine tiling
- Miscellaneous results on shift-invariant subspaces of