Refinement type equations: sources and results
Refinement type equations: sources and results
It has been proved recently that the two-direction refinement equation of the form \[ f(x)=\sum_{n\in\mathbb Z}c_{n,1}f(kx-n)+\sum_{n\in\mathbb Z}c_{n,-1}f(-kx-n) \] can be used in wavelet theory for constructing two-direction wavelets, biorthogonal wavel