M-CHANNEL MRA AND APPLICATION TO ANISOTROPIC SOBOLEV SPACES
Elena Cordero · International Journal of Wavelets Multiresolution and Information Processing · 2005
In this paper we construct compactly supported biorthogonal wavelet bases of the interval, with dilation factor M. Next, the natural MRA on the cube arising from the tensor product of a multilevel decomposition of the unit interval is developed. New Jackson and Bernstein type inequalities are proved, providing a characterization for anisotropic Sobolev spaces.