Based on Ron and Shen’s new method for constructing tight wavelet frames [A. Ron
and Z. Shen
, J. Funct. Anal. 148, No. 2, 408-447 (1997; Zbl 0891.42018
)], the authors show how to construct, for any dilation matrix, and any spatial dimension, tight wavelet frames generated by compactly supported functions with arbitrarily high smoothness.