Homogeneous approximation property for wavelet frames with matrix dilations. II. (Q1942660)

The authors' study is the homogeneous approximation property, which states that the number of building blocks in a reconstruction of a function up to some error is essentially invariant under time-scale shifts and give conditions on a wavelet function, both in terms of its Fourier transform and the values of the wavelet itself, so that the corresponding wavelet frame with an arbitrary expansive dilation matrix has the homogeneous approximation property. For Part I see [\textit{W. Sun}, Math. Nachr. 283, No. 10, 1488--1505 (2010; Zbl 1201.42027)].