A -refinable function vector satisfies the refinement equation
where is the multiplicity, the dilation factor, and is the finitely supported sequence of matrices. Such a vector generates a wavelet function vector by
where and are periodic trigonometric polynomials.
The paper under review studies the properties of dual wavelet frames and of wavelet frames generated by refinable function vectors. In particular, algorithms for constructing dual wavelet frames with maximum vanishing moments are given. Moreover, symmetry/antisymmetry properties of wavelets are examined and examples are provided.