[Author] Skopina M. [Title] On construction of multivariate wavelet frames [AMS Subj-class] 42C40 Wavelets [Abstract] Construction of wavelet frames with matrix dilation is studied. We found a necessary condition and a sufficient condition under which a given pair of refinable functions generates dual wavelet systems with a given number of vanishing moments. [Comments] LaTeX, English, 18 pp. [Contact e-mail] skopina@MS1167.spb.edu