[Authors] Nira Dyn and M. Skopina [Title] Decompositions of trigonometric polynomials related to multivariate subdivision schemes [AMS Subj-class] 42C40 Wavelets [Abstract] In this paper we study decompositions of multivariate trigonometric polynomials, satisfying a set of constraints known as Strang-Fix conditions of order $m$, multiplied by a factor of the form $1-exp(q(x))$, with $q(x)$ a multilinear polynomial with integer coefficients. This type of decompositions is of interest in the analysis of convergence and smoothness of multivariate subdivision schemes. [Keywords] subdivision schemes, refinable function, Strang-Fix conditions, polyphase representations [Comments] English, LaTeX, 18 pp. [Contact e-mail] skopina@MS1167.spb.edu