[Authors] V. N. Malozemov and O. V. Prosekov [Title] Parametric factorization of Fourier matrix [AMS Subj-class] 65T50 Discrete and fast Fourier transforms 15A23 Factorization of matrices [Abstract] Fast Fourier transform is based on a factorization of Fourier matrix into a product of sparse matrices with a special structure, including permutation matrices, diagonal rotation matrices, and Fourier matrices of small orders. In this paper, a general case of mixed base and an arbitrary vector of parameters is considered. A very deep parametric factorization of Fourier matrix is obtained. Incidentally, factorizations of matrices of parametric permutations are shown. [Comments] Russian, LaTeX, 10 pp. [Contact e-mail] malv@math.spbu.ru sc2@pisem.net