[Author] O. V. Prosekov [Title] Parametric version of multidimensional fast Fourier transform [AMS Subj-class] 65T50 Discrete and fast Fourier transforms 15A23 Factorization of matrices [Abstract] Fast Fourier transform plays an important role in discrete periodic signals processing, especially in case of multiple dimensions. Starting with multidimensional discrete transform, one can pass to Kronecker product of transform matrices in each dimension. Every one of these matrices can be parametrically factorized. This paper considers a general case of an arbitrary matrix of parameters. The results obtained here can be applied to the prime factors method. [Comments] LaTeX, 8 pp., Russian [Contact e-mail] sc2@pisem.net