INTEGER DECOMPOSITION OF FUNCTIONS IN MULTIDIMENSIONAL MODULAR SPACES
The results of decomposition of the elements of multidimensional spaces 1 < p < oo , on the systems of func tions consisting of contractions and shifts of one function with integer coefficients are obtained. These studies may also be of interest, for specialists in the transmission and processing of digital information, since a simple algorithm is proposed for approximating elements of the spaces £{(0,1 ]<sup>m</sup>}, 1 < p < oo , with the indicated properties.