ON THE CORRESPONDENCE BETWEEN REPRESENTATIONS IN THE PSEUDOCONTINUUM THEORY.

A set of transformation formulae between the discrete N-, continuous X- and Fourier K-representations of the admissible functions of one and two arguments in the pseudocontinuum theory is given. These relations are derived in a certain deduction system which is based on some explicitly formulated conventions (playing the role of axioms) and on proved corollaries. The representation of differentiation operation in the pseudocontinuum theory as well as of equations of motion for the homogeneous medium are discussed.