System and signal models induced by time transformations

Unceasing function of several variables in a form of weighted sum of univariate functions, determined on the generalized basis, formed as a linear superposition of arguments of the initial function is suggested. The given approach is adapted to the structure of the optimum filter and is a basis of the theory of spline-filtration, developed by the author, and can be used in solving the problem of signal reception on the background of noise and hindrances, described by nonlinear stochastic differential equations. The problem will be discussed in details in our future publications.