On the interpolation by discrete splines with equidistant nodes (Q1971921)

In this paper the authors develop the theory of non-periodic discrete splines of power growth. Such splines are relevant for the purposes of digital signal processing. Discrete \(B\)-splines are introduced as linear combinations of shifts of the \(B\)-splines. Here the authors present a solution of the problem of discrete spline cardinal interpolation of the sequences of power growth and prove that the solution is unique within the class of discrete splines of a given order.