Multidimensional linear systems: the extra term

Abstract

An Erratum has been published for this article in International Journal of Circuit Theory and Applications 1999; 27(5):523. A central role in the theory of discrete-time linear systems is played by the idea that every such system has an input–output map that can be represented by a convolution or the familiar generalization of a convolution. This thinking involves an oversight that was recently corrected by adding an additional term to the representation. Here we give and discuss a corresponding result for the important case of representations of multidimensional continuous-space system maps. Copyright © 1999 John Wiley & Sons, Ltd.