In this paper we explore the connection between tensor algebras and displacement structure. Thus, we describe a scattering experiment in this framework, we obtain a realization of the elements of the tensor algebra as transfer maps of a certain class of non-stationary linear systems, and we describe a Schur type algortihm for the Schur elements of the tensor algebra.
Cite this article
Tiberiu Constantinescu, J. L. Johnson, Tensor Algebras and Displacement Structure I. The Schur Algorithm. Z. Anal. Anwend. 21 (2002), no. 1, pp. 3–20DOI 10.4171/ZAA/1062