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Zeitschrift für Analysis und ihre Anwendungen


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Volume 21, Issue 1, 2002, pp. 3–20
DOI: 10.4171/ZAA/1062

Published online: 2002-03-31

Tensor Algebras and Displacement Structure I. The Schur Algorithm

Tiberiu Constantinescu[1] and J. L. Johnson[2]

(1) University of Texas at Dallas, United States
(2) University of Texas at Dallas, Richardson, USA

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.

Keywords: Displacement structure, tensor algebras, Schur algorithm

Constantinescu Tiberiu, Johnson J.: Tensor Algebras and Displacement Structure I. The Schur Algorithm. Z. Anal. Anwend. 21 (2002), 3-20. doi: 10.4171/ZAA/1062