Tensor algebras, displacement structure, and the Schur algorithm

Details Tensor algebras, displacement structure, and the Schur algorithm Tensor algebras, displacement structure, and the Schur algorithm

2001-01-30

arxiv.org/abs/math/0101252v1

Mathematics

Functional Analysis

17 pages

Scientific paper

In this paper we explore the connection between tensor algebras and
displacement structure. 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 nonstationary linear systems, and we describe a Schur
algorithm for the Schur elements of the tensor algebra.

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