Transfer Functions for Pairs of Wandering Subspaces

Mathematics – Functional Analysis

Scientific paper

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Scientific paper

To a pair of subspaces wandering with respect to a row isometry we associate
a transfer function which in general is multi-Toeplitz and in interesting
special cases is multi-analytic. Then we describe in an expository way how
characteristic functions from operator theory as well as transfer functions
from noncommutative Markov chains fit into this scheme.

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