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We study the state space realization of a tensor product of a pair of rational functions. At the expense of “inflating” the dimensions, we recover the classical expressions for realization of a regular product of rational functions. Under an additional assumption that the limit at infinity of a given rational function exists and is equal to identity, we introduce an explicit formula for a tensor factorization of this function.


This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Quantum Studies: Mathematics and Foundations in 2019 following peer review. The final publication may differ and is available at Springer via DOI: 10.1007/s40509-019-00190-w.

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Chapman University



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