Realization of Tensor Product and of Tensor Factorization of Rational Functions

Authors

Daniel Alpay, Chapman UniversityFollow
Izchak Lewkowicz, Ben-Gurion University of the Negev

Document Type

Article

Publication Date

4-11-2019

Abstract

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.

Comments

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.

Recommended Citation

Alpay, D. & Lewkowicz, I. Quantum Stud.: Math. Found. (2019). https://doi.org/10.1007/s40509-019-00190-w

Peer Reviewed

1

Copyright

Chapman University