Realization of tensor product and of tensor factorization of rational functions

Daniel Alpay, Izchak Lewkowicz

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish
Pages (from-to)269-278
Number of pages10
JournalQuantum Studies: Mathematics and Foundations
Issue number3
StatePublished - 1 Sep 2019


  • Factorization of rational functions
  • State space realization
  • Tensor product

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics


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