TY - JOUR

T1 - Realization of tensor product and of tensor factorization of rational functions

AU - Alpay, Daniel

AU - Lewkowicz, Izchak

N1 - Funding Information:
Daniel Alpay thanks the Foster G. and Mary McGaw Professorship in Mathematical Sciences, which supported this research.
Publisher Copyright:
© 2019, Chapman University.

PY - 2019/9/1

Y1 - 2019/9/1

N2 - 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.

AB - 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.

KW - Factorization of rational functions

KW - State space realization

KW - Tensor product

UR - http://www.scopus.com/inward/record.url?scp=85091761284&partnerID=8YFLogxK

U2 - 10.1007/s40509-019-00190-w

DO - 10.1007/s40509-019-00190-w

M3 - Article

AN - SCOPUS:85091761284

VL - 6

SP - 269

EP - 278

JO - Quantum Studies: Mathematics and Foundations

JF - Quantum Studies: Mathematics and Foundations

SN - 2196-5609

IS - 3

ER -