TY - JOUR
T1 - Jℓ-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting
AU - Alpay, D.
AU - Dijksma, A.
AU - Langer, H.
N1 - Funding Information:
D. Alpay would like to acknowledge with thanks the Earl Katz family for endowing the chair which supported this research and the Netherlands Organization for Scientific Research, NWO (grant B 61-524). The research of A. Dijksma and H. Langer was partly supported by the Center for Advanced Studies in Mathematics, CASM, of the Department of Mathematics of the Ben-Gurion University.
PY - 2006/12/1
Y1 - 2006/12/1
N2 - We introduce a Schur transformation for generalized Nevanlinna functions and show that it can be used in obtaining the unique minimal factorization of a class of rational Jℓ-unitary 2 × 2 matrix functions into elementary factors from the same class.
AB - We introduce a Schur transformation for generalized Nevanlinna functions and show that it can be used in obtaining the unique minimal factorization of a class of rational Jℓ-unitary 2 × 2 matrix functions into elementary factors from the same class.
KW - Elementary rational matrix functions
KW - Generalized Nevanlinna functions
KW - J-unitarity on the real line
KW - Kernels with negative squares
KW - Minimal factorizations
KW - Reproducing kernel Pontryagin spaces
KW - Schur transformation
UR - http://www.scopus.com/inward/record.url?scp=33748884787&partnerID=8YFLogxK
U2 - 10.1016/j.laa.2006.06.010
DO - 10.1016/j.laa.2006.06.010
M3 - Article
AN - SCOPUS:33748884787
SN - 0024-3795
VL - 419
SP - 675
EP - 709
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
IS - 2-3
ER -