\(J_{\ell}\)-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting (Q865432)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(J_{\ell}\)-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting |
scientific article; zbMATH DE number 5126038
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(J_{\ell}\)-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting |
scientific article; zbMATH DE number 5126038 |
Statements
\(J_{\ell}\)-unitary factorization and the Schur algorithm for Nevanlinna functions in an indefinite setting (English)
0 references
14 February 2007
0 references
In this important paper, the authors introduce for the first time 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 \(J\)-unitary matrix functions into elementary factors from the same class.
0 references
Schur transformation
0 references
generalised Nevanlinna functions
0 references
kernel with negative squares
0 references
J-unitarity
0 references
minimal factorizations
0 references
reproducing kernel Pontryagin spaces
0 references
elementary rational matrix functions
0 references
0 references
0.94645447
0 references
0.87222356
0 references
0.8719875
0 references
0.87167156
0 references
0.8627559
0 references
