### Abstract

In this paper a concrete realization for a scalar generalized Nevanlinna function q ∈ N_k is given using the realizations of the factors in the basic factorization of q. Some cases are discussed in more detail and the representing operators are given as block operator matrices.

Original language | English |
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Title of host publication | Operator theory in Krein spaces and nonlinear eigenvalue problems |

Editors | Karl-Heinz Förster, Heinz Langer, Peter Jonas |

Pages | 253-276 |

Number of pages | 25 |

DOIs | |

Publication status | Published - 2006 |

### Publication series

Name | Operator Theory: Advances and Applications |
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Publisher | Birkhäuser |

Volume | 162 |

### Keywords

- scalar generalized nevanlinna function
- realization
- block operator matrix

## Cite this

Langer, M., & Luger, A. (2006). Scalar generalized nevanlinna functions: realizations with block operator matrices. In K-H. Förster, H. Langer, & P. Jonas (Eds.),

*Operator theory in Krein spaces and nonlinear eigenvalue problems*(pp. 253-276). (Operator Theory: Advances and Applications; Vol. 162). https://doi.org/10.1007/3-7643-7453-5_14