@Article{Behrndt2008,
author = "Behrndt, Jussi and Hassi, Seppo and de Snoo, Henk",
title = "Functional models for Nevanlinna families",
journal = "Opuscula Math.",
year = "2008",
volume = "28",
number = "3",
pages = "233--245",
doi = "http://dx.doi.org/10.7494/OpMath.2008.28.3.233",
url = "http://dx.doi.org/10.7494/OpMath.2008.28.3.233",
abstract = "The class of Nevanlinna families consists of \(\mathbb{R}\)-symmetric holomorphic multivalued functions on \(\mathbb{C} \setminus \mathbb{R}\) with maximal dissipative (maximal accumulative) values on \(\mathbb{C}_{+}\) (\(\mathbb{C}_{-}\), respectively) and is a generalization of the class of operator-valued Nevanlinna functions. In this note Nevanlinna families are realized as Weyl families of boundary relations induced by multiplication operators with the independent variable in reproducing kernel Hilbert spaces.",
keywords = "symmetric operator, selfadjoint extension, boundary relation, Weyl family, functional model, reproducing kernel Hilbert space",
issn = "1232-9274"
}