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Browsing by Subject "boundary relation"

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    Item type:Article, Access status: Open Access ,
    Functional models for Nevanlinna families
    (2008) Behrndt, Jussi; Hassi, Seppo; Snoo, Henk de
    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.