TY  - JOUR
ID  - Behrndt2008
LB  - Behrndt2008
AU  - Behrndt, Jussi
AU  - Hassi, Seppo
AU  - de Snoo, Henk
TI  - Functional models for Nevanlinna families
ST  - Functional models for Nevanlinna families
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2008
VL  - 28
IS  - 3
SP  - 233
EP  - 245
DO  - http://dx.doi.org/10.7494/OpMath.2008.28.3.233
UR  - http://dx.doi.org/10.7494/OpMath.2008.28.3.233
AB  - 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.
KW  - symmetric operator
KW  - selfadjoint extension
KW  - boundary relation
KW  - Weyl family
KW  - functional model
KW  - reproducing kernel Hilbert space
SN  - 1232-9274
ER  -