Functional models for Nevanlinna families

• Autorzy: Behrndt J. , Hassi S. , Snoo H. de
• Języki publikacji: EN

Abstrakty

EN

The class of Nevanlinna families consists of R-symmetric holomorphic multivalued functions on C \ R with maximal dissipative (maximal accumulative) values on C+ (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.

Słowa kluczowe

EN

symmetric operator; selfadjoint extension; boundary relation; Weyl family; functional model; reproducing kernel Hilbert space

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 3
• Strony: 233--245
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Behrndt J.

autor

Hassi S.

autor

Snoo H. de

• Technische Universität Berlin Institut für Mathematik, MA 6-4 Strasse des 17. Juni 136, 10623 Berlin, Deutschland,

Bibliografia

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