Conservative Realizations of Herglotz-Nevanlinna Functions
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Beschreibung
This book is devoted to conservative realizations of various classes of Stieltjes, inverse Stieltjes, and general Herglotz-Nevanlinna functions as impedance functions of linear systems. The main feature of the monograph is a new approach to the realization theory profoundly involving developed extension theory in triplets of rigged Hilbert spaces and unbounded operators as state-space operators of linear systems. The connections of the realization theory to systems with accretive, sectorial, and contractive state-space operators as well as to the Phillips-Kato sectorial extension problem, the Krein-von Neumann and Friedrichs extremal extensions are provided. Among other results the book contains applications to the inverse problems for linear systems with non-self-adjoint Schrödinger operators, Jacobi matrices, and to the Nevanlinna-Pick system interpolation. von Arlinskii, Yuri und Belyi, Sergey und Tsekanovskii, Eduar
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Über den Autor
- Hardcover -
- Springer Vieweg
- Hardcover -
- Springer
- Hardcover
- 1320 Seiten
- Erschienen 2012
- John Wiley & Sons Inc
- Hardcover
- 352 Seiten
- Erschienen 1986
- Springer Berlin Heidelberg