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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.
Details
| Verlag | Springer Basel |
| Ersterscheinung | 03. August 2013 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 820 Gramm |
| Format | Softcover |
| ISBN-13 | 9783034803335 |
| Seiten | 530 |
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