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.
| Autorius: | Yuri Arlinskii, Eduard Tsekanovskii, Sergey Belyi, |
| Serija: | Operator Theory: Advances and Applications |
| Leidėjas: | Birkhäuser Basel |
| Išleidimo metai: | 2011 |
| Knygos puslapių skaičius: | 548 |
| ISBN-10: | 3764399953 |
| ISBN-13: | 9783764399955 |
| Formatas: | Knyga kietu viršeliu |
| Kalba: | Anglų |
| Žanras: | Functional analysis and transforms |
Parašykite atsiliepimą apie „Conservative Realizations of Herglotz-Nevanlinna Functions“
