Conservative Realizations of Herglotz-Nevanlinna Functions [recurso electrónico] / by Yuri Arlinskii, Sergey Belyi, Eduard Tsekanovskii.
Tipo de material:
TextoSeries Operator Theory: Advances and Applications ; 217Editor: Basel : Springer Basel, 2011Descripción: XVIII, 530 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783764399962Tema(s): Mathematics | Operator theory | Mathematical physics | Mathematics | Operator Theory | Mathematical Methods in PhysicsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 515.724 Clasificación LoC:QA329-329.9Recursos en línea: Libro electrónico
| Tipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
|---|---|---|---|---|---|---|---|
| Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QA329 -329.9 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 377029-2001 |
Navegando Biblioteca Electrónica Estantes, Código de colección: Colección de Libros Electrónicos Cerrar el navegador de estanterías (Oculta el navegador de estanterías)
| QA329 -329.9 Tauberian Operators | QA329 -329.9 Symplectic Methods in Harmonic Analysis and in Mathematical Physics | QA329 -329.9 Spectral Theory and Analysis | QA329 -329.9 Conservative Realizations of Herglotz-Nevanlinna Functions | QA329 -329.9 Boundary Element Methods with Applications to Nonlinear Problems | QA331 -355 An Introduction to Complex Analysis | QA331 -355 Complex Analysis |
Preface -- 1 Extensions of Symmetric Operators -- 2 Rigged Hilbert Spaces -- 3 Bi-extensions of Closed Symmetric Operators.-.4 Quasi-self-adjoint Extensions -- 5 The Livsic Canonical Systems with Bounded Operators -- 6 Herglotz-Nevanlinna functions and Rigged Canonical Systems -- 7 Classes of realizable Herglotz-Nevanlinna functions -- 8 Normalized Canonical Systems -- 9 Canonical L-systems with Contractive and Accretive Operators -- 10 Systems with Schrödinger operator -- 11 Non-self-adjoint Jacobi Matrices and System Interpolation -- 12 Non-canonical Systems -- Notes and Comments -- References -- Index.
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.
19
