Conservative realizations of Herglotz-Nevanlinna functions
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 exten...
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| Hauptverfasser: | , , |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2011. |
| Schriftenreihe: | Operator Theory: Advances and Applications
217 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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Description d'après consultation du 18 novembre 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Conservative realizations of Herglotz-Nevanlinna functions, Yuri Arlinskii, Sergey Belyi, Eduard Tsekanovskii, 2011, Basel, Birkhäuser, 1 vol. (XVIII-528 p.), Operator Theory : Advances and Applications, 978-3-7643-9995-5 • Conservative Realizations of Herglotz-Nevanlinna Functions, Texte imprimé, 9783034600132 • Conservative Realizations of Herglotz-Nevanlinna Functions, Texte imprimé, 9783034803335 |
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| 041 | 0 | |a eng | |
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| 084 | |a 47Axx. 2010 | ||
| 084 | |a 47Bxx. 2010 | ||
| 100 | 1 | |a Arlinskii, Yuri. | |
| 245 | 1 | 0 | |a Conservative realizations of Herglotz-Nevanlinna functions |c Yuri Arlinskii, Sergey Belyi, Eduard Tsekanovskii. |
| 250 | |a 1st ed. 2011. | ||
| 260 | |a Basel : |b Springer Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Operator Theory: Advances and Applications |v 217 |x 2296-4878 | |
| 500 | |a Description d'après consultation du 18 novembre 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Notes bibliogr. en fin de contributions. Index | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Théorie des opérateurs | ||
| 650 | |a Fonctions de Herglotz-Nevanlinna | ||
| 700 | 1 | |a Belyi, Sergey. |4 aut | |
| 700 | 1 | |a Tsekanovskii, Eduard, |d 19..- |4 aut | |
| 776 | 0 | |0 154844624 |t Conservative realizations of Herglotz-Nevanlinna functions |f Yuri Arlinskii, Sergey Belyi, Eduard Tsekanovskii |d 2011 |c Basel |n Birkhäuser |p 1 vol. (XVIII-528 p.) |s Operator Theory : Advances and Applications |z 978-3-7643-9995-5 | |
| 776 | 0 | |t Conservative Realizations of Herglotz-Nevanlinna Functions |b Texte imprimé |z 9783034600132 | |
| 776 | 0 | |t Conservative Realizations of Herglotz-Nevanlinna Functions |b Texte imprimé |z 9783034803335 | |
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| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-KQVS0V6R-P |z Accès sur la plateforme Istex | |
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