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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Auteurs principaux: Arlinskii, Yuri, Belyi, Sergey (Auteur), Tsekanovskii, Eduard, 19..- (Auteur)
Format: Livre numérique
Langue:Anglais
Publié: Basel : Springer Basel [20..].
Cham : Springer Nature
Édition:1st ed. 2011.
Collection:Operator Theory: Advances and Applications 217
Sujets:
Accès en ligne:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
Accès INSA CVL
Note: Description d'après consultation du 18 novembre 2011
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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
Table des matières:
  • 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