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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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Arlinskii, Yuri (Author), Belyi, Sergey (Author), Tsekanovskii, Eduard (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Springer Basel : Imprint: Birkhäuser, 2011.
Edition:1st ed. 2011.
Series:Operator Theory: Advances and Applications, 217
Subjects:
Operator theory.
Mathematical physics.
Operator Theory.
Mathematical Methods in Physics.
Online Access:Texto Completo
Table of Contents:
  • 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.

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