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Conservative Realizations of Herglotz-Nevanlinna Functions by Yuri Arlinskii
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Conservative Realizations of Herglotz-Nevanlinna Functions

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Description

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.
Release date Australia
August 3rd, 2013
Audience
  • Professional & Vocational
Illustrations
XVIII, 530 p.
Pages
530
Dimensions
155x235x29
ISBN-13
9783034803335
Product ID
21597911

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