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Conservative Realizations of Herglotz-Nevanlinna Functions PDF

547 Pages·2011·4.58 MB·English
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About 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 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.

Detailed Information

Author:Yuri Arlinskii, Sergey Belyi, Eduard Tsekanovskii (auth.)
Publication Year:2011
ISBN:9783764399955
Pages:547
Language:English
File Size:4.58
Format:PDF
Price:FREE
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