Download Conservative Realizations of Herglotz-Nevanlinna Functions: by Yuri Arlinskii,Sergey Belyi,Eduard Tsekanovskii PDF

By Yuri Arlinskii,Sergey Belyi,Eduard Tsekanovskii

This publication is dedicated to conservative realizations of assorted periods of Stieltjes, inverse Stieltjes, and normal Herglotz-Nevanlinna features as impedance services of linear structures. the most function of the monograph is a brand new method of the belief thought profoundly concerning built extension thought in triplets of rigged Hilbert areas and  unbounded operators as state-space operators of linear platforms. The connections of the belief conception to structures with accretive, sectorial, and contractive state-space operators in addition to  to the Phillips-Kato sectorial extension challenge, the Krein-von Neumann and Friedrichs extremal extensions are supplied. between different effects the ebook includes functions to the inverse difficulties for linear platforms with non-self-adjoint Schrödinger operators,  Jacobi matrices, and to the Nevanlinna-Pick process interpolation.

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