By Yuri Arlinskii,Sergey Belyi,Eduard Tsekanovskii
This e-book is dedicated to conservative realizations of assorted sessions of Stieltjes, inverse Stieltjes, and normal Herglotz-Nevanlinna services as impedance capabilities of linear platforms. the most function of the monograph is a brand new method of the conclusion concept profoundly regarding built extension conception in triplets of rigged Hilbert areas and unbounded operators as state-space operators of linear structures. The connections of the conclusion 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 publication comprises functions to the inverse difficulties for linear structures with non-self-adjoint Schrödinger operators, Jacobi matrices, and to the Nevanlinna-Pick approach interpolation.
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Conservative Realizations of Herglotz-Nevanlinna Functions: 217 (Operator Theory: Advances and Applications) by Yuri Arlinskii,Sergey Belyi,Eduard Tsekanovskii