(Download) "Conservative Realizations of Herglotz-Nevanlinna Functions" by Yuri Arlinskii, Sergey Belyi & Eduard Tsekanovskii # Book PDF Kindle ePub Free
eBook details
- Title: Conservative Realizations of Herglotz-Nevanlinna Functions
- Author : Yuri Arlinskii, Sergey Belyi & Eduard Tsekanovskii
- Release Date : January 21, 2011
- Genre: Mathematics,Books,Science & Nature,
- Pages : * pages
- Size : 27099 KB
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.