Título: Conservative Realizations Of Herglotz-Nevanlinna Functions (Vol. 217) | ||
Autor: Arlinskii, Yuri, Belyi, Sergey, Tsekanovskii, Eduard | Precio: $1767.30 | |
Editorial: Birkhauser | Año: 2011 | |
Tema: Matematicas | Edición: 1ª | |
Sinopsis | ISBN: 9783764399955 | |
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. |