Conservative Realizations of Herglotz-Nevanlinna Functions: 217 (Operator Theory: Advances and Applications) - Tapa blanda

Tsekanovskii, Eduard; Belyi, Sergey; Arlinskii, Yuri

 
9783034803335: Conservative Realizations of Herglotz-Nevanlinna Functions: 217 (Operator Theory: Advances and Applications)

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Otras ediciones populares con el mismo título

9783764399955: Conservative Realizations of Herglotz-Nevanlinna Functions: 217 (Operator Theory: Advances and Applications)

Edición Destacada

ISBN 10:  3764399953 ISBN 13:  9783764399955
Editorial: Birkhäuser, 2011
Tapa dura