Conservative Realizations of Herglotz-Nevanlinna Functions: 217 - Rilegato

Arlinskii, Yuri; Belyi, Sergey; Tsekanovskii, Eduard

Rilegato

ISBN 10: 3764399953 ISBN 13: 9783764399955

Casa editrice: Birkhauser, 2011

Riassunto

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.

Su questo libro

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Birkhauser
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 3764399953
• ISBN 13: 9783764399955
• Rilegatura: Copertina rigida
• Numero di pagine: 528
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile