Conservative Realizations of Herglotz-nevanlinna Functions - 9783764399955
Un libro in lingua di Yuri Arlinskii Sergey Belyi Eduard Tsekanovskii edito da Birkhauser, 2011
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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.
Informazioni bibliografiche
- Titolo del Libro in lingua: Conservative Realizations of Herglotz-nevanlinna Functions
- Lingua: English
- Autori : Yuri Arlinskii Sergey Belyi Eduard Tsekanovskii
- Editore: Birkhauser
- Collana: Birkhauser (Hardcover)
- Data di Pubblicazione: 08 Luglio '11
- Genere: MATHEMATICS
- Pagine: 528
- ISBN-10: 3764399953
- EAN-13: 9783764399955