Conservative Realizations of Herglotz-Nevanlinna Functions (Hardcover, 2011 ed.)

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 Schroedinger operators, Jacobi matrices, and to the Nevanlinna-Pick system interpolation.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Operator Theory: Advances and Applications, 217
Release date:	June 2011
First published:	2011
Authors:	Yuri Arlinskii • Sergey Belyi • Eduard Tsekanovskii
Dimensions:	235 x 155 x 38mm (L x W x T)
Format:	Hardcover
Pages:	530
Edition:	2011 ed.
ISBN-13:	978-3-7643-9995-5
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	3-7643-9995-3
Barcode:	9783764399955

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