00000cmm a22000004a 4500 UP-99796217611212209 Buklod 20250130103902.0 m go j cr |nu|||auu|a 250130s2011 sz do j eng 9783764399962 (eBook) 3764399961 (eBook) (iLib)UPD-00214608394 DLC DMLR rda eng DMLUC QA 329 A75 2011 Conservative realizations of herglotz-nevanlinna functions [electronic resource] Yuri Arlinskii, Sergey Belyi, Eduard Tsekanovskii ,editors. Swizerland Birkhäuser Basel 2011. 1 online resource (xviii, 528 pages) illustrations. text rdacontent computer rdamedia online resource rdacarrier Lecture notes in mathematics 2013 Preface -- 1 Extensions of Symmetric Operators -- 2 Rigged Hilbert Spaces -- 3 Bi-extensions of Closed Symmetric Operators.-.4 Quasi-self-adjoint Extensions -- 5 The Livsic Canonical Systems with Bounded Operators -- 6 Herglotz-Nevanlinna functions and Rigged Canonical Systems -- 7 Classes of realizable Herglotz-Nevanlinna functions -- 8 Normalized Canonical Systems -- 9 Canonical L-systems with Contractive and Accretive Operators -- 10 Systems with Schrödinger operator -- 11 Non-self-adjoint Jacobi Matrices and System Interpolation -- 12 Non-canonical Systems -- Notes and Comments -- References -- Index. IP-based subscription, access limited to within on campus computer network. Access via Electronic Resources of the UPD University Library Website. 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 Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Operator theory. Operator-valued functions. Hilbert space. Belyi, Sergey editor. SpringerLink (Online service). Electronic Resource Available for UP System via Springer Link. https://doi.org/10.1007/978-3-7643-9996-2 FO UPD DMLR QA 329 A75 2011 Electronic Resource