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Titlebook: Conservative Realizations of Herglotz-Nevanlinna Functions; Yuri Arlinskii,Sergey Belyi,Eduard Tsekanovskii Book 2011 Springer Basel AG 20

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书目名称Conservative Realizations of Herglotz-Nevanlinna Functions
编辑Yuri Arlinskii,Sergey Belyi,Eduard Tsekanovskii
视频videohttp://file.papertrans.cn/236/235801/235801.mp4
概述Only book covering this spectrum of problems and methods of the Herglotz-Nevanlinna functions realization.First comprehensive coverage of the realization theory for Herglotz-Nevanlinna matrix function
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Conservative Realizations of Herglotz-Nevanlinna Functions;  Yuri Arlinskii,Sergey Belyi,Eduard Tsekanovskii Book 2011 Springer Basel AG 20
描述.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..
出版日期Book 2011
关键词Herglotz-Nevanlinna function; operator theory; system theory
版次1
doihttps://doi.org/10.1007/978-3-7643-9996-2
isbn_softcover978-3-0348-0333-5
isbn_ebook978-3-7643-9996-2Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightSpringer Basel AG 2011
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0255-0156 e realization theory for Herglotz-Nevanlinna matrix function.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 t
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0255-0156 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..978-3-0348-0333-5978-3-7643-9996-2Series ISSN 0255-0156 Series E-ISSN 2296-4878
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The Herglotz-Nevanlinna Functions and Rigged Canonical Systems,
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Canonical L-systems with Contractive and Accretive Operators,
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