书目名称 | Conservative Realizations of Herglotz-Nevanlinna Functions |
编辑 | Yuri Arlinskii,Sergey Belyi,Eduard Tsekanovskii |
视频video | http://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 |  |
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 |
doi | https://doi.org/10.1007/978-3-7643-9996-2 |
isbn_softcover | 978-3-0348-0333-5 |
isbn_ebook | 978-3-7643-9996-2Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
issn_series | 0255-0156 |
copyright | Springer Basel AG 2011 |