Conservative Realizations of Herglotz-Nevanlinna Functions

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 exten...

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Detalles Bibliográficos
Autores principales: Arlinskii, Yuri, Belyi, Sergey, Tsekanovskii, Eduard
Lenguaje:eng
Publicado: Springer 2011
Materias:
Computing and Computers
Acceso en línea:https://dx.doi.org/10.1007/978-3-7643-9996-2
http://cds.cern.ch/record/1414059
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author Arlinskii, Yuri
Belyi, Sergey
Tsekanovskii, Eduard
author_facet Arlinskii, Yuri
Belyi, Sergey
Tsekanovskii, Eduard
author_sort Arlinskii, Yuri
collection CERN
description 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
id cern-1414059
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
publisher Springer
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spelling cern-14140592021-04-22T00:41:07Zdoi:10.1007/978-3-7643-9996-2http://cds.cern.ch/record/1414059engArlinskii, YuriBelyi, SergeyTsekanovskii, EduardConservative Realizations of Herglotz-Nevanlinna FunctionsComputing and ComputersThis 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 Springeroai:cds.cern.ch:14140592011
spellingShingle Computing and Computers
Arlinskii, Yuri
Belyi, Sergey
Tsekanovskii, Eduard
Conservative Realizations of Herglotz-Nevanlinna Functions
title Conservative Realizations of Herglotz-Nevanlinna Functions
title_full Conservative Realizations of Herglotz-Nevanlinna Functions
title_fullStr Conservative Realizations of Herglotz-Nevanlinna Functions
title_full_unstemmed Conservative Realizations of Herglotz-Nevanlinna Functions
title_short Conservative Realizations of Herglotz-Nevanlinna Functions
title_sort conservative realizations of herglotz-nevanlinna functions
topic Computing and Computers
url https://dx.doi.org/10.1007/978-3-7643-9996-2
http://cds.cern.ch/record/1414059
work_keys_str_mv AT arlinskiiyuri conservativerealizationsofherglotznevanlinnafunctions
AT belyisergey conservativerealizationsofherglotznevanlinnafunctions
AT tsekanovskiieduard conservativerealizationsofherglotznevanlinnafunctions

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