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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Detaylı Bibliyografya
Asıl Yazarlar: Arlinskii, Yuri, Belyi, Sergey (Yazar), Tsekanovskii, Eduard, 19..- (Yazar)
Materyal Türü: Livre numérique
Dil:Anglais
Baskı/Yayın Bilgisi: Basel : Springer Basel [20..].
Cham : Springer Nature
Edisyon:1st ed. 2011.
Seri Bilgileri:Operator Theory: Advances and Applications 217
Konular:
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Not: Description d'après consultation du 18 novembre 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Conservative realizations of Herglotz-Nevanlinna functions, Yuri Arlinskii, Sergey Belyi, Eduard Tsekanovskii, 2011, Basel, Birkhäuser, 1 vol. (XVIII-528 p.), Operator Theory : Advances and Applications, 978-3-7643-9995-5
• Conservative Realizations of Herglotz-Nevanlinna Functions, Texte imprimé, 9783034600132
• Conservative Realizations of Herglotz-Nevanlinna Functions, Texte imprimé, 9783034803335
Diğer Bilgiler
Özet: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
Diğer Bilgileri:Description d'après consultation du 18 novembre 2011
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Bibliyografya:Notes bibliogr. en fin de contributions. Index
ISBN:9783764399962
ISSN:2296-4878
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