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Arlinskii, Yuri; Belyi, Sergey; Tsekanovskii, Eduard - Conservative Realizations of Herglotz-Nevanlinna Functions - 9783764399955 - V9783764399955
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Conservative Realizations of Herglotz-Nevanlinna Functions

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Description for Conservative Realizations of Herglotz-Nevanlinna Functions Hardback. This book covers the realization theory of various classes of Stieltjes, inverse Stieltjes and general Herglotz-Nevanlinna functions as linear fractional transformations of transfer functions of linear conservative systems. Series: Operator Theory: Advances and Applications. Num Pages: 548 pages, biography. BIC Classification: PBKF; PHU. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 38. Weight in Grams: 979.

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 ... Read more

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Product Details

Format
Hardback
Publication date
2011
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
548
Condition
New
Series
Operator Theory: Advances and Applications
Number of Pages
530
Place of Publication
Basel, Switzerland
ISBN
9783764399955
SKU
V9783764399955
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15

Reviews for Conservative Realizations of Herglotz-Nevanlinna Functions
From the reviews: “The book demonstrates the deep and powerful interconnection between operator theory, systems theory, and the theory of analytic functions of one variable (which was observed and explored in the pioneering works of M. Livšic). It will be of interest for researchers in each of these fields.” (Dmitry Kaliuzhnyi-Verbovetskyi, Zentralblatt MATH, Vol. 1240, 2012)

Goodreads reviews for Conservative Realizations of Herglotz-Nevanlinna Functions


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