Conservative Realizations of Herglotz-Nevanlinna Functions
Author:   Yuri Arlinskii ,  Sergey Belyi ,  Eduard Tsekanovskii
Publisher:   Birkhauser Verlag AG
Edition:   2011 ed.
Volume:   217
ISBN:  

9783764399955


Pages:   530
Publication Date:   23 June 2011
Format:   Hardback
Availability:   In Print   Availability explained
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Conservative Realizations of Herglotz-Nevanlinna Functions


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Author:   Yuri Arlinskii ,  Sergey Belyi ,  Eduard Tsekanovskii
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2011 ed.
Volume:   217
Dimensions:   Width: 15.50cm , Height: 3.80cm , Length: 23.50cm
Weight:   0.980kg
ISBN:  

9783764399955


ISBN 10:   3764399953
Pages:   530
Publication Date:   23 June 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preface.- 1 Extensions of Symmetric Operators.- 2 Rigged Hilbert Spaces.- 3 Bi-extensions of Closed Symmetric Operators.-.4 Quasi-self-adjoint Extensions.- 5 The Livsic Canonical Systems with Bounded Operators.- 6 Herglotz-Nevanlinna functions and Rigged Canonical Systems.- 7 Classes of realizable Herglotz-Nevanlinna functions.- 8 Normalized Canonical Systems.- 9 Canonical L-systems with Contractive and Accretive Operators.- 10 Systems with Schrödinger operator.- 11 Non-self-adjoint Jacobi Matrices and System Interpolation.- 12 Non-canonical Systems.- Notes and Comments.- References.- Index.

Reviews

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. Livsic). It will be of interest for researchers in each of these fields. (Dmitry Kaliuzhnyi-Verbovetskyi, Zentralblatt MATH, Vol. 1240, 2012)


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)


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. Livsic). It will be of interest for researchers in each of these fields. (Dmitry Kaliuzhnyi-Verbovetskyi, Zentralblatt MATH, Vol. 1240, 2012)


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