Conservative Realizations of Herglotz-Nevanlinna Functions

Conservative Realizations of Herglotz-Nevanlinna Functions

Eduard Tsekanovskii / Sergey Belyi / Yuri Arlinskii

137,11 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2013
ISBN:
9783034803335
137,11 €
IVA incluido
Disponible

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Sobre IBD

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.

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Otros libros del autor

  • Conservative Realizations of Herglotz-Nevanlinna Functions
    Eduard Tsekanovskii / Sergey Belyi / Yuri Arlinskii
    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-sy...