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    Conservative Realizations of Herglotz-Nevanlinna Functions

Conservative Realizations of Herglotz-Nevanlinna Functions

Yuri Arlinskii
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      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.
      Format: Paperback / softback CONTRIBUTORS: Yuri Arlinskii EAN: 9783034803335 COUNTRY: Switzerland PAGES: WEIGHT: 831 g HEIGHT: 235 cm
      PUBLISHED BY: Birkhauser Verlag AG DATE PUBLISHED: 2013-08-03 CITY: GENRE: MATHEMATICS / Functional Analysis, SCIENCE / Physics / Mathematical & Computational WIDTH: 155 cm SPINE:

      Book Themes:

      Functional analysis and transforms, Mathematical physics

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      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.
      Format: Paperback / softback CONTRIBUTORS: Yuri Arlinskii EAN: 9783034803335 COUNTRY: Switzerland PAGES: WEIGHT: 831 g HEIGHT: 235 cm
      PUBLISHED BY: Birkhauser Verlag AG DATE PUBLISHED: 2013-08-03 CITY: GENRE: MATHEMATICS / Functional Analysis, SCIENCE / Physics / Mathematical & Computational WIDTH: 155 cm SPINE:

      Book Themes:

      Functional analysis and transforms, Mathematical physics

      Customer Reviews

      Be the first to write a review
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