Conservative Realizations of Herglotz-Nevanlinna Functions

Released on by Yuri Arlinskii
preview-18

  • Conservative Realizations of Herglotz-Nevanlinna Functions Book Detail

  • Author : Yuri Arlinskii
  • Release Date : 2011-06-21
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 540
  • ISBN 13 : 3764399961
  • File Size : 63,63 MB
DOWNLOAD BOOK

Conservative Realizations of Herglotz-Nevanlinna Functions by Yuri Arlinskii PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Conservative Realizations of Herglotz-Nevanlinna Functions books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Modern Analysis and Applications

Modern Analysis and Applications

File Size : 34,34 MB
Total View : 529 Views
DOWNLOAD

This is the first of two volumes containing peer-reviewed research and survey papers based on talks at the International Conference on Modern Analysis and Appli