© 2006

The State Space Method Generalizations and Applications

  • Daniel Alpay
  • Israel Gohberg

Part of the Operator Theory: Advances and Applications book series (OT, volume 161)

Table of contents

  1. Front Matter
    Pages i-ix
  2. D. Alpay, D.S. Kalyuzhnyı-Verbovetzkiı
    Pages 49-113
  3. Joseph A. Ball, Gilbert Groenewald, Tanit Malakorn
    Pages 179-223
  4. I. Gohberg, I. Haimovici, M.A. Kaashoek, L. Lerer
    Pages 225-270

About this book


The state space method developed in the last decades allows us to study the theory of linear systems by using tools from the theory of linear operators; conversely, it had a strong influence on operator theory introducing new questions and topics.

The present volume contains a collection of essays representing some of the recent advances in the state space method. Methods covered include noncommutative systems theory, new aspects of the theory of discrete systems, discrete analogs of canonical systems, and new applications to the theory of Bezoutiants and convolution equations.

The articles in the volume will be of interest to pure and applied mathematicians, electrical engineers and theoretical physicists.


Bezout operator Formal power series Linear systems Matrix Potential Special functions State space method convolution operator theory

Editors and affiliations

  • Daniel Alpay
    • 1
  • Israel Gohberg
    • 2
  1. 1.Department of MathematicsBen-Gurion University of the NegevBeer ShevaIsrael
  2. 2.School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact SciencesTel Aviv UniversityRamat AvivIsrael

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