The State Space Method Generalizations and Applications: generalizations and applications

Daniel Alpay (Editor), Israel Gohberg (Editor)

Research output: Book/ReportBookpeer-review


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.
Original languageEnglish
Place of PublicationBasel Switzerland; Boston
Number of pages270
ISBN (Electronic)0817673709, 3764373709, 3764374314, 9780817673703, 9783764373702
ISBN (Print)0817673709, 3764373709
StatePublished - 2006

Publication series

NameOperator theory, advances and applications
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878


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


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