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Birkhäuser

System Theory, the Schur Algorithm and Multidimensional Analysis

  • Book
  • © 2007

Overview

Editors:
  1. Daniel Alpay

    1. Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

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  2. Victor Vinnikov

    1. Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • Careful selection of longer articles introducing to the topics and presenting recent results
  • Very active area of research at the border lines to physics and systems engineering
  • Includes supplementary material: sn.pub/extras

Part of the book series: Operator Theory: Advances and Applications (OT, volume 176)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-ix
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  2. The Transformation of Issai Schur and Related Topics in an Indefinite Setting

    • D. Alpay, A. Dijksma, H. Langer
    Pages 1-98

  3. A Truncated Matricial Moment Problem on a Finite Interval. The Case of an Odd Number of Prescribed Moments

    • Abdon E. Choque Rivero, Yuriy M. Dyukarev, Bernd Fritzsche, Bernd Kirstein
    Pages 99-164

  4. On the Irreducibility of a Class of Homogeneous Operators

    • Gadadhar Misra, Subrata Shyam Roy
    Pages 165-198

  5. Canonical Forms for Symmetric and Skewsymmetric Quaternionic Matrix Pencils

    • Leiba Rodman
    Pages 199-254

  6. Algorithms to Solve Hierarchically Semi-separable Systems

    • Zhifeng Sheng, Patrick Dewilde, Shivkumar Chandrasekaran
    Pages 255-294

  7. Unbounded Normal Algebras and Spaces of Fractions

    • Florian-Horia Vasilescu
    Pages 295-322
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Keywords

About this book

This volume contains six peer-refereed articles written on the occasion of the workshop "Operator theory, system theory and scattering theory: multidimensional generalizations and related topics", held at the Ben-Gurion University of the Negev from June 26 to July 1, 2005. The contributions which both survey their respective fields and contain new results present a cross-section of current activity in operator theory and system theory. Topics considered include Schur analysis, hierarchical semiseparable matrices, canonical forms for pairs of quaternionic matrices, the theory of homogeneous operators, algebras of fractions of continuous functions, and moment problems. Schur analysis in its various aspects occupies more than half of the volume, and moments problems have also an important place in the papers presented here.
The volume will be of interest to a wide audience of pure and applied mathematicians, electrical engineers and theoretical physicists.

 

Editors and Affiliations

  • Department of Mathematics, Ben-Gurion University of the Negev, Beer Sheva, Israel

    Daniel Alpay, Victor Vinnikov

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