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Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations

A Volume Dedicated to Heinz Langer

  • Daniel Alpay
  • Bernd Kirstein

Part of the Operator Theory: Advances and Applications book series (OT, volume 263)

Also part of the Linear Operators and Linear Systems book sub series (LOLS, volume 263)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Biographical Material

    1. Front Matter
      Pages 1-1
    2. Daniel Alpay, Bernd Kirstein
      Pages 17-21
  3. Papers

    1. Front Matter
      Pages 71-71
    2. Damir Z. Arov, Harry Dym
      Pages 73-105
    3. Joseph A. Ball, Vladimir Bolotnikov
      Pages 107-161
    4. S. Belyi, K. A. Makarov, E. Tsekanovskiĭ
      Pages 191-215
    5. Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
      Pages 297-320
    6. Orif O. Ibrogimov, Christiane Tretter
      Pages 321-334
    7. Seppo Hassi, Henk de Snoo, Henrik Winkler
      Pages 335-355
    8. Lutz Klotz, Conrad Mädler
      Pages 387-392
    9. Franciszek Hugon Szafraniec
      Pages 485-495

About this book

Introduction

This volume, which is dedicated to Heinz Langer, includes biographical material and carefully selected papers.

Heinz Langer has made fundamental contributions to operator theory. In particular, he has studied the domains of operator pencils and nonlinear eigenvalue problems, the theory of indefinite inner product spaces, operator theory in Pontryagin and Krein spaces, and applications to mathematical physics. His works include studies on and applications of Schur analysis in the indefinite setting, where the factorization theorems put forward by Krein and Langer for generalized Schur functions, and by Dijksma-Langer-Luger-Shondin, play a key role.

The contributions in this volume reflect Heinz Langer’s chief research interests and will appeal to a broad readership whose work involves operator theory.

 

Keywords

Schur analysis differential equations inverse problems Mathematical physics Interpolation theory indefinite inner product spaces Pontryagin spaces linear systems

Editors and affiliations

  • Daniel Alpay
    • 1
  • Bernd Kirstein
    • 2
  1. 1.MathematicsChapman University MathematicsOrangeUSA
  2. 2.Mathematisches InstitutUniversität Leipzig Mathematisches InstitutLeipzigGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-68849-7
  • Copyright Information Springer International Publishing AG 2018
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-68848-0
  • Online ISBN 978-3-319-68849-7
  • Series Print ISSN 0255-0156
  • Series Online ISSN 2296-4878
  • Buy this book on publisher's site