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  • © 2018

Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations

A Volume Dedicated to Heinz Langer

Birkhäuser
  • Collects state-of-the-art papers on central domains in operator theory
  • Features several illustrations
  • Includes the full "Laudatio" of the celebration of Heinz Langer's honorary doctoral degree

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

Part of the book sub series: Linear Operators and Linear Systems (LOLS)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xvi
  2. Biographical Material

    1. Front Matter

      Pages 1-1
    2. Some Pictures from the Ceremony

      • Daniel Alpay, Bernd Kirstein
      Pages 17-21
  3. Papers

    1. Front Matter

      Pages 71-71
    2. The Inverse Monodromy Problem

      • Damir Z. Arov, Harry Dym
      Pages 73-105
    3. The Bitangential Matrix Nevanlinna–Pick Interpolation Problem Revisited

      • Joseph A. Ball, Vladimir Bolotnikov
      Pages 107-161
    4. On Unimodular Transformations of Conservative L-systems

      • S. Belyi, K. A. Makarov, E. Tsekanovskiĭ
      Pages 191-215
    5. Rational q × q Carathéodory Functions and Central Non-negative Hermitian Measures

      • Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
      Pages 297-320
    6. On the Spectrum of an Operator in Truncated Fock Space

      • Orif O. Ibrogimov, Christiane Tretter
      Pages 321-334
    7. Limit Properties of Eigenvalues in Spectral Gaps

      • Seppo Hassi, Henk de Snoo, Henrik Winkler
      Pages 335-355
    8. An Addendum to a Paper by Li and Zhang

      • Lutz Klotz, Conrad Mädler
      Pages 387-392

About this book

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.

 

Editors and Affiliations

  • Mathematics, Chapman University Mathematics, Orange, USA

    Daniel Alpay

  • Mathematisches Institut, Universität Leipzig Mathematisches Institut, Leipzig, Germany

    Bernd Kirstein

Bibliographic Information

  • Book Title: Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations

  • Book Subtitle: A Volume Dedicated to Heinz Langer

  • Editors: Daniel Alpay, Bernd Kirstein

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-319-68849-7

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing AG 2018

  • Hardcover ISBN: 978-3-319-68848-0Published: 07 February 2018

  • Softcover ISBN: 978-3-319-88667-1Published: 04 June 2019

  • eBook ISBN: 978-3-319-68849-7Published: 30 January 2018

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XVI, 495

  • Number of Illustrations: 2 b/w illustrations, 51 illustrations in colour

  • Topics: Operator Theory, Functional Analysis, Systems Theory, Control

Buy it now

Buying options

eBook USD 99.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 129.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 129.00
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access