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Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations

A Volume Dedicated to Heinz Langer

  • Book
  • © 2018

Overview

Editors:
  1. Daniel Alpay

    1. Mathematics, Chapman University Mathematics, Orange, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  2. Bernd Kirstein

    1. Mathematisches Institut, Universität Leipzig Mathematisches Institut, Leipzig, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

  • 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
    Download chapter PDF

  2. Biographical Material

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. List of Publications* of Professor Dr. Dr. h.c. mult. Heinz Langer

      • Daniel Alpay, Bernd Kirstein
      Pages 3-16

    3. Some Pictures from the Ceremony

      • Daniel Alpay, Bernd Kirstein
      Pages 17-21

    4. Heinz Langer – Pioneer of Operator Theory in Indefinite Inner Product Spaces

      • Bernd Kirstein
      Pages 23-69

  3. Papers

    1. Front Matter

      Pages 71-71
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    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. Finite Rank Perturbations in Pontryagin Spaces and a Sturm–Liouville Problem with λ-rational Boundary Conditions

      • Jussi Behrndt, Friedrich Philipp
      Pages 163-189

    5. On Unimodular Transformations of Conservative L-systems

      • S. Belyi, K. A. Makarov, E. Tsekanovskiĭ
      Pages 191-215

    6. Spectral Theory of Stationary Random Fields and their Generalizations. A Short Historical Survey

      • Georg Berschneider, Zoltán Sasvári
      Pages 217-235

    7. Semicircular-like, and Semicircular Laws Induced by Certain C ∗-probability Spaces over the Finite Adele Ring A ℚ

      • Ilwoo Cho, Palle E. T. Jorgensen
      Pages 237-280

    8. On the Asymptotic Behaviour of the Zeros of the Solutions of a Functional-differential Equation with Rescaling

      • Gregory Derfel, Peter J. Grabner, Robert F. Tichy
      Pages 281-295

    9. Rational q × q Carathéodory Functions and Central Non-negative Hermitian Measures

      • Bernd Fritzsche, Bernd Kirstein, Conrad Mädler
      Pages 297-320

    10. On the Spectrum of an Operator in Truncated Fock Space

      • Orif O. Ibrogimov, Christiane Tretter
      Pages 321-334

    11. Limit Properties of Eigenvalues in Spectral Gaps

      • Seppo Hassi, Henk de Snoo, Henrik Winkler
      Pages 335-355

    12. Self-adjoint Boundary Conditions for the Prolate Spheroid Differential Operator

      • Victor Katsnelson
      Pages 357-386

    13. An Addendum to a Paper by Li and Zhang

      • Lutz Klotz, Conrad Mädler
      Pages 387-392

    14. On Accelerants and Their Analogs, and on the Characterization of the Rectangular Weyl Functions for Dirac Systems with Locally Square-Integrable Potentials on a Semi-Axis

      • Alexander Sakhnovich
      Pages 393-406

    15. Dirac Equation: the Stationary and Dynamical Scattering Problems

      • Lev Sakhnovich
      Pages 407-424
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Keywords

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

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