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From Complex Analysis to Operator Theory: A Panorama

In Memory of Sergey Naboko

  • Book
  • © 2023

Overview

Editors:
  1. Malcolm Brown

    1. School of Computer Science & Informatics, Cardiff University, Cardiff, UK

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  2. Fritz Gesztesy

    1. Department of Mathematics, Baylor University, Waco, USA

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  3. Pavel Kurasov

    1. Department of Mathematics, Stockholm University, Stockholm, Sweden

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  4. Ari Laptev

    1. Department of Mathematics Imperial College London London, United Kingdom, Sirius Mathematical Center, Sochi, Russia

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  5. Barry Simon

    1. Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, USA

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  6. Gunter Stolz

    1. Department of Mathematics, University of Alabama at Birmingham, Birmingham, USA

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  7. Ian Wood

    1. School of Mathematics, Statistics and Actuarial Sciences, University of Kent, Canterbury, UK

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  • Honors the memory of a great mathematician and human being
  • Includes pictures from private collections
  • Presents original research by renowned researchers

Part of the book series: Operator Theory: Advances and Applications (OT, volume 291)

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Table of contents (26 chapters)

  1. Front Matter

    Pages i-xlvi
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  3. Research Contributions

    1. Front Matter

      Pages 73-73
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    2. Functional Models of Symmetric and Selfadjoint Operators

      • Sergio Albeverio, Volodymyr Derkach, Mark Malamud
      Pages 75-122

    3. Schrödinger Operators with \(\delta \)-potentials Supported on Unbounded Lipschitz Hypersurfaces

      • Jussi Behrndt, Vladimir Lotoreichik, Peter Schlosser
      Pages 123-150

    4. Improved Lieb–Thirring Type Inequalities for Non-selfadjoint Schrödinger Operators

      • Sabine Bögli
      Pages 151-161

    5. Ballistic Transport in Periodic and Random Media

      • Anne BoutetdeMonvel, Mostafa Sabri
      Pages 163-216

    6. On the Spectral Theory of Systems of First Order Equations with Periodic Distributional Coefficients

      • Kevin Campbell, Rudi Weikard
      Pages 217-238

    7. Asymptotic Analysis of Operator Families and Applications to Resonant Media

      • Kirill D. Cherednichenko, Yulia Yu. Ershova, Alexander V. Kiselev, Vladimir A. Ryzhov, Luis O. Silva
      Pages 239-311

    8. On the Number and Sums of Eigenvalues of Schrödinger-type Operators with Degenerate Kinetic Energy

      • Jean-Claude Cuenin, Konstantin Merz
      Pages 313-340

    9. Gap Labelling for Discrete One-Dimensional Ergodic Schrödinger Operators

      • David Damanik, Jake Fillman
      Pages 341-404

    10. Degenerate Elliptic Operators and Kato’s Inequality

      • Tan Duc Do, A. F. M. ter Elst
      Pages 405-433

    11. Generalized Indefinite Strings with Purely Discrete Spectrum

      • Jonathan Eckhardt, Aleksey Kostenko
      Pages 435-474

    12. Soliton Asymptotics for the KdV Shock Problem of Low Regularity

      • Iryna Egorova, Johanna Michor, Gerald Teschl
      Pages 475-500
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Keywords

About this book

This volume is dedicated to the memory of Sergey Naboko (1950-2020). In addition to original research contributions covering the vast areas of interest of Sergey Naboko, it includes personal reminiscences and comments on the works and legacy of Sergey Naboko’s scientific achievements. Areas from complex analysis to operator theory, especially, spectral theory, are covered, and the papers will inspire current and future researchers in these areas.

Editors and Affiliations

  • School of Computer Science & Informatics, Cardiff University, Cardiff, UK

    Malcolm Brown

  • Department of Mathematics, Baylor University, Waco, USA

    Fritz Gesztesy

  • Department of Mathematics, Stockholm University, Stockholm, Sweden

    Pavel Kurasov

  • Department of Mathematics Imperial College London London, United Kingdom, Sirius Mathematical Center, Sochi, Russia

    Ari Laptev

  • Division of Physics, Mathematics and Astronomy, California Institute of Technology, Pasadena, USA

    Barry Simon

  • Department of Mathematics, University of Alabama at Birmingham, Birmingham, USA

    Gunter Stolz

  • School of Mathematics, Statistics and Actuarial Sciences, University of Kent, Canterbury, UK

    Ian Wood

Bibliographic Information

  • Book Title: From Complex Analysis to Operator Theory: A Panorama

  • Book Subtitle: In Memory of Sergey Naboko

  • Editors: Malcolm Brown, Fritz Gesztesy, Pavel Kurasov, Ari Laptev, Barry Simon, Gunter Stolz, Ian Wood

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-031-31139-0

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-31138-3Published: 23 September 2023

  • Softcover ISBN: 978-3-031-31141-3Due: 05 January 2024

  • eBook ISBN: 978-3-031-31139-0Published: 21 September 2023

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XLVI, 698

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Operator Theory

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