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Birkhäuser

Analysis as a Tool in Mathematical Physics

In Memory of Boris Pavlov

  • Book
  • © 2020

Overview

Editors:
  1. Pavel Kurasov

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

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  2. Ari Laptev

    1. Institut Mittag-Leffler, Djursholm, Sweden

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  3. Sergey Naboko

    1. Department of Mathematical Physics, St. Petersburg State University, St. Petersburg, Russia

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  4. Barry Simon

    1. Department of Mathematics, California Institute of Technology, Pasadena, USA

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  • Collects research papers originating from two conferences that were organized in memory of Boris Pavlov
  • Includes water-color paintings by Boris Pavlov and some personal photographs
  • Contains research papers from specialists in their fields

Part of the book series: Operator Theory: Advances and Applications (OT, volume 276)

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Table of contents (32 chapters)

  1. Front Matter

    Pages i-xii
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  2. Boris Pavlov: Life and Mathematics

    1. Front Matter

      Pages 1-1
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    2. Curriculum Vitae

      • Pavel Kurasov, Ari Laptev, Sergey Naboko, Barry Simon
      Pages 3-29

    3. Pavlov’s Mathematics

      • Pavel Kurasov, Ari Laptev, Sergey Naboko, Barry Simon
      Pages 31-32

    4. Zero-range potentials with internal structure and solvable models

      • V. M. Adamyan
      Pages 33-36

    5. Pavlov’s perturbations

      • Sergey Khrushchev
      Pages 37-39

    6. Boris Pavlov and bases, as I remember them

      • Nikolai Nikolski
      Pages 41-51

    7. The work of Pavlov on shift operators on a Riemann surface

      • Victor Vinnikov
      Pages 52-60

  3. Research Papers

    1. Front Matter

      Pages 61-61
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    2. Singular perturbations of unbounded selfadjoint operators Reverse approach

      • V. M. Adamyan
      Pages 63-79

    3. Generic asymptotics of resonance counting function for Schrödinger point interactions

      • Sergio Albeverio, Illya M. Karabash
      Pages 80-93

    4. Spectral clusters, asymmetric spaces, and boundary control for Schrödinger equation with strong singularities

      • Sergei Avdonin, Julian Edward
      Pages 94-119

    5. The second Weyl coefficient for a first order system

      • Zhirayr Avetisyan, Johannes Sjöstrand, Dmitri Vassiliev
      Pages 120-153

    6. A Lieb–Thirring type inequality for magnetic Schrödinger operators with a radial symmetry

      • Diana Barseghyan, Françoise Truc
      Pages 154-161

    7. Scattering matrices and Weyl functions of quasi boundary triples

      • Jussi Behrndt, Hagen Neidhardt
      Pages 162-182

    8. On the spectrum of the quantum Rabi model

      • Anne Boutet de Monvel, Lech Zielinski
      Pages 183-193

    9. Scattering theory for a class of non-selfadjoint extensions of symmetric operators

      • Kirill D. Cherednichenko, Alexander V. Kiselev, Luis O. Silva
      Pages 194-230

    10. Asymptotics of Chebyshev Polynomials, III. Sets Saturating Szegő, Schiefermayr, and Totik–Widom Bounds

      • Jacob S. Christiansen, Barry Simon, Maxim Zinchenko
      Pages 231-246

    11. Solvability and complex limit bicharacteristics

      • Nils Dencker
      Pages 247-276

    12. Quantization of Gaussians

      • Jan Dereziński, Maciej Karczmarczyk
      Pages 277-304
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Keywords

About this book

Boris Pavlov (1936-2016), to whom this volume is dedicated, was a prominent specialist in analysis, operator theory, and mathematical physics. As one of the most influential members of the St. Petersburg Mathematical School, he was one of the founders of the Leningrad School of Non-self-adjoint Operators. 

This volume collects research papers originating from two conferences that were organized in memory of Boris Pavlov: “Spectral Theory and Applications”, held in Stockholm, Sweden, in March 2016, and “Operator Theory, Analysis and Mathematical Physics – OTAMP2016” held at the Euler Institute in St. Petersburg, Russia, in August 2016. The volume also includes water-color paintings by Boris Pavlov, some personal photographs, as well as tributes from friends and colleagues.

Editors and Affiliations

  • Department of Mathematics, Stockholm University, Stockholm, Sweden

    Pavel Kurasov

  • Institut Mittag-Leffler, Djursholm, Sweden

    Ari Laptev

  • Department of Mathematical Physics, St. Petersburg State University, St. Petersburg, Russia

    Sergey Naboko

  • Department of Mathematics, California Institute of Technology, Pasadena, USA

    Barry Simon

Bibliographic Information

  • Book Title: Analysis as a Tool in Mathematical Physics

  • Book Subtitle: In Memory of Boris Pavlov

  • Editors: Pavel Kurasov, Ari Laptev, Sergey Naboko, Barry Simon

  • Series Title: Operator Theory: Advances and Applications

  • DOI: https://doi.org/10.1007/978-3-030-31531-3

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: Springer Nature Switzerland AG 2020

  • Hardcover ISBN: 978-3-030-31530-6Published: 15 July 2020

  • Softcover ISBN: 978-3-030-31533-7Published: 26 August 2021

  • eBook ISBN: 978-3-030-31531-3Published: 14 July 2020

  • Series ISSN: 0255-0156

  • Series E-ISSN: 2296-4878

  • Edition Number: 1

  • Number of Pages: XII, 627

  • Number of Illustrations: 15 b/w illustrations, 14 illustrations in colour

  • Topics: Operator Theory, Mathematical Physics

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