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Birkhäuser

Theoretical Physics, Wavelets, Analysis, Genomics

An Indisciplinary Tribute to Alex Grossmann

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  • © 2023

Overview

Editors:
  1. Patrick Flandrin

    1. Laboratoire de Physique, Université Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Lyon, France

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  2. Stéphane Jaffard

    1. Mathematics, Université Paris Est Créteil, Créteil, France

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  3. Thierry Paul

    1. Sorbonne Université, CNRS, Université Paris Cité, Laboratoire Jacques-Louis Lions (LJLL), Paris, France

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  4. Bruno Torresani

    1. Mathematics, Université d’Aix-Marseille, Marseille, France

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  • Highlights the interdisciplinary nature of Grossmann's work and the impact he has had on several fields
  • Includes a scientific biography of Grossmann, as well as a more personal one written by his son
  • Features contributions from leading figures in mathematics, physics, and biology

Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)

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Table of contents (26 chapters)

  1. Front Matter

    Pages i-xix
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  2. The Making of a Physicist

    • Michael Grossmann
    Pages 1-14

  3. Alex Grossmann, a Rinascimento Multidisciplinary Man

    • Thierry Paul
    Pages 15-21

  4. Generalized Affine Signal Analysis with Time-Delay Thresholds

    • Jan W. Dash, Alex Grossmann, Thierry Paul
    Pages 23-43

  5. Introductory Note on the Draft Paper “Generalized Affine Signal Analysis with Time-Delay Thresholds”, by Jan W. Dash, Alex Grossmann and Thierry Paul

    • Jan W. Dash, Thierry Paul
    Pages 45-50

  6. Alex Grossmann’s PhD Thesis (Harvard 1959): Covariant Functions of Quantum Fields - Table of Contents and Introduction

    • Alex Grossmann
    Pages 51-60

  7. Quantum Mechanics and Theoretical Physics

    1. Front Matter

      Pages 61-61
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    2. Alex Grossmann, from Nested Hilbert Spaces to Partial Inner Product Spaces and Wavelets

      • Jean-Pierre Antoine
      Pages 63-79

    3. Combining Quantum Mechanical Languages (A Tribute to Alex Grossmann)

      • Joshua Zak
      Pages 81-96

    4. Alex Grossmann, Scattering Amplitude, Fermi Pseudopotential, and Particle Physics

      • Tai Tsun Wu
      Pages 97-103

    5. Sixty Years of Hadronic Vacuum Polarization

      • Eduardo de Rafael
      Pages 105-125

    6. Standard Model, and Its Standard Problems

      • Chris P. Korthals Altes
      Pages 127-167

    7. SU(3) Higher Roots and Their Lattices

      • Robert Coquereaux
      Pages 169-193

    8. Quantum Field Theory with Dynamical Boundary Conditions and the Casimir Effect

      • Benito A. Juárez-Aubry, Ricardo Weder
      Pages 195-238

    9. Where Is a Photon in an Interferometer?

      • Yosi Avron
      Pages 239-246

    10. About the Derivation of the Quasilinear Approximation in Plasma Physics

      • Claude Bardos, Nicolas Besse
      Pages 247-279

    11. Analysing the Scattering of Electromagnetic Ultra-wideband Pulses from Large-Scale Objects by the Use of Wavelets

      • François Bentosela
      Pages 281-305

    12. Species of Spaces

      • Thierry Paul
      Pages 307-386

  8. Wavelets and Mathematical Analysis

    1. Front Matter

      Pages 387-387
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    2. Curved Model Sets and Crystalline Measures

      • Yves Meyer
      Pages 389-407
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Keywords

About this book

Over the course of a scientific career spanning more than fifty years, Alex Grossmann (1930-2019) made many important contributions to a wide range of areas including, among others, mathematics, numerical analysis, physics, genetics, and biology.  His lasting influence can be seen not only in his research and numerous publications, but also through the relationships he cultivated with his collaborators and students.  This edited volume features chapters written by some of these colleagues, as well as researchers whom Grossmann’s work and way of thinking has impacted in a decisive way.  Reflecting the diversity of his interests and their interdisciplinary nature, these chapters explore a variety of current topics in quantum mechanics, elementary particles, and theoretical physics; wavelets and mathematical analysis; and genomics and biology.  A scientific biography of Grossmann, along with a more personal biography written by his son, serve as an introduction.  Also included are the introduction to his PhD thesis and an unpublished paper coauthored by him.  Researchers working in any of the fields listed above will find this volume to be an insightful and informative work.




Editors and Affiliations

  • Laboratoire de Physique, Université Lyon, ENS de Lyon, Université Claude Bernard, CNRS, Lyon, France

    Patrick Flandrin

  • Mathematics, Université Paris Est Créteil, Créteil, France

    Stéphane Jaffard

  • Sorbonne Université, CNRS, Université Paris Cité, Laboratoire Jacques-Louis Lions (LJLL), Paris, France

    Thierry Paul

  • Mathematics, Université d’Aix-Marseille, Marseille, France

    Bruno Torresani

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