| Description |
1 online resource (650 p.) |
| Series |
Applied and Numerical Harmonic Analysis |
|
Applied and numerical harmonic analysis.
|
| Contents |
Intro -- ANHA Series Preface -- En guise de préface -- Contents -- Contributors -- The Making of a Physicist -- Alex Grossmann, a Rinascimento Multidisciplinary Man -- 1 A Jubilee of Multifold Research -- 2 Quantum Physics and Related Fields -- 3 Wavelets -- 4 Genomics -- 5 How to Conclude Such a Short But Mind-Boggling Overview? -- 6 Postlude: A Geometric Existentialist Way of Thinking -- Generalized Affine Signal Analysis with Time-Delay Thresholds |
|
Introductory Note on the Draft Paper ̀̀Generalized Affine Signal Analysis with Time-Delay Thresholds'', by Jan W. Dash, Alex Grossmann and Thierry Paul -- 1 Wavelets in the Mid-1980s -- 1.1 The Group-Theoretic View of Wavelets -- 1.2 Overcompleteness Can Be a Virtue -- 1.3 Comments on the First Sentence: ̀̀A Class of Functions Recently Introduced by Dash and Paul ...'' -- 1.4 Phase -- 2 Specific Comments on the Text -- 3 Le Baron de Prony's Overcomplete Set of ̀̀Wavelets à la Neanderthal'' -- 4 Alex -- 5 Addendum/Corrigendum |
|
Alex Grossmann's PhD Thesis (Harvard 1959): Covariant Functions of Quantum Fields -- Table of Contents and Introduction -- Part I Quantum Mechanics and Theoretical Physics -- Alex Grossmann, from Nested Hilbert Spaces to Partial Inner Product Spaces and Wavelets -- 1 Introduction: Some History -- 2 Rigged Hilbert Spaces -- 3 Nested Hilbert Spaces -- 4 Towards Partial Inner Product Spaces -- 5 Operators on PIP-Spaces -- 5.1 General Definitions -- 5.2 Homomorphisms and Orthogonal Projections -- 5.3 Symmetric Operators and Self-Adjointness -- 6 Applications in Quantum Mechanics |
|
6.1 General Formulation -- 6.2 Resonances, Analyticity Properties -- 6.3 Condensed Matter Physics -- 7 The Legacy: Operator Partial Algebras -- 8 Towards 2D Wavelets -- 9 Epilogue -- References -- Combining Quantum Mechanical Languages (A Tribute to Alex Grossmann) -- 1 Introduction -- 2 The kq-Representation -- 3 Bloch-Like Functions -- 4 Phase of the Bloch Function -- 5 kq-Space -- 6 Conclusion -- References -- Alex Grossmann, Scattering Amplitude, Fermi Pseudopotential, and Particle Physics -- 1 Harvard and Scattering Amplitude -- 2 Marseille and Fermi Pseudopotential -- 3 Particle Physics |
| Summary |
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 Grossmanns 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 |
| Analysis |
Physics |
|
Science |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed June 13, 2023) |
| Subject |
Physics.
|
|
Harmonic analysis.
|
|
Wavelets (Mathematics)
|
|
Genomics.
|
|
physics.
|
| Form |
Electronic book
|
| Author |
Grossmann, A. (Alexander), 1930- honouree.
|
|
Flandrin, Patrick.
|
|
Jaffard, Stéphane, 1962-
|
|
Paul, Thierry.
|
|
Torrésani, Bruno.
|
| ISBN |
9783030458478 |
|
3030458474 |
|
