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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

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