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Harmonic analysis in phase space /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gerald B. Folland
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton Univ Press, 2016.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Harmonic analysis in phase space /  |c by Gerald B. Folland. 
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505 0 |a Cover; Title; Copyright; CONTENTS; PREFACE; Prologue. Some Matters of Notation ; CHAPTER 1. THE HEISENBERG GROUP AND ITS REPRESENTATIONS ; 1. Background from physics ; Hamiltonian mechanics ; Quantum mechanics ; Quantization ; 2. The Heisenberg group ; The automorphisms of the Heisenberg group. 
505 8 |a 3. The Schrödinger representationThe integrated representation ; Twisted convolution ; The uncertainty principle ; 4. The Fourier-Wigner transform; Radar ambiguity functions ; 5. The St one-von Neumann theorem; The group Fourier transform ; 6. The Fock-Bargmann representation; Some motivation and history ; 7. Hermite functions ; 8. The Wigner transform. 
505 8 |a 9. The Laguerre connection 10. The nilmanifold representation ; 11. Postscripts ; CHAPTER 2. QUANTIZATION AND PSEUDODIFFERENTIAL OPERATORS ; 1. The Weyl correspondence ; Covariance properties ; Symbol classes ; Miscellaneous remarks and examples ; 2. The Kohn-Nirenberg correspondence. 
505 8 |a 3. The product formula 4. Basic pseudodifferential theory ; Wave front sets ; 5. The Calderón-Vaillancourt theorems; 6. The sharp Gårding inequality; 7. The Wick and anti-Wick correspondences ; CHAPTER 3. WAVE PACKETS AND WAVE FRONTS ; 1. Wave packet expansions ; 2. A characterization of wave front sets. 
505 8 |a 3. Analyticity and the FBI transform 4. Gabor expansions ; CHAPTER 4. THE METAPLECTIC REPRESENTATION ; 1. Symplectic linear algebra ; 2. Construction of the metaplectic representation ; The Fock model ; 3. The infinitesimal representation. 
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650 0 |a Phase space (Statistical physics) 
650 0 |a Harmonic analysis. 
650 2 |a Fourier Analysis 
650 6 |a Espace des phases (Physique statistique) 
650 6 |a Analyse harmonique. 
650 7 |a MATHEMATICS  |x Functional Analysis.  |2 bisacsh 
650 7 |a Harmonic analysis.  |2 fast  |0 (OCoLC)fst00951490 
650 7 |a Phase space (Statistical physics)  |2 fast  |0 (OCoLC)fst01060409 
653 0 |a Harmonic analysis 
653 0 |a Phase space (Statistical physics) 
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