Symplectic Methods in Harmonic Analysis and in Mathematical Physics

1. Hamiltonian Mechanics in a Nutshell
Maurice A. Gosson

2. The Symplectic Group
Maurice A. Gosson

3. Free Symplectic Matrices
Maurice A. Gosson

4. The Group of Hamiltonian Symplectomorphisms
Maurice A. Gosson

5. Symplectic Capacities
Maurice A. Gosson

6. Uncertainty Principles
Maurice A. Gosson

7. The Metaplectic Group
Maurice A. Gosson

8. Heisenberg–Weyl and Grossmann–Royer Operators
Maurice A. Gosson

9. Cross-ambiguity and Wigner Functions
Maurice A. Gosson

10. The Weyl Correspondence
Maurice A. Gosson

11. Coherent States and Anti-Wick Quantization
Maurice A. Gosson

12. Hilbert–Schmidt and Trace Class Operators
Maurice A. Gosson

13. Density Operator and Quantum States
Maurice A. Gosson

14. Shubin’s Global Operator Calculus
Maurice A. Gosson

15. The Schrödinger Equation
Maurice A. Gosson

16. The Feichtinger Algebra
Maurice A. Gosson

17. The Modulation Spaces M_s^q

Maurice A. Gosson

18. Bopp Pseudo-differential Operators
Maurice A. Gosson

19. Applications of Bopp Quantization
Maurice A. Gosson

Avainsanat: Mathematics, Operator Theory, Partial Differential Equations, Mathematical Physics, Differential Geometry