Coherent States, Wavelets, and Their Generalizations

1. Introduction
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

2. Canonical Coherent States
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

3. Positive Operator-Valued Measures and Frames
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

4. Some Group Theory
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

5. Hilbert Spaces with Reproducing Kernels and Coherent States
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

6. Square Integrable and Holomorphic Kernels
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

7. Covariant Coherent States
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

8. Coherent States from Square Integrable Representations
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

9. CS of General Semidirect Product Groups
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

10. CS of the Relativity Groups
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

11. Integral Quantization
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

12. Wavelets
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

13. Discrete Wavelet Transforms
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

14. Multidimensional Wavelets and Generalizations
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

15. Wavelets on Manifolds
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

16. Wavelets Related to Affine Groups
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

17. The Discretization Problem: Frames, Sampling, and All That
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

18. Conclusion and Outlook
Syed Twareque Ali, Jean-Pierre Antoine, Jean-Pierre Gazeau

Keywords: Physics, Quantum Physics, Group Theory and Generalizations, Quantum Information Technology, Spintronics