Coherent States, Wavelets, and Their Generalizations

ISBN: 978-1-4614-8534-6 (Print) 978-1-4614-8535-3 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages i-xviii

  2. No Access

    Chapter

    Pages 1-13

    Introduction

  3. No Access

    Chapter

    Pages 15-36

    Canonical Coherent States

  4. No Access

    Chapter

    Pages 37-60

    Positive Operator-Valued Measures and Frames

  5. No Access

    Chapter

    Pages 61-103

    Some Group Theory

  6. No Access

    Chapter

    Pages 105-132

    Hilbert Spaces with Reproducing Kernels and Coherent States

  7. No Access

    Chapter

    Pages 133-164

    Square Integrable and Holomorphic Kernels

  8. No Access

    Chapter

    Pages 165-202

    Covariant Coherent States

  9. No Access

    Chapter

    Pages 203-243

    Coherent States from Square Integrable Representations

  10. No Access

    Chapter

    Pages 245-269

    CS of General Semidirect Product Groups

  11. No Access

    Chapter

    Pages 271-304

    CS of the Relativity Groups

  12. No Access

    Chapter

    Pages 305-345

    Integral Quantization

  13. No Access

    Chapter

    Pages 347-377

    Wavelets

  14. No Access

    Chapter

    Pages 379-410

    Discrete Wavelet Transforms

  15. No Access

    Chapter

    Pages 411-456

    Multidimensional Wavelets and Generalizations

  16. No Access

    Chapter

    Pages 457-493

    Wavelets on Manifolds

  17. No Access

    Chapter

    Pages 495-513

    Wavelets Related to Affine Groups

  18. No Access

    Chapter

    Pages 515-536

    The Discretization Problem: Frames, Sampling, and All That

  19. No Access

    Chapter

    Pages 537-539

    Conclusion and Outlook

  20. Back Matter

    Pages 541-577