Abstract
Contents § 1. Introduction § 2. Notation and definitions § 3. Prototypes of wavelets in Calderón's and Luzin's papers § 4. The Gabor transform § 5. The windowed Fourier transform § 6. The integral wavelet transform § 7. Dyadic wavelets and inversion formulae § 8. Frames § 9. Wavelet series § 10. The Haar system on the real line § 11. Multiresolution analysis in § 12. The Whittaker-Shannon-Kotel'nikov system § 13. Uncertainty constants § 14. Meyer wavelets § 15. Lemarié-Battle and Strömberg wavelets § 16. Orthogonal compactly supported wavelets § 17. Fast algorithms § 18. Semi-orthogonal compactly supported spline wavelets § 19. Regular multiresolution analyses in § 20. Bernstein inequalities § 21. Regular multiresolution analyses and polynomials § 22. Multiresolution analyses in Sobolev spaces § 23. The operators § 24. Besov spaces § 25. The projections and pseudo-differential operators § 26. A wavelet characterization of the Hölder spaces , the Sobolev spaces , and the Besov spaces § 27. A wavelet characterization of the spaces and BMO § 28. A wavelet characterization of the spaces and § 29. Periodic waveletsBibliography
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