Contents NTRODUCTION PRELIMINARIES AND NOTATION I CHAPTER I: The What, Why, and How of Wavelets C. 1.- CHAPTER 2: The Continuous Wavelet Transform CHAPTER 3: Discrete Wavelet Transforms: frames 107 CHAPTER 4: Time-Frequency Density and Orthonormal Bases 129. CHAPTER 5 Orthonormal Bases of Wavelets and Multiresolution Analysis [67 CHAPTER 6: Orthonormal Bases of Compactly Supported Wavelets 215 CHAPTER 7: More Aboul the Regularity of Compactly Supported Wavelets 251. CHAPTER 8: Symmetry for Compactly Supported Wavelet Bases 2:289 CHAPTER 9: Characterization of Functional Spaces by Means of Wavelets /313. CHAPTER 10: Generalizations and Tricks for Orthonormal Wavelet Bases 2.341 REfERENCES SUBJECT INDEX 355. AUTHOR INDEX