Cover -- Title page -- Chapter 1. Introduction -- 1.1. Wavelets and Wavelet Sets -- 1.2. Scaling Sets -- 1.3. Self-Affine Tiles -- 1.4. Main Results -- Chapter 2. Preliminary Results -- Chapter 3. A sufficient condition for a self-affine tile to be an MRA scaling set -- Chapter 4. Characterization of the inclusion âŠ? -- Chapter 5. Self-affine scaling sets in â??²: the case 0â?? -- 5.1. The case = â?? -- 5.2. The case = â?? -- 5.3. The case = â?? -- 5.4. The case =- â?? -- 5.5. The case = â?? -- 5.6. The case =- â??
Chapter 6. Self-affine scaling sets in â??²: the case ={ â??, â??}âŠ?â??²6.1. The case = â?? -- 6.2. The case = â?? -- 6.3. The case = â??, -- â??, â??, -- â?? -- Chapter 7. Conclusion -- Bibliography -- Index -- Back Cover