Cabrelli, Carlos A. <br/><br/>
Self-Similarity and Multiwavelets in Higher Dimensions. 

 - 1st ed. 
 - 1 online resource (98 pages) 
 - Memoirs of the American Mathematical Society ;  v.170 .
 - Memoirs of the American Mathematical Society .
<br/><br/>Intro -- Contents -- Acknowledgments -- Chapter 1. Introduction -- 1.1. Description of Results -- 1.2. A Historical Overview -- Chapter 2. Matrices, Tiles and the Joint Spectral Radius -- 2.1. Miscellaneous Notation -- 2.2. Attractors and Tiles -- 2.3. Matrix Form of the Refinement Operator -- 2.4. The Joint Spectral Radius -- Chapter 3. Generalized Self-Similarity and the Refinement Equation -- 3.1. Generalized Self-Similarity -- 3.2. Sufficient Conditions for the Existence of Vector Scaling Functions -- 3.3. Continuous Solutions and the Support of the Refinement Equation Coefficients -- 3.4. Higher-Order Accuracy -- 3.5. Invariant Subspaces -- 3.6. Necessary Conditions for the Existence of Continuous Vector Scaling Functions -- 3.7. Holder Continuity -- Chapter 4. Multiresolution Analysis -- 4.1. Multiresolution Analysis -- 4.2. Wavelets Associated with a Multiresolution Analysis -- Chapter 5. Examples -- 5.1. Numerical Estimates of the Joint Spectral Radius -- 5.2. The Kovacevic-Vetterli Scaling Function -- 5.3. Nonseparable Quincunx Multiwavelets -- Bibliography -- Appendix A. Index of Symbols. 
<br/><br/><label>ISBN: </label>9781470404086 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Difference equations.<br/>Functional equations.<br/>Inequalities (Mathematics).
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA431 -- .C337 2004eb 
<br/><br/><label>Dewey Class. No.: </label>515.625