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Self-Similarity and Multiwavelets in Higher Dimensions.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 2004Copyright date: ©2004Edition: 1st edDescription: 1 online resource (98 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470404086
Subject(s): Genre/Form: Additional physical formats: Print version:: Self-Similarity and Multiwavelets in Higher DimensionsDDC classification:
  • 515.625
LOC classification:
  • QA431 -- .C337 2004eb
Online resources:
Contents:
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.
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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.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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