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Record Nr. |
UNINA9910480986003321 |
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Autore |
Cabrelli Carlos A <1949-> |
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Titolo |
Self-similarity and multiwavelets in higher dimension / / Carlos A. Cabrelli, Christopher Heil, Ursula M. Molter |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2004 |
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©2004 |
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ISBN |
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Descrizione fisica |
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1 online resource (98 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 170, Number 807 |
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Disciplina |
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Soggetti |
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Difference equations |
Functional equations |
Inequalities (Mathematics) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 170, Number 807 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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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