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Record Nr. |
UNINA9910788841603321 |
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Autore |
Han Deguang <1959-> |
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Titolo |
Frames, bases, and group representations / / Deguang Han, David R. Larson |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2000 |
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ISBN |
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Descrizione fisica |
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1 online resource (111 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 697 |
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Disciplina |
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Soggetti |
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Frames (Vector analysis) |
Operator theory |
Wavelets (Mathematics) |
Representations of groups |
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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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"September 2000, volume 147, number 697 (first of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 93-94). |
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Nota di contenuto |
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""Contents""; ""Abstract""; ""Introduction""; ""Chapter 1. Basic Theory for Frames""; ""1.1. A Dilation Viewpoint on Frames""; ""1.2. The Canonical Dual Frame""; ""1.3. Alternate Dual Frames""; ""Chapter 2. Complementary Frames and Disjointness""; ""2.1. Strong Disjointness, Disjointness and Weak Disjointness""; ""2.2. Characterizations of Equivalence and Disjointness""; ""2.3. Cuntz Algebra Generators""; ""2.4. More on Alternate Duals""; ""Chapter 3. Frame Vectors for Unitary Systems""; ""3.1. The Local Commutant and Frame Vectors""; ""3.2. Dilation Theorems for Frame Vectors"" |
""3.3. Equivalence Classes of Frame Vectors""""Chapter 4. Gabor Type Unitary Systems""; ""Chapter 5. Frame Wavelets, Super-wavelets and Frame Sets""; ""5.1. Frame Sets""; ""5.2. Super-wavelets""; ""5.3. A Characterization of Super-wavelets""; ""5.4. Some Frazier-Jawerth Frames""; ""5.5. MRA Super-wavelets""; ""5.6. Interpolation Theory""; ""Chapter 6. Frame Representations for Groups""; ""6.1. Basics""; ""6.2. Frame Multiplicity""; ""6.3. Parameterizations of Frame Vectors""; ""6.4. Disjoint Group Representations""; ""Chapter 7. Concluding Remarks""; ""7.1. Spectral families of frames:"" |
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