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Frames, bases, and group representations / / Deguang Han, David R. Larson
| Frames, bases, and group representations / / Deguang Han, David R. Larson |
| Autore | Han Deguang <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (111 p.) |
| Disciplina |
510 s
515/.63 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Frames (Vector analysis)
Operator theory Wavelets (Mathematics) Representations of groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0288-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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:"" ""7.2. A Joint Project with Pete Casazza""""7.3. A Matrix Completion Characterization of Frames""; ""7.4. Some Acknowledgements""; ""7.5. Density and Connectivity of Gabor Type Frames""; ""Bibliography"" |
| Record Nr. | UNINA-9910480869903321 |
Han Deguang <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Frames, bases, and group representations / / Deguang Han, David R. Larson
| Frames, bases, and group representations / / Deguang Han, David R. Larson |
| Autore | Han Deguang <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (111 p.) |
| Disciplina |
510 s
515/.63 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Frames (Vector analysis)
Operator theory Wavelets (Mathematics) Representations of groups |
| ISBN | 1-4704-0288-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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:"" ""7.2. A Joint Project with Pete Casazza""""7.3. A Matrix Completion Characterization of Frames""; ""7.4. Some Acknowledgements""; ""7.5. Density and Connectivity of Gabor Type Frames""; ""Bibliography"" |
| Record Nr. | UNINA-9910788841603321 |
|
Han Deguang <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Frames, bases, and group representations / / Deguang Han, David R. Larson
| Frames, bases, and group representations / / Deguang Han, David R. Larson |
| Autore | Han Deguang <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2000 |
| Descrizione fisica | 1 online resource (111 p.) |
| Disciplina |
510 s
515/.63 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Frames (Vector analysis)
Operator theory Wavelets (Mathematics) Representations of groups |
| ISBN | 1-4704-0288-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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:"" ""7.2. A Joint Project with Pete Casazza""""7.3. A Matrix Completion Characterization of Frames""; ""7.4. Some Acknowledgements""; ""7.5. Density and Connectivity of Gabor Type Frames""; ""Bibliography"" |
| Record Nr. | UNINA-9910812748303321 |
|
Han Deguang <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2000 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator-valued measures, dilations, and the theory of frames / / Deguang Han, David R. Larson, Bei Liu, Rui Liu
| Operator-valued measures, dilations, and the theory of frames / / Deguang Han, David R. Larson, Bei Liu, Rui Liu |
| Autore | Han Deguang <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina | 512/.556 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Vector-valued measures
Operator spaces Von Neumann algebras Operator theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1529-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Preliminaries""; ""1.1. Frames""; ""1.2. Operator-valued Measures""; ""Chapter 2. Dilation of Operator-valued Measures""; ""2.1. Basic Definitions""; ""2.2. Dilation Spaces and Dilations""; ""2.3. Elementary Dilation Spaces""; ""2.4. The Minimal Dilation Norm |â??|_{ }""; ""2.5. The Dual Space of the Minimal Dilation Space""; ""2.6. The Maximal Dilation Norm |â??|_{ }""; ""Chapter 3. Framings and Dilations""; ""3.1. Hilbertian Dilations""; ""3.2. Operator-Valued Measures Induced by Discrete Framings""
""3.3. Operator-Valued Measures Induced by Continuous Frames""""Chapter 4. Dilations of Maps""; ""4.1. Algebraic Dilations""; ""4.2. The Commutative Case""; ""4.3. The Noncommutative Case""; ""Chapter 5. Examples""; ""Bibliography"" |
| Record Nr. | UNINA-9910480229203321 |
|
Han Deguang <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator-valued measures, dilations, and the theory of frames / / Deguang Han, David R. Larson, Bei Liu, Rui Liu
| Operator-valued measures, dilations, and the theory of frames / / Deguang Han, David R. Larson, Bei Liu, Rui Liu |
| Autore | Han Deguang <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina | 512/.556 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Vector-valued measures
Operator spaces Von Neumann algebras Operator theory |
| ISBN | 1-4704-1529-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Preliminaries""; ""1.1. Frames""; ""1.2. Operator-valued Measures""; ""Chapter 2. Dilation of Operator-valued Measures""; ""2.1. Basic Definitions""; ""2.2. Dilation Spaces and Dilations""; ""2.3. Elementary Dilation Spaces""; ""2.4. The Minimal Dilation Norm |â??|_{ }""; ""2.5. The Dual Space of the Minimal Dilation Space""; ""2.6. The Maximal Dilation Norm |â??|_{ }""; ""Chapter 3. Framings and Dilations""; ""3.1. Hilbertian Dilations""; ""3.2. Operator-Valued Measures Induced by Discrete Framings""
""3.3. Operator-Valued Measures Induced by Continuous Frames""""Chapter 4. Dilations of Maps""; ""4.1. Algebraic Dilations""; ""4.2. The Commutative Case""; ""4.3. The Noncommutative Case""; ""Chapter 5. Examples""; ""Bibliography"" |
| Record Nr. | UNINA-9910787197003321 |
|
Han Deguang <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Operator-valued measures, dilations, and the theory of frames / / Deguang Han, David R. Larson, Bei Liu, Rui Liu
| Operator-valued measures, dilations, and the theory of frames / / Deguang Han, David R. Larson, Bei Liu, Rui Liu |
| Autore | Han Deguang <1959-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2013 |
| Descrizione fisica | 1 online resource (98 p.) |
| Disciplina | 512/.556 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Vector-valued measures
Operator spaces Von Neumann algebras Operator theory |
| ISBN | 1-4704-1529-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Introduction""; ""Chapter 1. Preliminaries""; ""1.1. Frames""; ""1.2. Operator-valued Measures""; ""Chapter 2. Dilation of Operator-valued Measures""; ""2.1. Basic Definitions""; ""2.2. Dilation Spaces and Dilations""; ""2.3. Elementary Dilation Spaces""; ""2.4. The Minimal Dilation Norm |â??|_{ }""; ""2.5. The Dual Space of the Minimal Dilation Space""; ""2.6. The Maximal Dilation Norm |â??|_{ }""; ""Chapter 3. Framings and Dilations""; ""3.1. Hilbertian Dilations""; ""3.2. Operator-Valued Measures Induced by Discrete Framings""
""3.3. Operator-Valued Measures Induced by Continuous Frames""""Chapter 4. Dilations of Maps""; ""4.1. Algebraic Dilations""; ""4.2. The Commutative Case""; ""4.3. The Noncommutative Case""; ""Chapter 5. Examples""; ""Bibliography"" |
| Record Nr. | UNINA-9910809133503321 |
|
Han Deguang <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||