Frames, bases and group representations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2000
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
697 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 147, Number 697 (first of 4 numbers) |
| Beschreibung: | IX, 94 S. |
| ISBN: | 0821820672 |
Internformat
MARC
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| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2000 | |
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 697 | |
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Datensatz im Suchindex
| _version_ | 1804128141477675008 |
|---|---|
| adam_text | Contents
Abstract jx
Introduction 1
Chapter 1. Basic Theory for Frames 5
1.1. A Dilation Viewpoint on Frames 5
1.2. The Canonical Dual Frame 14
1.3. Alternate Dual Frames 16
Chapter 2. Complementary Frames and Disjointness 21
2.1. Strong Disjointness, Disjointness and Weak Disjointness 21
2.2. Characterizations of Equivalence and Disjointness 24
2.3. Cuntz Algebra Generators 29
2.4. More on Alternate Duals 30
Chapter 3. Frame Vectors for Unitary Systems 39
3.1. The Local Commutant and Frame Vectors 39
3.2. Dilation Theorems for Frame Vectors 42
3.3. Equivalence Classes of Frame Vectors 47
Chapter 4. Gabor Type Unitary Systems 49
Chapter 5. Frame Wavelets, Super wavelets and Frame Sets 55
5.1. Frame Sets 55
5.2. Super wavelets 58
5.3. A Characterization of Super wavelets 65
5.4. Some Frazier Jawerth Frames 66
5.5. MRA Super wavelets 70
5.6. Interpolation Theory 73
Chapter 6. Frame Representations for Groups 79
6.1. Basics 79
6.2. Frame Multiplicity 80
6.3. Parameterizations of Frame Vectors 84
6.4. Disjoint Group Representations 86
Chapter 7. Concluding Remarks 89
7.1. Spectral families of frames: 89
7.2. A Joint Project with Pete Casazza 90
7.3. A Matrix Completion Characterization of Frames 90
7.4. Some Acknowledgements 90
7.5. Density and Connectivity of Gabor Type Frames 91
vii
viii CONTENTS
Bibliography 93
|
| any_adam_object | 1 |
| author | Han, Deguang 1959- Larson, David R. 1942- |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
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| dewey-search | 510 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV013363928 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:44:31Z |
| institution | BVB |
| isbn | 0821820672 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009115320 |
| oclc_num | 247282026 |
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| owner_facet | DE-355 DE-BY-UBR DE-29T DE-739 DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | IX, 94 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Han, Deguang 1959- Verfasser (DE-588)173409253 aut Frames, bases and group representations Deguang Han ; David R. Larson Providence, RI American Math. Soc. 2000 IX, 94 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 697 Volume 147, Number 697 (first of 4 numbers) Operatortheorie (DE-588)4075665-8 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Frame-Theorie (DE-588)4122147-3 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Operatortheorie (DE-588)4075665-8 s DE-604 Wavelet (DE-588)4215427-3 s Gruppentheorie (DE-588)4072157-7 s Darstellungstheorie (DE-588)4148816-7 s Frame-Theorie (DE-588)4122147-3 s Larson, David R. 1942- Verfasser (DE-588)173222242 aut American Mathematical Society: Memoirs of the American Mathematical Society 697 (DE-604)BV008000141 697 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009115320&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Han, Deguang 1959- Larson, David R. 1942- Frames, bases and group representations American Mathematical Society: Memoirs of the American Mathematical Society Operatortheorie (DE-588)4075665-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd Frame-Theorie (DE-588)4122147-3 gnd Gruppentheorie (DE-588)4072157-7 gnd Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4075665-8 (DE-588)4148816-7 (DE-588)4122147-3 (DE-588)4072157-7 (DE-588)4215427-3 |
| title | Frames, bases and group representations |
| title_auth | Frames, bases and group representations |
| title_exact_search | Frames, bases and group representations |
| title_full | Frames, bases and group representations Deguang Han ; David R. Larson |
| title_fullStr | Frames, bases and group representations Deguang Han ; David R. Larson |
| title_full_unstemmed | Frames, bases and group representations Deguang Han ; David R. Larson |
| title_short | Frames, bases and group representations |
| title_sort | frames bases and group representations |
| topic | Operatortheorie (DE-588)4075665-8 gnd Darstellungstheorie (DE-588)4148816-7 gnd Frame-Theorie (DE-588)4122147-3 gnd Gruppentheorie (DE-588)4072157-7 gnd Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Operatortheorie Darstellungstheorie Frame-Theorie Gruppentheorie Wavelet |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009115320&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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