A mathematical introduction to wavelets:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
1997
|
| Edition: | 1. publ. |
| Series: | London Mathematical Society: London Mathematical Society student texts
37 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 261 S. |
| ISBN: | 9780521570206 0521570204 9780521578943 0521578949 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface page vii
1 A small sample 1
1.1 The Haar wavelet 1
1.2 The Stromberg wavelet 5
2 General constructions 17
2.1 Basic concepts 17
2.2 Multiresolution analyses 20
2.3 From scaling function to multiresolution analysis 26
2.4 Construction of wavelets 32
2.5 Periodic wavelets 38
3 Some important wavelets 46
3.1 What to look for in a wavelet? 46
3.2 Meyer s wavelets 49
3.3 Spline wavelets 51
3.3.1 Spline functions. 52
3.3.2 Spline wavelets 56
3.3.3 Exponential decay of spline wavelets 58
3.3.4 Exponential decay of spline wavelets another approach 61
3.4 Unimodular wavelets 65
4 Compactly supported wavelets 75
4.1 General constructions 75
4.2 Smooth wavelets 83
4.3 Bare hands construction 90
5 Multivariable wavelets 101
5.1 Tensor products 102
5.1.1 Multidimensional notation 105
5.2 Multiresolution analyses 106
5.3 Examples of multiresolution analyses 120
v
vi Contents
6 Function spaces 140
6.1 Lp spaces 140
6.2 BMO and Hx 148
7 Unconditional convergence 168
7.1 Unconditional convergence of series 168
7.2 Unconditional bases 173
7.3 Unconditional convergence in Lv spaces 175
8 Wavelet bases in Lp and Hi 181
8.1 Projections associated with a multiresolution analysis 182
8.2 Unconditional bases in Lp and Hi 191
8.3 Haar wavelets 198
8.4 Polynomial bases 207
9 Wavelets and smoothness of functions 216
9.1 Modulus of continuity 216
9.2 Multiresolution analyses and moduli of continuity 222
9.3 Compression of wavelet decompositions 231
Appendix 239
Bibliography 254
Index 260
|
| any_adam_object | 1 |
| author | Wojtaszczyk, Przemysław 1940- |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:10:04Z |
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| isbn | 9780521570206 0521570204 9780521578943 0521578949 |
| language | English |
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| physical | XII, 261 S. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society: London Mathematical Society student texts |
| series2 | London Mathematical Society: London Mathematical Society student texts |
| spelling | Wojtaszczyk, Przemysław 1940- Verfasser (DE-588)143778927 aut A mathematical introduction to wavelets P. Wojtaszczyk 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1997 XII, 261 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society: London Mathematical Society student texts 37 Ondelettes SÉRIES ORTOGONAIS larpcal Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd rswk-swf Wavelet (DE-588)4215427-3 s DE-604 London Mathematical Society: London Mathematical Society student texts 37 (DE-604)BV000841726 37 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007706127&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wojtaszczyk, Przemysław 1940- A mathematical introduction to wavelets London Mathematical Society: London Mathematical Society student texts Ondelettes SÉRIES ORTOGONAIS larpcal Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4215427-3 |
| title | A mathematical introduction to wavelets |
| title_auth | A mathematical introduction to wavelets |
| title_exact_search | A mathematical introduction to wavelets |
| title_full | A mathematical introduction to wavelets P. Wojtaszczyk |
| title_fullStr | A mathematical introduction to wavelets P. Wojtaszczyk |
| title_full_unstemmed | A mathematical introduction to wavelets P. Wojtaszczyk |
| title_short | A mathematical introduction to wavelets |
| title_sort | a mathematical introduction to wavelets |
| topic | Ondelettes SÉRIES ORTOGONAIS larpcal Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Ondelettes SÉRIES ORTOGONAIS Wavelets (Mathematics) Wavelet |
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