Wavelets, their friends and what they can do for you:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Zürich
European Math. Soc.
2008
|
| Series: | EMS series of lectures in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 109 S. graph. Darst. |
| ISBN: | 9783037190180 |
Staff View
MARC
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| 100 | 1 | |a Mohlenkamp, Martin J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Wavelets, their friends and what they can do for you |c Martin J. Mohlenkamp ; María Cristina Pereyra |
| 264 | 1 | |a Zürich |b European Math. Soc. |c 2008 | |
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| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a EMS series of lectures in mathematics | |
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| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016700429&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Record in the Search Index
| _version_ | 1805082901116616704 |
|---|---|
| adam_text |
Contents
Preface
Preliminaries
1
1.1
Notation
. 1
1.2
Plain bases and unconditional bases
. 1
1.3
Orthogonal bases and frames
. 5
1.4
Orthogonal projections and complements
. 8
Time-frequency analysis
10
2.1
Fourier analysis
. 10
2.2
The windowed Fourier transform and
Gabor
bases
. 18
2.3
Local trigonometric expansions
. 23
2.4
The wavelet transform
. 27
Multiresolution analysis and wavelets
31
3.1
Multiresolution analysis
. 31
3.2
The
Haar
wavelet and
MRA
. 34
3.3
Algorithm: The fast wavelet transform
. 38
3.4
Daubechies style wavelets
. 42
3.5
Other plain wavelets
. 52
Friends, relatives, and mutations of wavelets
54
4.1 Biorthogonal
MRA
and wavelets
. 54
4.2
Multiwavelets
. 60
4.3
Wavelets in 2-D
. 64
4.4
Wavelet packets
. 65
4.5
Second generation wavelets
. 68
4.6
An alternative localization notion and the prolate spheroidal
wave functions
. 75
Assorted applications
77
5.1
Signal/image processing
. 77
5.2
Calculus with wavelets
. 80
5.3
Applications to functional analysis
. 85
5.4
Applications to differential equations
. 88
References and further reading
92
Contents
Internet
references
95
Bibliography
97
Index 107 |
| adam_txt |
Contents
Preface
Preliminaries
1
1.1
Notation
. 1
1.2
Plain bases and unconditional bases
. 1
1.3
Orthogonal bases and frames
. 5
1.4
Orthogonal projections and complements
. 8
Time-frequency analysis
10
2.1
Fourier analysis
. 10
2.2
The windowed Fourier transform and
Gabor
bases
. 18
2.3
Local trigonometric expansions
. 23
2.4
The wavelet transform
. 27
Multiresolution analysis and wavelets
31
3.1
Multiresolution analysis
. 31
3.2
The
Haar
wavelet and
MRA
. 34
3.3
Algorithm: The fast wavelet transform
. 38
3.4
Daubechies style wavelets
. 42
3.5
Other plain wavelets
. 52
Friends, relatives, and mutations of wavelets
54
4.1 Biorthogonal
MRA
and wavelets
. 54
4.2
Multiwavelets
. 60
4.3
Wavelets in 2-D
. 64
4.4
Wavelet packets
. 65
4.5
Second generation wavelets
. 68
4.6
An alternative localization notion and the prolate spheroidal
wave functions
. 75
Assorted applications
77
5.1
Signal/image processing
. 77
5.2
Calculus with wavelets
. 80
5.3
Applications to functional analysis
. 85
5.4
Applications to differential equations
. 88
References and further reading
92
Contents
Internet
references
95
Bibliography
97
Index 107 |
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| isbn | 9783037190180 |
| language | English |
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| spelling | Mohlenkamp, Martin J. Verfasser aut Wavelets, their friends and what they can do for you Martin J. Mohlenkamp ; María Cristina Pereyra Zürich European Math. Soc. 2008 X, 109 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier EMS series of lectures in mathematics Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd rswk-swf Wavelet (DE-588)4215427-3 s DE-604 Pereyra, María Cristina 1964- Verfasser (DE-588)1028023766 aut Erscheint auch als Mohlenkamp, Martin J. Wavelets, their friends and what they can do for you Online-Ausgabe 978-3-03719-518-5 (DE-604)BV036706073 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016700429&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mohlenkamp, Martin J. Pereyra, María Cristina 1964- Wavelets, their friends and what they can do for you Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd |
| subject_GND | (DE-588)4215427-3 |
| title | Wavelets, their friends and what they can do for you |
| title_auth | Wavelets, their friends and what they can do for you |
| title_exact_search | Wavelets, their friends and what they can do for you |
| title_exact_search_txtP | Wavelets, their friends and what they can do for you |
| title_full | Wavelets, their friends and what they can do for you Martin J. Mohlenkamp ; María Cristina Pereyra |
| title_fullStr | Wavelets, their friends and what they can do for you Martin J. Mohlenkamp ; María Cristina Pereyra |
| title_full_unstemmed | Wavelets, their friends and what they can do for you Martin J. Mohlenkamp ; María Cristina Pereyra |
| title_short | Wavelets, their friends and what they can do for you |
| title_sort | wavelets their friends and what they can do for you |
| topic | Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd |
| topic_facet | Wavelets (Mathematics) Wavelet |
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