An introduction to wavelets through linear algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1999
|
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 501 S. Ill., graph. Darst. |
| ISBN: | 0387986391 |
Internformat
MARC
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| 100 | 1 | |a Frazier, Michael W. |d 1956- |e Verfasser |0 (DE-588)121274667 |4 aut | |
| 245 | 1 | 0 | |a An introduction to wavelets through linear algebra |c Michael W. Frazier |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1999 | |
| 300 | |a XVI, 501 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Undergraduate texts in mathematics | |
| 650 | 4 | |a Wavelet - Lineare Algebra | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface v
Acknowledgments xi
Prologue: Compression of the FBI Fingerprint Files 1
1 Background: Complex Numbers and Linear Algebra 7
1.1 Real Numbers and Complex Numbers 7
1.2 Complex Series, Euler s Formula, and the Roots of
Unity 16
1.3 Vector Spaces and Bases 29
1.4 Linear Transformations, Matrices, and Change of
Basis 40
1.5 Diagonalization of Linear Transformations and
Matrices 56
1.6 Inner Products, Orthonormal Bases, and Unitary
Matrices 79
2 The Discrete Fourier Transform 101
2.1 Basic Properties of the Discrete Fourier Transform . 101
2.2 Translation Invariant Linear Transformations .... 128
XV
Xvi Contents
2.3 The Fast Fourier Transform 151
3 Wavelets on ZN 165
3.1 Construction of Wavelets on ZN: The First Stage . . 165
3.2 Construction of Wavelets on ZN: The Iteration Step . 196
3.3 Examples and Applications 225
4 Wavelets on Z 265
4.1 f(Z) 265
4.2 Complete Orthonormal Sets in Hilbert Spaces .... 271
4.3 L2([ ;r,jr)) and Fourier Series 279
4.4 The Fourier Transform and Convolution on t2(Z) . . 298
4.5 First Stage Wavelets on Z 309
4.6 The Iteration Step for Wavelets on Z 321
4.7 Implementation and Examples 330
5 Wavelets on R 349
5.1 L2(R) and Approximate Identities 349
5.2 The Fourier Transform on R 362
5.3 Multiresolution Analysis and Wavelets 380
5.4 Construction of Multiresolution Analyses 398
5.5 Wavelets with Compact Support and Their
Computation 429
6 Wavelets and Differential Equations 451
6.1 The Condition Number of a Matrix 451
6.2 Finite Difference Methods for Differential
Equations 459
6.3 Wavelet Galerkin Methods for Differential
Equations 470
Bibliography 484
Index 491
|
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| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| indexdate | 2024-07-09T18:28:27Z |
| institution | BVB |
| isbn | 0387986391 |
| language | English |
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| spelling | Frazier, Michael W. 1956- Verfasser (DE-588)121274667 aut An introduction to wavelets through linear algebra Michael W. Frazier New York [u.a.] Springer 1999 XVI, 501 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Wavelet - Lineare Algebra Algebras, Linear Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Wavelet (DE-588)4215427-3 s Lineare Algebra (DE-588)4035811-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008475829&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Frazier, Michael W. 1956- An introduction to wavelets through linear algebra Wavelet - Lineare Algebra Algebras, Linear Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4215427-3 (DE-588)4035811-2 (DE-588)4151278-9 |
| title | An introduction to wavelets through linear algebra |
| title_auth | An introduction to wavelets through linear algebra |
| title_exact_search | An introduction to wavelets through linear algebra |
| title_full | An introduction to wavelets through linear algebra Michael W. Frazier |
| title_fullStr | An introduction to wavelets through linear algebra Michael W. Frazier |
| title_full_unstemmed | An introduction to wavelets through linear algebra Michael W. Frazier |
| title_short | An introduction to wavelets through linear algebra |
| title_sort | an introduction to wavelets through linear algebra |
| topic | Wavelet - Lineare Algebra Algebras, Linear Wavelets (Mathematics) Wavelet (DE-588)4215427-3 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Wavelet - Lineare Algebra Algebras, Linear Wavelets (Mathematics) Wavelet Lineare Algebra Einführung |
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