An introduction to wavelets through linear algebra:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York [u.a.]
Springer
1999
|
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagwörter: | |
| Links: | 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 |
| Umfang: | XVI, 501 S. Ill., graph. Darst. |
| ISBN: | 0387986391 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV012487195 | ||
| 003 | DE-604 | ||
| 005 | 20010206 | ||
| 007 | t| | ||
| 008 | 990401s1999 xx ad|| |||| 00||| eng d | ||
| 020 | |a 0387986391 |9 0-387-98639-1 | ||
| 035 | |a (OCoLC)245985370 | ||
| 035 | |a (DE-599)BVBBV012487195 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-739 |a DE-29T |a DE-824 |a DE-703 |a DE-91G |a DE-898 |a DE-355 |a DE-706 |a DE-634 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA403.3 | |
| 082 | 0 | |a 515.2433 | |
| 084 | |a SK 430 |0 (DE-625)143239: |2 rvk | ||
| 084 | |a SK 450 |0 (DE-625)143240: |2 rvk | ||
| 084 | |a MAT 428f |2 stub | ||
| 084 | |a 17,1 |2 ssgn | ||
| 084 | |a 65T10 |2 msc | ||
| 084 | |a 42C15 |2 msc | ||
| 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 | |
| 650 | 4 | |a Algebras, Linear | |
| 650 | 4 | |a Wavelets (Mathematics) | |
| 650 | 0 | 7 | |a Wavelet |0 (DE-588)4215427-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Wavelet |0 (DE-588)4215427-3 |D s |
| 689 | 0 | 1 | |a Lineare Algebra |0 (DE-588)4035811-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008475829 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 428f 2001 A 14699 |
|---|---|
| DE-BY-TUM_katkey | 1145052 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010586835 |
| _version_ | 1821931756773703680 |
| 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
|
| any_adam_object | 1 |
| author | Frazier, Michael W. 1956- |
| author_GND | (DE-588)121274667 |
| author_facet | Frazier, Michael W. 1956- |
| author_role | aut |
| author_sort | Frazier, Michael W. 1956- |
| author_variant | m w f mw mwf |
| building | Verbundindex |
| bvnumber | BV012487195 |
| callnumber-first | Q - Science |
| callnumber-label | QA403 |
| callnumber-raw | QA403.3 |
| callnumber-search | QA403.3 |
| callnumber-sort | QA 3403.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 430 SK 450 |
| classification_tum | MAT 428f |
| ctrlnum | (OCoLC)245985370 (DE-599)BVBBV012487195 |
| dewey-full | 515.2433 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.2433 |
| dewey-search | 515.2433 |
| dewey-sort | 3515.2433 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01823nam a2200481 c 4500</leader><controlfield tag="001">BV012487195</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20010206 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">990401s1999 xx ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387986391</subfield><subfield code="9">0-387-98639-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)245985370</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV012487195</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-898</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA403.3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.2433</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 430</subfield><subfield code="0">(DE-625)143239:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 450</subfield><subfield code="0">(DE-625)143240:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 428f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">65T10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">42C15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Frazier, Michael W.</subfield><subfield code="d">1956-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)121274667</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An introduction to wavelets through linear algebra</subfield><subfield code="c">Michael W. Frazier</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New York [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1999</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 501 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Undergraduate texts in mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wavelet - Lineare Algebra</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebras, Linear</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Wavelets (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wavelet</subfield><subfield code="0">(DE-588)4215427-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Lineare Algebra</subfield><subfield code="0">(DE-588)4035811-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Wavelet</subfield><subfield code="0">(DE-588)4215427-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Lineare Algebra</subfield><subfield code="0">(DE-588)4035811-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-008475829</subfield></datafield></record></collection> |
| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV012487195 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:31:11Z |
| institution | BVB |
| isbn | 0387986391 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008475829 |
| oclc_num | 245985370 |
| open_access_boolean | |
| owner | DE-739 DE-29T DE-824 DE-703 DE-91G DE-BY-TUM DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-634 DE-83 DE-11 DE-188 |
| owner_facet | DE-739 DE-29T DE-824 DE-703 DE-91G DE-BY-TUM DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-706 DE-634 DE-83 DE-11 DE-188 |
| physical | XVI, 501 S. Ill., graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer |
| record_format | marc |
| series2 | Undergraduate texts in mathematics |
| 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 |
| url | 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 |
| work_keys_str_mv | AT fraziermichaelw anintroductiontowaveletsthroughlinearalgebra |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 428f 2001 A 14699
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |