Self-similarity and multiwavelets in higher dimensions:
Gespeichert in:
Hauptverfasser: | , , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Providence, RI
Am. Math. Soc.
2004
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Schriftenreihe: | Memoirs of the American Mathematical Society
807 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | "Volume 170, number 807 (end of volume)." Includes bibliographical references |
Beschreibung: | VII, 82 S. graph. Darst. |
ISBN: | 0821835203 |
Internformat
MARC
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100 | 1 | |a Cabrelli, Carlos A. |d 1949- |e Verfasser |0 (DE-588)173692680 |4 aut | |
245 | 1 | 0 | |a Self-similarity and multiwavelets in higher dimensions |c Carlos A. Cabrelli ; Christopher Heil ; Ursula M. Molter |
264 | 1 | |a Providence, RI |b Am. Math. Soc. |c 2004 | |
300 | |a VII, 82 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Memoirs of the American Mathematical Society |v 807 | |
500 | |a "Volume 170, number 807 (end of volume)." | ||
500 | |a Includes bibliographical references | ||
650 | 7 | |a Differentievergelijkingen |2 gtt | |
650 | 7 | |a Equações de diferença |2 larpcal | |
650 | 7 | |a Functies (wiskunde) |2 gtt | |
650 | 4 | |a Difference equations | |
650 | 4 | |a Functional equations | |
650 | 4 | |a Inequalities (Mathematics) | |
700 | 1 | |a Heil, Christopher |d 1960- |e Verfasser |0 (DE-588)132081466 |4 aut | |
700 | 1 | |a Molter, Ursula M. |d 1957- |e Verfasser |0 (DE-588)173692699 |4 aut | |
810 | 2 | |a American mathematical Society |t Memoirs of the American Mathematical Society |v 807 |w (DE-604)BV008000141 |9 807 | |
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Datensatz im Suchindex
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adam_text | Contents
Acknowledgments vii
Chapter 1. Introduction 1
1.1. Description of Results 1
1.2. A Historical Overview 3
Chapter 2. Matrices, Tiles and the Joint Spectral Radius 5
2.1. Miscellaneous Notation 5
2.2. Attractors and Tiles 7
2.3. Matrix Form of the Refinement Operator 13
2.4. The Joint Spectral Radius 16
Chapter 3. Generalized Self Similarity and the Refinement Equation 19
3.1. Generalized Self Similarity 19
3.2. Sufficient Conditions for the Existence of Vector Scaling Functions 20
3.3. Continuous Solutions and the Support of the Refinement Equation
Coefficients 26
3.4. Higher Order Accuracy 27
3.5. Invariant Subspaces 32
3.6. Necessary Conditions for the Existence of Continuous Vector Scaling
Functions 36
3.7. Holder Continuity 46
Chapter 4. Multiresolution Analysis 49
4.1. Multiresolution Analysis 49
4.2. Wavelets Associated with a Multiresolution Analysis 58
Chapter 5. Examples 63
5.1. Numerical Estimates of the Joint Spectral Radius 64
5.2. The Kovacevic Vetterli Scaling Function 65
5.3. Nonseparable Quincunx Multiwavelets 69
Bibliography 77
Appendix A. Index of Symbols 81
|
any_adam_object | 1 |
author | Cabrelli, Carlos A. 1949- Heil, Christopher 1960- Molter, Ursula M. 1957- |
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author_facet | Cabrelli, Carlos A. 1949- Heil, Christopher 1960- Molter, Ursula M. 1957- |
author_role | aut aut aut |
author_sort | Cabrelli, Carlos A. 1949- |
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callnumber-label | QA3 |
callnumber-raw | QA3 |
callnumber-search | QA3 |
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classification_tum | MAT 428f MAT 348f |
ctrlnum | (OCoLC)265468758 (DE-599)BVBBV025348303 |
dewey-full | 510 515/.625 515.625 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics 515 - Analysis |
dewey-raw | 510 515/.625 515.625 |
dewey-search | 510 515/.625 515.625 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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illustrated | Illustrated |
indexdate | 2024-07-09T22:31:36Z |
institution | BVB |
isbn | 0821835203 |
language | English |
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oclc_num | 265468758 |
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physical | VII, 82 S. graph. Darst. |
publishDate | 2004 |
publishDateSearch | 2004 |
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publisher | Am. Math. Soc. |
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series2 | Memoirs of the American Mathematical Society |
spelling | Cabrelli, Carlos A. 1949- Verfasser (DE-588)173692680 aut Self-similarity and multiwavelets in higher dimensions Carlos A. Cabrelli ; Christopher Heil ; Ursula M. Molter Providence, RI Am. Math. Soc. 2004 VII, 82 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 807 "Volume 170, number 807 (end of volume)." Includes bibliographical references Differentievergelijkingen gtt Equações de diferença larpcal Functies (wiskunde) gtt Difference equations Functional equations Inequalities (Mathematics) Heil, Christopher 1960- Verfasser (DE-588)132081466 aut Molter, Ursula M. 1957- Verfasser (DE-588)173692699 aut American mathematical Society Memoirs of the American Mathematical Society 807 (DE-604)BV008000141 807 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019976020&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Cabrelli, Carlos A. 1949- Heil, Christopher 1960- Molter, Ursula M. 1957- Self-similarity and multiwavelets in higher dimensions Differentievergelijkingen gtt Equações de diferença larpcal Functies (wiskunde) gtt Difference equations Functional equations Inequalities (Mathematics) |
title | Self-similarity and multiwavelets in higher dimensions |
title_auth | Self-similarity and multiwavelets in higher dimensions |
title_exact_search | Self-similarity and multiwavelets in higher dimensions |
title_full | Self-similarity and multiwavelets in higher dimensions Carlos A. Cabrelli ; Christopher Heil ; Ursula M. Molter |
title_fullStr | Self-similarity and multiwavelets in higher dimensions Carlos A. Cabrelli ; Christopher Heil ; Ursula M. Molter |
title_full_unstemmed | Self-similarity and multiwavelets in higher dimensions Carlos A. Cabrelli ; Christopher Heil ; Ursula M. Molter |
title_short | Self-similarity and multiwavelets in higher dimensions |
title_sort | self similarity and multiwavelets in higher dimensions |
topic | Differentievergelijkingen gtt Equações de diferença larpcal Functies (wiskunde) gtt Difference equations Functional equations Inequalities (Mathematics) |
topic_facet | Differentievergelijkingen Equações de diferença Functies (wiskunde) Difference equations Functional equations Inequalities (Mathematics) |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019976020&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV008000141 |
work_keys_str_mv | AT cabrellicarlosa selfsimilarityandmultiwaveletsinhigherdimensions AT heilchristopher selfsimilarityandmultiwaveletsinhigherdimensions AT molterursulam selfsimilarityandmultiwaveletsinhigherdimensions |