Wavelet approximation by spherical up functions:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Aachen
Shaker
2004
|
| Schriftenreihe: | Industriemathematik und angewandte Mathematik
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 101 S. graph. Darst. 21 cm |
| ISBN: | 3832229140 |
Internformat
MARC
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| 100 | 1 | |a Schreiner, Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Wavelet approximation by spherical up functions |c Michael Schreiner |
| 264 | 1 | |a Aachen |b Shaker |c 2004 | |
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| 490 | 0 | |a Industriemathematik und angewandte Mathematik | |
| 502 | |a Zugl.: Kaiserslautern, Univ., Habil.-Schr., 2004 | ||
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Datensatz im Suchindex
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| adam_text | Contents
Introduction 3
1 Preliminaries 9
1.1 Polynomials 9
1.2 Spherical Harmonie? 11
1.3 Sobolev Spaces and Pseudo-Differential Operators 12
1.4 Radial Basis Functions on the Sphere 14
1.5 Spherical Singular Integrals 16
2 Locally Supported Radial Basis Functions on the Sphere 21
2.1 Definition of Locally Supported Kernels 22
2.2 Legendre Transform and Consequences 25
2.2.1 Explicit Expressions for the Symbol 27
2.2.2 Asymptotics of the Legendre Transform 31
2.2.3 Iterated Locally Supported Kernels 33
2.3 The Spherical Up Function 36
2.4 Locally Supported Kernels as Approximate Identities 42
3 Locally Supported Spherical Wavelets 45
3.1 Scale Functions Based on the Up Function 46
3.2 Locally Supported Wavelets 50
3.2.1 Linear Wavelet Theory 52
3.2.2 Bilinear Wavelet Theory 54
3.3 Tree Algorithms 58
4 The Up Functions in Spherical Gravitational Field Determination 63
4.1 Boundary-Value Problems and Satellite Problems 63
4.1.1 Gravitational Potential 64
4.1.2 Upward/Downward Continuation 65
4.1.3 Operator of the First Order Radial Derivative 66
4.1.4 Pseudo-Differential Operator for Satellite-To-Satellite Tracking 67
4.1.5 Pseudo-Differential Operator of the Second Order Radial Deriva¬
tive 68
4.1.6 Pseudo-Differential Operator for Satellite Gravity Gradiometry 68
4.1.7 Summary of the Pseudo-Differential Operators 70
1
4.1.8 Classical Boundary Value Problems and Satellite Problems ... 71
4.2 A Short Introduction to the Regularization of Ill-Posed Problems ... 72
4.3 Wavelet Solutions of Pseudo-Differential Equations 78
4.4 Tree Algorithms for the Solution of Pseudo-Differential Equations ... 83
4.5 Band-Limited Wavelet Transform for Pseudo-Differential Equations . . 87
5 Conclusions 93
Bibliography 94
|
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| genre_facet | Hochschulschrift |
| id | DE-604.BV023796608 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:37:00Z |
| institution | BVB |
| isbn | 3832229140 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017438812 |
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| physical | 101 S. graph. Darst. 21 cm |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Shaker |
| record_format | marc |
| series2 | Industriemathematik und angewandte Mathematik |
| spelling | Schreiner, Michael Verfasser aut Wavelet approximation by spherical up functions Michael Schreiner Aachen Shaker 2004 101 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Industriemathematik und angewandte Mathematik Zugl.: Kaiserslautern, Univ., Habil.-Schr., 2004 Kugelfunktion (DE-588)4033494-6 gnd rswk-swf Wavelet (DE-588)4215427-3 gnd rswk-swf Satellitengradiometrie (DE-588)4470080-5 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Pseudodifferentialgleichung (DE-588)4121533-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Approximation (DE-588)4002498-2 s Wavelet (DE-588)4215427-3 s Kugelfunktion (DE-588)4033494-6 s Satellitengradiometrie (DE-588)4470080-5 s Pseudodifferentialgleichung (DE-588)4121533-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017438812&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schreiner, Michael Wavelet approximation by spherical up functions Kugelfunktion (DE-588)4033494-6 gnd Wavelet (DE-588)4215427-3 gnd Satellitengradiometrie (DE-588)4470080-5 gnd Approximation (DE-588)4002498-2 gnd Pseudodifferentialgleichung (DE-588)4121533-3 gnd |
| subject_GND | (DE-588)4033494-6 (DE-588)4215427-3 (DE-588)4470080-5 (DE-588)4002498-2 (DE-588)4121533-3 (DE-588)4113937-9 |
| title | Wavelet approximation by spherical up functions |
| title_auth | Wavelet approximation by spherical up functions |
| title_exact_search | Wavelet approximation by spherical up functions |
| title_full | Wavelet approximation by spherical up functions Michael Schreiner |
| title_fullStr | Wavelet approximation by spherical up functions Michael Schreiner |
| title_full_unstemmed | Wavelet approximation by spherical up functions Michael Schreiner |
| title_short | Wavelet approximation by spherical up functions |
| title_sort | wavelet approximation by spherical up functions |
| topic | Kugelfunktion (DE-588)4033494-6 gnd Wavelet (DE-588)4215427-3 gnd Satellitengradiometrie (DE-588)4470080-5 gnd Approximation (DE-588)4002498-2 gnd Pseudodifferentialgleichung (DE-588)4121533-3 gnd |
| topic_facet | Kugelfunktion Wavelet Satellitengradiometrie Approximation Pseudodifferentialgleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017438812&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT schreinermichael waveletapproximationbysphericalupfunctions |