Tensor spherical harmonics and their application in satellite gradiometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
1994
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 93 S. graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Schreiner, Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Tensor spherical harmonics and their application in satellite gradiometry |c Michael Schreiner |
| 264 | 1 | |c 1994 | |
| 300 | |a 93 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Kaiserslautern, Univ., Diss., 1994 | ||
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006648129 | |
Datensatz im Suchindex
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| adam_text |
TABLE
OF
CONTENTS
INTRODUCTION
5
1
PRELIMINARIES
9
1.1
TENSOR
FIELDS
.
10
1.2
TANGENTIAL
TENSOR
FIELDS
.
13
1.3
SPHERICAL
HARMONICS
.
18
2
TENSOR
SPHERICAL
HARMONICS
23
2.1
TENSOR
BELTRAMI
OPERATOR
.
24
2.2
DEFINITION
OF
TENSOR
SPHERICAL
HARMONICS
.
29
2.3
HOMOGENEOUS
HARMONIC
TENSOR
POLYNOMIALS
.
33
2.4
DECOMPOSITION
THEOREM
.
37
2.5
TENSORIAL
ADDITION
THEOREM
.
40
2.6
TENSORIAL
FUNK-HECKE
FORMULA
.
46
3
SATELLITE
GRADIOMETRY
53
3.1
A
BRIEF
INTRODUCTION
TO
SATELLITE
GRADIOMETRY
.
54
3.2
SOBOLEV
SPACES
.
.
56
3.3
EXISTENCE
AND
UNIQUENESS
RESULTS
.
60
3.4
NUMERICAL
SOLUTION
.
64
3.5
COMPUTATIONAL
RESULTS
.
73
APPENDICES
83
A
COORDINATE
SYSTEMS
ON
THE
UNIT
SPHERE
.
83
B
DIFFERENTIATION
IN
POLAR
COORDINATES
.
84
C
FORMULAE
FOR
THE
COVARIANT
DERIVATIVE
.
86
BIBLIOGRAPHY
89 |
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| author_facet | Schreiner, Michael |
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| building | Verbundindex |
| bvnumber | BV010026129 |
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| ctrlnum | (OCoLC)75548462 (DE-599)BVBBV010026129 |
| discipline | Bauingenieurwesen Mathematik Vermessungswesen |
| format | Thesis Book |
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| indexdate | 2024-08-14T01:21:56Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006648129 |
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| physical | 93 S. graph. Darst. |
| publishDate | 1994 |
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| spelling | Schreiner, Michael Verfasser aut Tensor spherical harmonics and their application in satellite gradiometry Michael Schreiner 1994 93 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Kaiserslautern, Univ., Diss., 1994 Satellitengradiometrie (DE-588)4470080-5 gnd rswk-swf Laplace-Operator (DE-588)4166772-4 gnd rswk-swf Satellitengeodäsie (DE-588)4051744-5 gnd rswk-swf Kugelfunktion (DE-588)4033494-6 gnd rswk-swf Tensorfeld (DE-588)4202754-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Laplace-Operator (DE-588)4166772-4 s Kugelfunktion (DE-588)4033494-6 s Satellitengeodäsie (DE-588)4051744-5 s DE-604 Satellitengradiometrie (DE-588)4470080-5 s Tensorfeld (DE-588)4202754-8 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006648129&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schreiner, Michael Tensor spherical harmonics and their application in satellite gradiometry Satellitengradiometrie (DE-588)4470080-5 gnd Laplace-Operator (DE-588)4166772-4 gnd Satellitengeodäsie (DE-588)4051744-5 gnd Kugelfunktion (DE-588)4033494-6 gnd Tensorfeld (DE-588)4202754-8 gnd |
| subject_GND | (DE-588)4470080-5 (DE-588)4166772-4 (DE-588)4051744-5 (DE-588)4033494-6 (DE-588)4202754-8 (DE-588)4113937-9 |
| title | Tensor spherical harmonics and their application in satellite gradiometry |
| title_auth | Tensor spherical harmonics and their application in satellite gradiometry |
| title_exact_search | Tensor spherical harmonics and their application in satellite gradiometry |
| title_full | Tensor spherical harmonics and their application in satellite gradiometry Michael Schreiner |
| title_fullStr | Tensor spherical harmonics and their application in satellite gradiometry Michael Schreiner |
| title_full_unstemmed | Tensor spherical harmonics and their application in satellite gradiometry Michael Schreiner |
| title_short | Tensor spherical harmonics and their application in satellite gradiometry |
| title_sort | tensor spherical harmonics and their application in satellite gradiometry |
| topic | Satellitengradiometrie (DE-588)4470080-5 gnd Laplace-Operator (DE-588)4166772-4 gnd Satellitengeodäsie (DE-588)4051744-5 gnd Kugelfunktion (DE-588)4033494-6 gnd Tensorfeld (DE-588)4202754-8 gnd |
| topic_facet | Satellitengradiometrie Laplace-Operator Satellitengeodäsie Kugelfunktion Tensorfeld Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006648129&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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