Scattered data approximation on the rotation group and generalizations
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
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2009
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Datensatz im Suchindex
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|---|---|
| DE-BY-TUM_katkey | 1696834 |
| DE-BY-TUM_location | Mag 01 |
| DE-BY-TUM_media_number | TEMP3193130 040010155754 |
| _version_ | 1820896869806505984 |
| adam_text | 5.1.2 CONSTRUCTION OF POSITIVE DEFINITE FUNCTIONS 100 CONTENTS ABSTRACT
I ACKNOWLEDGMENT V INTRODUCTION 1 1 SCATTERED DATA APPROXIMATION IN
3, AND ON T: A FAST TOUR 7 1.1 KERNEL-BASED INTERPOLATION TECHNIQUES
IN E 7 1.2 APPROXIMATION BY TRIGONOMETRIC POLYNOMIALS 10 2 ANALYSIS ON
GROUPS 13 2.1 MAIN DEFINITIONS AND FUNDAMENTAL RESULTS 13 2.2 POSITIVE
DEFINITE FUNCTIONS ON LOCALLY COMPACT GROUPS 17 2.3 APPROXIMATION BY
POSITIVE DEFINITE FUNCTIONS 20 2.4 HARMONIC ANALYSIS ON COMPACT GROUPS
21 3 THE ROTATION GROUP 31 3.1 BASIC FACTS 31 3.2 HARMONIC ANALYSIS ON
THE ROTATION GROUP 33 4 SCATTERED DATA APPROXIMATION ON THE ROTATION
GROUP 47 4.1 APPROXIMATION BY POSITIVE DEFINITE FUNCTIONS 48 4.1.1
STABILITY RESULTS 49 4.1.2 CONSTRUCTION OF SUITABLE POSITIVE DEFINITE
BASIS FUNCTIONS . . . . 53 4.1.3 ERROR ESTIMATES 56 4.1.4 A TRADE-OFF
PRINCIPLE 58 4.2 POLYNOMIAL APPROXIMATION 63 4.2.1 REPRODUCING KERNELS
65 4.2.2 MARCINKIEWICZ-ZYGMUND INEQUALITIES 69 4.2.3 LEAST SQUARES
APPROXIMATION 78 4.2.4 POSITIVE QUADRATURE AND HYPERINTERPOLATION 81
4.2.5 PROBABILISTIC MARCINKIEWICZ-ZYGMUND INEQUALITIES 88 5
GENERALIZATIONS 97 5.1 APPROXIMATION ON LOCALLY COMPACT GROUPS 98 5.1.1
STABILITY RESULTS 98 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/995021562 DIGITALISIERT DURCH 5.1.3 A TRADE-OFF
PRINCIPLE 101 5.2 APPROXIMATION ON COMPACT GROUPS 103 5.2.1 REPRODUCING
KERNELS 105 5.2.2 NEAR BEST APPROXIMATION 107 APPENDICES 111 A DIRECT
SUMS OF HUBERT SPACES ILL B SOME BASIC LIE THEORY ILL BIBLIOGRAPHY 113
|
| any_adam_object | 1 |
| author | Schmid, Dominik |
| author_facet | Schmid, Dominik |
| author_role | aut |
| author_sort | Schmid, Dominik |
| author_variant | d s ds |
| building | Verbundindex |
| bvnumber | BV035588765 |
| classification_tum | MAT 410d MAT 223d |
| ctrlnum | (OCoLC)643298367 (DE-599)BVBBV035588765 |
| discipline | Mathematik |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV035588765 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T22:02:43Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017644019 |
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| physical | VII, 117 S. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| record_format | marc |
| spellingShingle | Schmid, Dominik Scattered data approximation on the rotation group and generalizations Approximationstheorie (DE-588)4120913-8 gnd Scattered-Data-Interpolation (DE-588)4723172-5 gnd Lokal kompakte Gruppe (DE-588)4168094-7 gnd Drehgruppe (DE-588)4150571-2 gnd |
| subject_GND | (DE-588)4120913-8 (DE-588)4723172-5 (DE-588)4168094-7 (DE-588)4150571-2 (DE-588)4113937-9 |
| title | Scattered data approximation on the rotation group and generalizations |
| title_auth | Scattered data approximation on the rotation group and generalizations |
| title_exact_search | Scattered data approximation on the rotation group and generalizations |
| title_full | Scattered data approximation on the rotation group and generalizations Dominik Schmid |
| title_fullStr | Scattered data approximation on the rotation group and generalizations Dominik Schmid |
| title_full_unstemmed | Scattered data approximation on the rotation group and generalizations Dominik Schmid |
| title_short | Scattered data approximation on the rotation group and generalizations |
| title_sort | scattered data approximation on the rotation group and generalizations |
| topic | Approximationstheorie (DE-588)4120913-8 gnd Scattered-Data-Interpolation (DE-588)4723172-5 gnd Lokal kompakte Gruppe (DE-588)4168094-7 gnd Drehgruppe (DE-588)4150571-2 gnd |
| topic_facet | Approximationstheorie Scattered-Data-Interpolation Lokal kompakte Gruppe Drehgruppe Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017644019&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT schmiddominik scattereddataapproximationontherotationgroupandgeneralizations |