Approximation theory and harmonic analysis on spheres and balls:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2013
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781461466598 9781461466604 |
| DOI: | 10.1007/978-1-4614-6660-4 |
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Datensatz im Suchindex
| _version_ | 1804150402157903872 |
|---|---|
| adam_text | APPROXIMATION THEORY AND HARMONIC ANALYSIS ON SPHERES AND BALLS
/ DAI, FENG
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
1 SPHERICAL HARMONICS
2 CONVOLUTION AND SPHERICAL HARMONIC EXPANSION
3 LITTLEWOOD-PALEY THEORY AND MULTIPLIER THEOREM
4 APPROXIMATION ON THE SPHERE
5 WEIGHTED POLYNOMIAL INEQUALITIES
6 CUBATURE FORMULAS ON SPHERES
7 HARMONIC ANALYSIS ASSOCIATED TO REFLECTION GROUPS
8 BOUNDEDNESS OF PROJECTION OPERATOR AND CESARO MEANS
9 PROJECTION OPERATORS AND CESARO MEANS IN L^P SPACES
10 WEIGHTED BEST APPROXIMATION BY POLYNOMIALS
11 HARMONIC ANALYSIS ON THE UNIT BALL
12 POLYNOMIAL APPROXIMATION ON THE UNIT BALL
13 HARMONIC ANALYSIS ON THE SIMPLEX
14 APPLICATIONS
A DISTANCE, DIFFERENCE AND INTEGRAL FORMULAS
B JACOBI AND RELATED ORTHOGONAL POLYNOMIALS
REFERENCES
INDEX
SYMBOL INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
APPROXIMATION THEORY AND HARMONIC ANALYSIS ON SPHERES AND BALLS
/ DAI, FENG
: 2013
ABSTRACT / INHALTSTEXT
THIS MONOGRAPH RECORDS PROGRESS IN APPROXIMATION THEORY AND HARMONIC
ANALYSIS ON BALLS AND SPHERES, AND PRESENTS CONTEMPORARY MATERIAL THAT
WILL BE USEFUL TO ANALYSTS IN THIS AREA. WHILE THE FIRST PART OF THE
BOOK CONTAINS MAINSTREAM MATERIAL ON THE SUBJECT, THE SECOND AND THE
THIRD PARTS DEAL WITH MORE SPECIALIZED TOPICS, SUCH AS ANALYSIS IN
WEIGHT SPACES WITH REFLECTION INVARIANT WEIGHT FUNCTIONS, AND ANALYSIS
ON BALLS AND SIMPLEXES. THE LAST PART OF THE BOOK FEATURES SEVERAL
APPLICATIONS, INCLUDING CUBATURE FORMULAS, DISTRIBUTION OF POINTS ON THE
SPHERE, AND THE RECONSTRUCTION ALGORITHM IN COMPUTERIZED TOMOGRAPHY.
THIS BOOK IS DIRECTED AT RESEARCHERS AND ADVANCED GRADUATE STUDENTS IN
ANALYSIS. MATHEMATICIANS WHO ARE FAMILIAR WITH FOURIER ANALYSIS AND
HARMONIC ANALYSIS WILL UNDERSTAND MANY OF THE CONCEPTS THAT APPEAR IN
THIS MANUSCRIPT: SPHERICAL HARMONICS, THE HARDY-LITTLEWOOD MAXIMAL
FUNCTION, THE MARCINKIEWICZ MULTIPLIER THEOREM, THE RIESZ TRANSFORM, AND
DOUBLING WEIGHTS ARE ALL FAMILIAR TOOLS TO RESEARCHERS IN THIS AREA
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Dai, Feng Xu, Yuan |
| author_GND | (DE-588)1034968203 (DE-588)1034977369 |
| author_facet | Dai, Feng Xu, Yuan |
| author_role | aut aut |
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| author_variant | f d fd y x yx |
| building | Verbundindex |
| bvnumber | BV041041187 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)846967860 (DE-599)DNB1033590746 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1007/978-1-4614-6660-4 |
| format | Electronic eBook |
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| spelling | Dai, Feng Verfasser (DE-588)1034968203 aut Approximation theory and harmonic analysis on spheres and balls Feng Dai ; Yuan Xu New York, NY [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Polynomapproximation (DE-588)4197097-4 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 s Polynomapproximation (DE-588)4197097-4 s 1\p DE-604 Xu, Yuan Verfasser (DE-588)1034977369 aut https://doi.org/10.1007/978-1-4614-6660-4 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026018606&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026018606&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dai, Feng Xu, Yuan Approximation theory and harmonic analysis on spheres and balls Harmonische Analyse (DE-588)4023453-8 gnd Polynomapproximation (DE-588)4197097-4 gnd |
| subject_GND | (DE-588)4023453-8 (DE-588)4197097-4 |
| title | Approximation theory and harmonic analysis on spheres and balls |
| title_auth | Approximation theory and harmonic analysis on spheres and balls |
| title_exact_search | Approximation theory and harmonic analysis on spheres and balls |
| title_full | Approximation theory and harmonic analysis on spheres and balls Feng Dai ; Yuan Xu |
| title_fullStr | Approximation theory and harmonic analysis on spheres and balls Feng Dai ; Yuan Xu |
| title_full_unstemmed | Approximation theory and harmonic analysis on spheres and balls Feng Dai ; Yuan Xu |
| title_short | Approximation theory and harmonic analysis on spheres and balls |
| title_sort | approximation theory and harmonic analysis on spheres and balls |
| topic | Harmonische Analyse (DE-588)4023453-8 gnd Polynomapproximation (DE-588)4197097-4 gnd |
| topic_facet | Harmonische Analyse Polynomapproximation |
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