Holdings: Approximation theory and harmonic analysis on spheres and balls

Approximation theory and harmonic analysis on spheres and balls:

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Bibliographic Details
Main Authors:	Dai, Feng (Author), Xu, Yuan (Author)
Format:	Electronic eBook
Language:	English
Published:	New York, NY [u.a.] Springer 2013
Series:	Springer monographs in mathematics
Subjects:	Harmonische Analyse Polynomapproximation
Online Access:	DE-634 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource
ISBN:	9781461466598 9781461466604
DOI:	10.1007/978-1-4614-6660-4

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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
author_sort	Dai, Feng
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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
url	https://doi.org/10.1007/978-1-4614-6660-4 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 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
work_keys_str_mv	AT daifeng approximationtheoryandharmonicanalysisonspheresandballs AT xuyuan approximationtheoryandharmonicanalysisonspheresandballs

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