Analysis on h-harmonics and Dunkl transforms:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Springer
2015
|
| Schriftenreihe: | Advanced Courses in Mathematics - CRM Barcelona
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (VIII, 118 S.) |
| ISBN: | 9783034808873 |
| ISSN: | 2297-0304 |
| DOI: | 10.1007/978-3-0348-0887-3 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804152927452921856 |
|---|---|
| adam_text | ANALYSIS ON H-HARMONICS AND DUNKL TRANSFORMS
/ DAI, FENG
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
SPHERICAL HARMONICS AND FOURIER TRANSFORM
DUNKL OPERATORS ASSOCIATED WITH REFLECTION GROUPS
H-HARMONICS AND ANALYSIS ON THE SPHERE
LITTLEWOOD–PALEY THEORY AND THE MULTIPLIER THEOREM
SHARP JACKSON AND SHARP MARCHAUD INEQUALITIES
DUNKL TRANSFORM
MULTIPLIER THEOREMS FOR THE DUNKL TRANSFORM
BIBLIOGRAPHY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
ANALYSIS ON H-HARMONICS AND DUNKL TRANSFORMS
/ DAI, FENG
: 2015
ABSTRACT / INHALTSTEXT
AS A UNIQUE CASE IN THIS ADVANCED COURSES BOOK SERIES, THE AUTHORS HAVE
JOINTLY WRITTEN THIS INTRODUCTION TO H-HARMONICS AND DUNKL TRANSFORMS.
THESE ARE EXTENSIONS OF THE ORDINARY SPHERICAL HARMONICS AND FOURIER
TRANSFORMS, IN WHICH THE USUAL LEBESGUE MEASURE IS REPLACED BY A
REFLECTION-INVARIANT WEIGHTED MEASURE. THE THEORY, ORIGINALLY INTRODUCED
BY C. DUNKL, HAS BEEN EXPANDED ON BY MANY AUTHORS OVER THE LAST 20
YEARS. THESE NOTES PROVIDE AN OVERVIEW OF WHAT HAS BEEN DEVELOPED SO
FAR. THE FIRST CHAPTER GIVES A BRIEF RECOUNT OF THE BASICS OF ORDINARY
SPHERICAL HARMONICS AND THE FOURIER TRANSFORM. THE DUNKL OPERATORS, THE
INTERTWINING OPERATORS BETWEEN PARTIAL DERIVATIVES AND THE DUNKL
OPERATORS ARE INTRODUCED AND DISCUSSED IN THE SECOND CHAPTER. THE NEXT
THREE CHAPTERS ARE DEVOTED TO ANALYSIS ON THE SPHERE, AND THE FINAL TWO
CHAPTERS TO THE DUNKL TRANSFORM. THE AUTHORS’ FOCUS IS ON THE ANALYSIS
SIDE OF BOTH H-HARMONICS AND DUNKL TRANSFORMS. THE NEED FOR BACKGROUND
KNOWLEDGE ON REFLECTION GROUPS IS KEPT TO A BARE MINIMUM
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Dai, Feng Xu, Yuan |
| author_GND | (DE-588)1034968203 (DE-588)1034977369 |
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| author_role | aut aut |
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| author_variant | f d fd y x yx |
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| bvnumber | BV042325925 |
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| dewey-full | 511.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.4 |
| dewey-search | 511.4 |
| dewey-sort | 3511.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-0887-3 |
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| indexdate | 2024-07-10T01:18:29Z |
| institution | BVB |
| isbn | 9783034808873 |
| issn | 2297-0304 |
| language | English |
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| series2 | Advanced Courses in Mathematics - CRM Barcelona |
| spelling | Dai, Feng Verfasser (DE-588)1034968203 aut Analysis on h-harmonics and Dunkl transforms Feng Dai ; Yuan Xu Basel [u.a.] Springer 2015 1 Online-Ressource (VIII, 118 S.) txt rdacontent c rdamedia cr rdacarrier Advanced Courses in Mathematics - CRM Barcelona 2297-0304 Mathematics Harmonic analysis Functional analysis Integral Transforms Approximations and Expansions Abstract Harmonic Analysis Integral Transforms, Operational Calculus Functional Analysis Mathematik Xu, Yuan Verfasser (DE-588)1034977369 aut Erscheint auch als Druckausgabe 978-3-0348-0886-6 https://doi.org/10.1007/978-3-0348-0887-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027762762&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=027762762&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Dai, Feng Xu, Yuan Analysis on h-harmonics and Dunkl transforms Mathematics Harmonic analysis Functional analysis Integral Transforms Approximations and Expansions Abstract Harmonic Analysis Integral Transforms, Operational Calculus Functional Analysis Mathematik |
| title | Analysis on h-harmonics and Dunkl transforms |
| title_auth | Analysis on h-harmonics and Dunkl transforms |
| title_exact_search | Analysis on h-harmonics and Dunkl transforms |
| title_full | Analysis on h-harmonics and Dunkl transforms Feng Dai ; Yuan Xu |
| title_fullStr | Analysis on h-harmonics and Dunkl transforms Feng Dai ; Yuan Xu |
| title_full_unstemmed | Analysis on h-harmonics and Dunkl transforms Feng Dai ; Yuan Xu |
| title_short | Analysis on h-harmonics and Dunkl transforms |
| title_sort | analysis on h harmonics and dunkl transforms |
| topic | Mathematics Harmonic analysis Functional analysis Integral Transforms Approximations and Expansions Abstract Harmonic Analysis Integral Transforms, Operational Calculus Functional Analysis Mathematik |
| topic_facet | Mathematics Harmonic analysis Functional analysis Integral Transforms Approximations and Expansions Abstract Harmonic Analysis Integral Transforms, Operational Calculus Functional Analysis Mathematik |
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