Coverart for item
The Resource Analysis on h-harmonics and Dunkl transforms, Feng Dai, Yuan Xu ; editor for this volume: Sergey Tikhonov, (electronic book)

Analysis on h-harmonics and Dunkl transforms, Feng Dai, Yuan Xu ; editor for this volume: Sergey Tikhonov, (electronic book)

Label
Analysis on h-harmonics and Dunkl transforms
Title
Analysis on h-harmonics and Dunkl transforms
Statement of responsibility
Feng Dai, Yuan Xu ; editor for this volume: Sergey Tikhonov
Creator
Contributor
Author
Editor
Subject
Language
eng
Summary
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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Dai, Feng
Dewey number
515/.2433
Index
index present
LC call number
QA403
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
  • 1957-
  • 1976-
http://library.link/vocab/relatedWorkOrContributorName
  • Xu, Yuan
  • Tikhonov, Sergey
Series statement
Advanced courses in mathematics, CRM Barcelona,
http://library.link/vocab/subjectName
  • Harmonic analysis
  • Fourier analysis
Label
Analysis on h-harmonics and Dunkl transforms, Feng Dai, Yuan Xu ; editor for this volume: Sergey Tikhonov, (electronic book)
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
SPR902804721
Dimensions
unknown
Extent
1 online resource (viii, 118 pages).
File format
unknown
Form of item
online
Isbn
9783034808873
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-0348-0887-3
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote
Label
Analysis on h-harmonics and Dunkl transforms, Feng Dai, Yuan Xu ; editor for this volume: Sergey Tikhonov, (electronic book)
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
SPR902804721
Dimensions
unknown
Extent
1 online resource (viii, 118 pages).
File format
unknown
Form of item
online
Isbn
9783034808873
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-0348-0887-3
Quality assurance targets
not applicable
Reformatting quality
unknown
Reproduction note
Electronic resource.
Sound
unknown sound
Specific material designation
remote

Library Locations

Processing Feedback ...