Analysis on h-Harmonics and Dunkl Transforms
Published on 13. February 2015
Book
Paperback/Softback
VIII, 118 pages
978-3-0348-0886-6 (ISBN)
Description
This book provides an 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 authors' focus is on the analysis side of both h-harmonics and Dunkl transforms.
Graduate students and researchers working in approximation theory, harmonic analysis, and functional analysis will benefit from this book.
Reviews / Votes
"This well-written book gives a readable introduction to Dunkl harmonics and Dunkl transforms . . the authors have collected a small compendium of results which will appeal to mathematicians interested in Dunkl analysis. . The authors have done a commendable job in making this little book self-contained and quite readable. It will certainly serve as a starting point for graduate students and researchers interested in learning Dunkl harmonics and Dunkl transforms." (Sundaram Thangavelu, Mathematical Reviews, December, 2015)
More details
Series
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Primary & secondary/elementary & high school
Graduate
Illustrations
VIII, 118 p.
Dimensions
Height: 24 cm
Width: 16.8 cm
Weight
254 gr
ISBN-13
978-3-0348-0886-6 (9783034808866)
DOI
10.1007/978-3-0348-0887-3
Schweitzer Classification
Other editions
Additional editions
Feng Dai | Yuan Xu | Sergey Tikhonov
Analysis on h-Harmonics and Dunkl Transforms
E-Book
01/2015
Birkhäuser Verlag GmbH
€26.74
Available for download
Content
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.