Analysis on h-Harmonics and Dunkl Transforms (Paperback)
Language: English
Published by Springer Basel, Basel, 2015
Series: Book 17 of 35 - Advanced Courses in Mathematics - CRM Barcelona
- Softcover
- New
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail
AbeBooks seller since October 12, 2005
Condition: New
US$ 51.28
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Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Seller Inventory # 9783034808866
- Title
- Analysis on h-Harmonics and Dunkl Transforms (Paperback)
- Author
- Yuan Xu
- Publisher
- Springer Basel, Basel
- Publication year
- 2015
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 3034808860
- ISBN 13
- 9783034808866
- Series
- Book 17 of 35: Advanced Courses in Mathematics - CRM Barcelona
"Synopsis" may belong to another edition of this title.
From the Back Cover
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."About the title" may belong to another edition of this title.
Grand Eagle Retail
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