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Analysis on h-Harmonics and Dunkl Transforms (Advanced Courses in Mathematics - CRM Barcelona) - Softcover
Synopsis
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.
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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 this title" may belong to another edition of this title.
- PublisherBirkhäuser
- Publication date2015
- ISBN 10 3034808860
- ISBN 13 9783034808866
- BindingPaperback
- LanguageEnglish
- Number of pages126
- EditorTikhonov Sergey
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Analysis on h-Harmonics and Dunkl Transforms (Paperback)
Published by
Birkhauser Verlag AG, Basel, 2015
ISBN 10: 3034808860
ISBN 13: 9783034808866
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Paperback. Condition: new. 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
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Analysis on h-Harmonics and Dunkl Transforms (Advanced Courses in Mathematics - CRM Barcelona)
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Springer (India) Private Limited, 2015
ISBN 10: 3034808860
ISBN 13: 9783034808866
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Analysis on h-Harmonics and Dunkl Transforms (Advanced Courses in Mathematics - CRM Barcelona)
Published by
Springer (India) Private Limited, 2015
ISBN 10: 3034808860
ISBN 13: 9783034808866
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Analysis on h-Harmonics and Dunkl Transforms (Advanced Courses in Mathematics - CRM Barcelona)
Published by
Springer (India) Private Limited, 2015
ISBN 10: 3034808860
ISBN 13: 9783034808866
New
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Analysis on h-Harmonics and Dunkl Transforms
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Analysis on h-Harmonics and Dunkl Transforms
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Analysis on h-Harmonics and Dunkl Transforms
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Condition: New. Focusses on the analysis side of h-harmonics and Dunkl transformsWritten in a concise yet informative styleNo previous knowledge on reflection groups requiredThis book provides an introduction to h-harmonics and Dunkl transforms. Seller Inventory # 14919666
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