Analysis on h-Harmonics and Dunkl Transforms (Advanced Courses in Mathematics - CRM Barcelona) - Softcover

Buch 17 von 35: Advanced Courses in Mathematics - CRM Barcelona

Dai, Feng; Xu, Yuan

 
9783034808866: Analysis on h-Harmonics and Dunkl Transforms (Advanced Courses in Mathematics - CRM Barcelona)
Softcover
ISBN 10: 3034808860 ISBN 13: 9783034808866
Verlag: Springer Basel, 2015

Inhaltsangabe

​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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Von der hinteren Coverseite

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.

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Verlag
Springer Basel
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
3034808860
ISBN 13 
9783034808866
Einband
Tapa blanda
Anzahl der Seiten
118
Herausgeber
Tikhonov Sergey
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

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9783034808880: Analysis on h-Harmonics and Dunkl Transforms

Vorgestellte Ausgabe

ISBN 10:  3034808887 ISBN 13:  9783034808880
Verlag: Birkhäuser, 2015
Softcover