Analysis on h-Harmonics and Dunkl Transforms

, (Autoren)

Sergey Tikhonov (Herausgeber)

Buch | Softcover
VIII, 118 Seiten
2015 | 2015
Springer Basel (Verlag)
978-3-0348-0886-6 (ISBN)

Lese- und Medienproben

Analysis on h-Harmonics and Dunkl Transforms - Feng Dai, Yuan Xu
26,74 inkl. MwSt
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.

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.

"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)

Erscheint lt. Verlag 13.2.2015
Reihe/Serie Advanced Courses in Mathematics - CRM Barcelona
Zusatzinfo VIII, 118 p.
Verlagsort Basel
Sprache englisch
Maße 168 x 240 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte Dunkl transforms • h-harmonics • multiplier theorem • reflection groups
ISBN-10 3-0348-0886-0 / 3034808860
ISBN-13 978-3-0348-0886-6 / 9783034808866
Zustand Neuware
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