Analysis on h-Harmonics and Dunkl Transforms
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 operator…
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Produktdetails
Weitere Autoren: Xu, Yuan / Tikhonov, Sergey (Hrsg.)
- ISBN: 978-3-0348-0886-6
- EAN: 9783034808866
- Produktnummer: 17223520
- Verlag: Springer Nature EN
- Sprache: Englisch
- Erscheinungsjahr: 2015
- Seitenangabe: 118 S.
- Masse: H24.0 cm x B16.8 cm 0 g
- Sonstiges: Graduate
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