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A transference theorem for the Dunkl transform and its applications by Feng Dai; Heping Wang is a Mathematics article available to read on EtoBox.
What is A transference theorem for the Dunkl transform and its applications about?
For a family of weight functions invariant under a finite reflection group, we show how weighted L p multiplier theorems for Dunkl transform on the Euclidean space R d can be transferred from the corresponding results for h-harmonic expansions on the unit sphere S d of R d+1 . The result is then applied to establish a Hörmander type multiplier theorem for the Dunkl transform and to show the convergence of the Bochner-Riesz means of the Dunkl transform of order above the critical index in weighted L p spaces.
Who reads A transference theorem for the Dunkl transform and its applications?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Feng Dai; Heping Wang
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-1236)
- Published
- 2010
- Language
- EN
- Field
- Mathematics (Physical Sciences)