## Abstract In this paper we use approximate identities in the Dunkl setting in order to construct spherical Dunkl wavelets, which do not involve the knowledge of the intertwining operator, the Dunkl translation or of the Dunkl transform. The practicality of the proposed approach will be shown with
Differential Equations Invariant Under Finite Reflection Groups
β Scribed by Robert Steinberg
- Book ID
- 125674189
- Publisher
- American Mathematical Society
- Year
- 1964
- Tongue
- English
- Weight
- 344 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0002-9947
- DOI
- 10.2307/1994152
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The classical solution of the RiemannαHilbert problem attaches to a given representation of the fundamental group a regular singular linear differential equation. We present a method to compute this differential equation in the case of a representation with finite image. The approach uses Galois cov
Let G be a finite group of complex n = n unitary matrices generated by reflections acting on β«ήβ¬ n . Let R be the ring of invariant polynomials, and let be a multiplicative character of G. Let β be the R-module of -invariant differential forms. We define a multiplication in β and show that under thi