## 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
Classical invariant theory for finite reflection groups
✍ Scribed by M. Hunziker
- Publisher
- SP Birkhäuser Verlag Boston
- Year
- 1997
- Tongue
- English
- Weight
- 816 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1083-4362
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📜 SIMILAR VOLUMES
Let G be a finite group of complex n = n unitary matrices generated by reflections acting on ރ n . Let R be the ring of invariant polynomials, and let be a multiplicative character of G. Let ⍀ be the R-module of -invariant differential forms. We define a multiplication in ⍀ and show that under thi
Any finite reflection group G admits a distinguished basis of G-invariants canonically attached to a certain system of invariant differential equations. We determine it explicitly for groups of types A, B, D, and I in a systematic way.
Let k be a field of characteristic zero. Consider the field K=k(q) of rational functions in the variable q. The algebra of q-polynomial functions article no. 0067 78