## 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
Invariant fields of finite irreducible reflection groups
β Scribed by Gregor Kemper; Gunter Malle
- Publisher
- Springer
- Year
- 1999
- Tongue
- English
- Weight
- 143 KB
- Volume
- 315
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
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
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.
An algorithm is presented which calculates rings of polynomial invariants of finite linear groups over an arbitrary field K. Up to now, such algorithms have been available only for the case that the characteristic of K does not divide the group order. Some applications to the question whether a modu