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Reducibility of finite reflection groups

✍ Scribed by JianMing Yu; GuangFeng Jiang

Book ID
113082788
Publisher
SP Science China Press
Year
2011
Tongue
English
Weight
118 KB
Volume
55
Category
Article
ISSN
1674-7283

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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

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## 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