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
Wavelets invariant under finite reflection groups
✍ Scribed by G. Bernardes; S. Bernstein; P. Cerejeiras; U. Kähler
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 323 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1220
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✦ Synopsis
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 the example of Abel‐Poisson wavelets. Copyright © 2009 John Wiley & Sons, Ltd.
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