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arxiv: 0710.3508 · v1 · submitted 2007-10-18 · 🧮 math.FA

Wavelet sets without groups

classification 🧮 math.FA
keywords setsgroupswaveletdilationexamplesconditionconstructionexist
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Most of the examples of wavelet sets are for dilation sets which are groups. We find a necessary and sufficient condition under which subspace wavelet sets exist for dilation sets of the form $A B$, which are not necessarily groups. We explain the construction by a few examples.

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