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arXiv · 2005.01801

Wavelet sets for crystallographic groups

Kathy D. Merrill
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Abstract

Single wavelet sets, and thus single wavelets, are shown to exist for the actions of all crystallographic groups on $\mathbb R^2$ under all integer dilations. Examples of such sets satisfying the additional requirement that they are finite unions of convex sets are presented for each of the groups under dilation by two.

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Kathy D. Merrill. 2020-05-04. Wavelet sets for crystallographic groups. https://arxiv.org/abs/2005.01801

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