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arXiv · 2002.03047

Decomposing the wavelet representation for shifts by wallpaper groups

Lawrence W. Baggett·Kathy D. Merrill·Judith A. Packer·Keith F. Taylor
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Abstract

The wavelet group and wavelet representation associated with shifts coming from a two dimensional crystal symmetry group $\Gamma$ and dilations by powers of 3, are defined and studied. The main result is an explicit decomposition of the $3\Gamma-$wavelet representation into irreducible representations of the wavelet group.

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Lawrence W. Baggett, Kathy D. Merrill, Judith A. Packer, Keith F. Taylor. 2020-02-07. Decomposing the wavelet representation for shifts by wallpaper groups. https://arxiv.org/abs/2002.03047

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