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arXiv · 0709.4122

Symmetries in projective multiresolution analyses

Kjetil Røysland
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Abstract

We give an equivariant version of Packer and Rieffel's theorem on sufficient conditions for the existence of orthonormal wavelets in projective multiresolution analyses. The scaling functions that generate a projective multiresolution analysis are supposed to be invariant with respect to some finite group action. We give sufficient conditions for the existence of wavelets with similar invariance.

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Kjetil Røysland. 2007-09-26. Symmetries in projective multiresolution analyses. https://arxiv.org/abs/0709.4122

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