Symmetries in projective multiresolution analyses
Functional Analysis
2007-09-27 v1
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.
Cite
@article{arxiv.0709.4122,
title = {Symmetries in projective multiresolution analyses},
author = {Kjetil Røysland},
journal= {arXiv preprint arXiv:0709.4122},
year = {2007}
}