Crystallographic Multiwavelets in $L^2(R^d)$
Classical Analysis and ODEs
2016-10-31 v1
Abstract
We characterize the scaling function of a crystal Multiresolution Analysis in terms of the vector-scaling function for a Multiresolution Analysis associated to a lattice. We give necessary and sufficient conditions in terms of the symbol matrix in order that an associated crystal wavelet basis exists.
Keywords
Cite
@article{arxiv.1610.09019,
title = {Crystallographic Multiwavelets in $L^2(R^d)$},
author = {Ursula Molter and Alejandro Quintero},
journal= {arXiv preprint arXiv:1610.09019},
year = {2016}
}