Compactly supported Parseval framelets with symmetry associated to matrices

@article{Antoln2018CompactlySP,
title={Compactly supported Parseval framelets with symmetry associated to matrices},
author={A. S. Antol{\'i}n and R. A. Zalik},
journal={Appl. Math. Comput.},
year={2018},
volume={325},
pages={179-190}
}

Abstract Let d ≥ 1. For any A ∈ Z d × d such that | det A | = 2 , we construct two families of Parseval wavelet frames with two generators. These generators have compact support, any desired number of vanishing moments, and any given degree of regularity. The first family is real valued while the second family is complex valued. To construct these families we use Daubechies low pass filters to obtain refinable functions, and adapt methods employed by Chui and He and Petukhov for dyadic… Expand