Plonka-Hoch, GerlindGerlindPlonka-HochStrela, VasilyVasilyStrelaDaehlen, MortenLyche, TomSchumaker, Larry. L.2017-09-072017-09-071998https://resolver.sub.uni-goettingen.de/purl?gro-2/3421This paper gives an overview of recent achievements of the multiwavelet theory. The construction of multiwavelets is based on a multiresolution analysis with higher multiplicity generated by a scaling vector. The basic properties of scaling vectors such as L 2 -stability, approximation order and regularity are studied. Most of the proofs are sketched.enbook_chapter3145700