Multiwavelets: Some approximation-theoretic properties, sampling on the interval, and translation invariance.

Abstract

In this survey paper, some of the basic properties of multiwavelets are reviewed. Particular emphasis is given to approximation-theoretic issues and sampling on compact intervals. In addition, a translation invariant multiwavelet transform is discussed and the regularity and approximation order of the associated correlation matrices, which satisfy a particular matrix-valued refinement equation, are presented