Multiwavelets on local fields of positive characteristic

Abstract

Multiwavelets have more freedom in their construction and thus can combine
more useful properties than the scalar wavelets. Symmetric scaling functions constructed have short support, generate an orthogonal MRA and provide approximation order 2. These properties are very desirable in many applications but cannot be achieved by one scaling function. In this paper we construct multiwavelets on local elds of positive characteristic. We also give their characterization by means of some basic equations in the frequency domain.