On Riesz wavelets associated with multiresolution analyses
The authors obtain some properties that Riesz wavelets and the corresponding scaling functions should satisfy in order that the Riesz wavelets be associated with multiresolution analyses (MRA's). They are given in terms of low/high pass filters and in terms of the Fourier transform by using a necessary and sufficient condition for the sum of two principal shift invariant spaces to be closed. These properties are used to obtain new characterizations of Riesz wavelets associated with MRA's.
scientific article; zbMATH DE number 1891396
scientific article