Biorthogonal wavelets, MRA's and shift-invariant spaces
Volume 160 / 2004
Studia Mathematica 160 (2004), 231-248
MSC: Primary 42C40.
DOI: 10.4064/sm160-3-3
Abstract
We give a characterization of biorthogonal wavelets arising from MRA's of multiplicity $D$ entirely in terms of the dimension function. This improves the previous characterization in [8] removing an unnecessary angle condition. Besides we characterize Riesz wavelets arising from MRA's, and present new proofs based on shift-invariant space theory, generalizing the 1-dimensional results appearing in [17].
