ABSTRACT. An abstract formulation t~'generalized multiresolution analyses is presented, and those GMRAs that come from multiwavelets are characterized. As an application of this abstract formulation a constructive procedure is developed, which produces all wavelet sets in Nn relative to an integral expansive matrix.
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Abstract. Two results are obtained about the topological size of the set of irrationals for which a given function is a trivial cocycle. An example of a continuous function which is a coboundary with non-L 1 cobounding function is constructed.
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