Abstract
An abstract formulation of 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 ℝn relative to an integral expansive matrix.
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Communicated by William Moran
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Baggett, L.W., Medina, H.A. & Merrill, K.D. Generalized multi-resolution analyses and a construction procedure for all wavelet sets in ℝn . The Journal of Fourier Analysis and Applications 5, 563–573 (1999). https://doi.org/10.1007/BF01257191
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DOI: https://doi.org/10.1007/BF01257191