192 citations
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math.FA2008★ 6 cited
Direct limits, multiresolution analyses, and wavelets
Lawrence W. Baggett, Nadia S. Larsen, Judith A. Packer +2
A multiresolution analysis for a Hilbert space realizes the Hilbert space as the direct limit of an increasing sequence of closed subspaces. In a previous paper, we showed how, con…
math.FA2007
Generalized multiresolution analyses with given multiplicity functions
Lawrence W. Baggett, Nadia S. Larsen, Kathy D. Merrill +2
Generalized multiresolution analyses are increasing sequences of subspaces of a Hilbert space $\H$ that fail to be multiresolution analyses in the sense of wavelet theory because t…