43 citations · 92 across the 30 of their papers we have counts for
8 papers · 1 filter
Decomposing the wavelet representation for shifts by wallpaper groups
Lawrence W. Baggett, Kathy D. Merrill, Judith A. Packer +1
The wavelet group and wavelet representation associated with shifts coming from a two dimensional crystal symmetry group and dilations by powers of 3, are defined and studied.…
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…
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…
Projective multiresolution analyses for dilations in higher dimensions
Judith A. Packer
We continue the study of projective module wavelet frames corresponding to diagonal dilation matrices on with integer entries, focusing on the construction of a proje…
Applications of the work of Stone and von Neumann to wavelets
Judith A. Packer
This survey paper examines the work of J. von Neumann and M.H. Stone as it relates to the abstract theory of wavelets. In particular, we discuss the direct integral theory of von N…
Projective multiresolution analyses for
Judith A. Packer, Marc A. Rieffel
We define the notion of "projective" multiresolution analyses, for which, by definition, the initial space corresponds to a finitely generated projective module over the algebra $C…