43 citations · 56 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
Wavelet filter functions, the matrix completion problem, and projective modules over
Judith A. Packer, Marc A. Rieffel
We discuss how one can use certain filters from signal processing to describe isomorphisms between certain projective -modules. Conversely, we show how cancellation…
A Direct Integral Decomposition of the Wavelet Representation
Lek-Heng Lim, Judith A. Packer, Keith F. Taylor
In this paper we use the concept of wavelet sets as introduced by X. Dai and D. Larson, to decompose the wavelet representation of the discrete group associated to an arbitrary $n…