43 citations · 56 across the 6 of their papers we have counts for
8 papers
A non-MRA frame wavelet with rapid decay
Lawrence Baggett, Palle Jorgensen, Kathy Merrill +1
A generalized filter construction is used to build an example of a non-MRA normalized tight frame wavelet for dilation by 2 in . This example has the same multiplic…
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…
Construction of Parseval wavelets from redundant filter systems
L. W. Baggett, P. E. T. Jorgensen, K. D. Merrill +1
We consider wavelets in L^2(R^d) which have generalized multiresolutions. This means that the initial resolution subspace V_0 in L^2(R^d) is not singly generated. As a result, the…
An analogue of Bratteli-Jorgensen loop group actions for GMRA's
L. W. Baggett, P. E. T. Jorgensen, K. D. Merrill +1
Several years ago, O. Bratelli and P. Jorgensen developed the concept of m-systems of filters for dilation by a positive integer N>1 on L^2(R). They constructed a loop group action…
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…