43 citations · 169 across the 17 of their papers we have counts for
11 papers · 1 filter
Sample Paths in Wavelet Theory
Palle E. T. Jorgensen
We consider a class of convergence questions for infinite products that arise in wavelet theory when the wavelet filters are more singular than is traditionally built into the assu…
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…
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…
Unitary matrix functions, wavelet algorithms, and structural properties of wavelets
Palle E. T. Jorgensen
Some connections between operator theory and wavelet analysis: Since the mid eighties, it has become clear that key tools in wavelet analysis rely crucially on operator theory. Whi…
Iterated function systems, representations, and Hilbert space
Palle E. T. Jorgensen
This paper studies a general class of Iterated Function Systems (IFS). No contractivity assumptions are made, other than the existence of some compact attractor. The possibility of…
Measures in wavelet decompositions
Palle E. T. Jorgensen
In applications, choices of orthonormal bases in Hilbert space H may come about from the simultaneous diagonalization of some specific abelian algebra of operators. It was noticed…