43 citations · 169 across the 17 of their papers we have counts for
5 papers · 1 filter
Use of operator algebras in the analysis of measures from wavelets and iterated function systems
Palle E. T. Jorgensen
In this paper, we show how a class of operators used in the analysis of measures from wavelets and iterated function systems may be understood from a special family of representati…
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…
Hilbert spaces built on a similarity and on dynamical renormalization
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We develop a Hilbert space framework for a number of general multi-scale problems from dynamics. The aim is to identify a spectral theory for a class of systems based on iterations…
Wavelet constructions in non-linear dynamics
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We construct certain Hilbert spaces associated with a class of non-linear dynamical systems X. These are systems which arise from a generalized self-similarity, and an iterated sub…