144 citations · 1.1k across the 203 of their papers we have counts for
9 papers · 1 filter
Localized bases in L^2(0,1) and their use in the analysis of Brownian motion
Palle E. T. Jorgensen, Anilesh Mohari
Motivated by problems on Brownian motion, we introduce a recursive scheme for a basis construction in the Hilbert space L^2(0,1) which is analogous to that of Haar and Walsh. More…
Oversampling generates super-wavelets
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We show that the second oversampling theorem for affine systems generates super-wavelets. These are frames generated by an affine structure on the space $L^2(\br)\oplus...\oplus L^…
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…