27 citations · 30 across the 4 of their papers we have counts for
4 papers
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…
The von Neumann Algebra of the Canonical Equivalence Relation of the Generalized Thompson Group
Dorin Dutkay, Gabriel Picioroaga
We study the equivalence relation generated by the (non-free) action of the generalized Thompson group on the unit interval. We show that this relation is a standard, q…
Wavelets on Fractals
Dorin E. Dutkay, Palle E. T. Jorgensen
We develop the theory of multiresolutions in the context of Hausdorff measure of fractional dimension between 0 and 1. While our fractal wavelet theory has points of similarity tha…