43 citations · 169 across the 17 of their papers we have counts for
4 papers · 1 filter
A family of measures associated with iterated function systems
Palle E. T. Jorgensen
Let be a compact metric space, and let an iterated function system (IFS) be given on , i.e., a finite set of continuous maps : , . The ma…
On C*-algebras generated by pairs of q-commuting isometries
Palle E. T. Jorgensen, Daniil P. Proskurin, Yurii S. Samoilenko
We consider the C*-algebras O_2^q and A_2^q generated, respectively, by isometries s_1, s_2 satisfying the relation s_1^* s_2 = q s_2 s_1^* with |q| < 1 (the deformed Cuntz relatio…
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…
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…