43 citations · 185 across the 27 of their papers we have counts for
6 papers · 1 filter
C*-Algebras Generated by Partial Isometries
Ilwoo Cho, Palle E. T. Jorgensen
In this paper, we characterize the C*-Algebra generated by partial isometries.
Optimal Decompositions of Translations of -functions
Palle E. T. Jorgensen, Myung-Sin Song
In this paper we offer a computational approach to the spectral function for a finite family of commuting operators, and give applications. Motivated by questions in wavelets and i…
Quasiperiodic Spectra and Orthogonality for Iterated Function System Measures
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We extend classical basis constructions from Fourier analysis to attractors for affine iterated function systems (IFSs). This is of interest since these attractors have fractal fea…
Fourier series on fractals: a parallel with wavelet theory
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We study orthogonality relations for Fourier frequencies and complex exponentials in Hilbert spaces with measures arising from iterated function systems (IFS). This in…
Affine systems: asymptotics at infinity for fractal measures
Palle E. T. Jorgensen, Keri A. Kornelson, Karen L. Shuman
We study measures on which are induced by a class of infinite and recursive iterations in symbolic dynamics. Beginning with a finite set of data, we analyze prescrib…
Unitary Representations of Wavelet Groups and Encoding of Iterated Function Systems in Solenoids
Dorin Ervin Dutkay, Palle E. T. Jorgensen, Gabriel Picioroaga
For points in real dimensions, we introduce a geometry for general digit sets. We introduce a positional number system where the basis for our representation is a fixed by…