43 citations · 185 across the 27 of their papers we have counts for
4 papers · 1 filter
Duality questions for operators, spectrum and measures
Dorim Ervin Dutkay, Palle E. T. Jorgensen
We explore spectral duality in the context of measures in $\br^n$, starting with partial differential operators and Fuglede's question (1974) about the relationship between orthogo…
Probability and Fourier duality for affine iterated function systems
Dorin Ervin Dutkay, Palle Jorgensen
Let be a positive integer, and let be a finite measure on $\br^d$. In this paper we ask when it is possible to find a subset in $\br^d$ such that the corresponding comp…
Applications of Automata and Graphs: Labeling-Operators in Hilbert Space I
Ilwoo Cho, Palle E. T. Jorgensen
We show that certain representations of graphs by operators on Hilbert space have uses in signal processing and in symbolic dynamics. Our main result is that graphs built on automa…
Spectral Theory for Discrete Lapacians
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We give the spectral representation for a class of selfadjoint discrete graph Laplacians , with depending on a chosen graph and a conductance function defined on the…