27 citations · 52 across the 14 of their papers we have counts for
4 papers · 2 filters
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…
Parseval frames for ICC groups
Dorin Ervin Dutkay, Deguang Han, Gabriel Picioroaga
We analyze Parseval frames generated by the action of an ICC group on a Hilbert space. We parametrize the set of all such Parseval frames by operators in the commutant of the corre…
On the spectra of a Cantor measure
Dorin Ervin Dutkay, Deguang Han, Qiyu Sun
We analyze all orthonormal bases of exponentials on the Cantor set defined by Jorgensen and Pedersen in J. Anal. Math. 75,1998, pp 185-228. A complete characterization for all maxi…