27 citations · 66 across the 26 of their papers we have counts for
4 papers · 2 filters
Orthonormal bases generated by Cuntz algebras
Dorin Ervin Dutkay, Gabriel Picioroaga, Myung-Sin Song
We show how some orthonormal bases can be generated by representations of the Cuntz algebra; these include Fourier bases on fractal measures, generalized Walsh bases on the unit in…
Tiling properties of spectra of measures
Dorin Ervin Dutkay, John Haussermann
We investigate tiling properties of spectra of measures, i.e., sets in $\br$ such that forms an orthogonal basis in , where is some finite B…
Spectra of measures and wandering vectors
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We present a characterization of the sets that appear as Fourier spectra of measures in terms of the existence of a strongly continuous representation of the ambient group that has…
On the universal tiling conjecture in dimension one
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We show that the spectral-tile implication in the Fuglede conjecture in dimension 1 is equivalent to a Universal Tiling Conjecture and also to similar forms of the same implication…