20 citations · 22 across the 5 of their papers we have counts for
7 papers
Hadamard triples generate self-affine spectral measures
Dorin Dutkay, John Haussermann, Chun-Kit Lai
Let be an expanding matrix with integer entries and let be finite integer digit sets so that form a Hadamard triple on ${\br}^d$ in the sense that the matrix $$…
Hadamard triples generate self-affine spectral measures
Dorin Ervin Dutkay, Chun-Kit Lai, John Haussermann
Let be an expanding matrix with integer entries and let be finite integer digit sets so that form a Hadamard triple on ${\br}^d$. We prove that the associated s…
Number theory problems from the harmonic analysis of a fractal
Dorin Ervin Dutkay, John Haussermann
We study some number theory problems related to the harmonic analysis (Fourier bases) of the Cantor set introduced by Jorgensen and Pedersen in \cite{JP98}.
Spectral Properties of Small Hadamard Matrices
Dorin Ervin Dutkay, Eric Weber, John Haussermann
We prove that if and are Hadamard matrices which are both of size or and in dephased form, then implies that and have the…
Atomic representations of Cuntz algebras
Dorin Ervin Dutkay, John Haussermann, Palle E. T. Jorgensen
To a representation of (the Cuntz algebra with generators) we associate a projection valued measure and we study the case when this measure has atoms. The main technical…
Local translations associated to spectral sets
Dorin Ervin Dutkay, John Haussermann
In connection to the Fuglede conjecture, we study groups of local translations associated to spectral sets, i.e., measurable sets in $\br$ or $\bz$ that have an orthogonal basis of…
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…