27 citations · 61 across the 20 of their papers we have counts for
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math.FA2006★ 4 cited
The algebra of harmonic functions for a matrix-valued transfer operator
Dorin Ervin Dutkay, Kjetil Roysland
We analyze matrix-valued transfer operators. We prove that the fixed points of transfer operators form a finite dimensional -algebra. For matrix weights satisfying a low-pass…
math.CA2006★ 1 cited
Analysis of orthogonality and of orbits in affine iterated function systems
Dorin Ervin Dutkay, Palle E. T. Jorgensen
We introduce a duality for Affine Iterated Function Systems (AIFS) which is naturally motivated by group duality in the context of traditional harmonic analysis. Our affine systems…
math.FA2006★ 2 cited
Fourier frequencies in affine iterated function systems
Dorin E. Dutkay, Palle E. T. Jorgensen
We examine two questions regarding Fourier frequencies for a class of iterated function systems (IFS). These are iteration limits arising from a fixed finite families of affine and…