S. Pedersen

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19992002

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math.FA1999

Orthogonal harmonic analysis and scaling of fractal measures

Palle E. T. Jorgensen, Steen Pedersen

We show that certain iteration systems lead to fractal measures admitting exact orthogonal harmonic analysis.

math.FA1999

Spectral pairs in Cartesian coordinates

Palle E. T. Jorgensen, Steen Pedersen

Let $Ω \subset R^{d}$ have finite positive Lebesgue measure, and let $L^{2} (Ω)$ be the corresponding Hilbert space of $L^{2}$ -functions on $Ω$ . We shall con…