Fourier decay for homogeneous self-affine measures
Boris Solomyak
Bar-Ilan University, Ramat Gan, Israel
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Abstract
We show that for Lebesgue almost all -tuples , with , any self-affine measure for a homogeneous non-degenerate iterated function system in , where is a diagonal matrix with the entries , has power Fourier decay at infinity.
Cite this article
Boris Solomyak, Fourier decay for homogeneous self-affine measures. J. Fractal Geom. 9 (2022), no. 1/2, pp. 193–206
DOI 10.4171/JFG/119