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Fourier Decay for Homogeneous Self-affine Measures by Solomyak, Boris is a scholarly article available to read on EtoBox.

What is Fourier Decay for Homogeneous Self-affine Measures about?

We show that for Lebesgue almost all $d$-tuples $(\theta_1,\ldots,\theta_d)$, with $|\theta_j|>1$, any self-affine measure for a homogeneous non-degenerate iterated function system $\{Ax+a_j\}_{j=1}^m$ in ${\mathbb R}^d$, where $A^{-1}$ is a diagonal matrix with the entries $(\theta_1,\ldots,\theta_d)$, has power Fourier decay at infinity.

Author

Solomyak, Boris

Published

2021

Language

EN