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Showing 1 to 1 of 1 for “"Self-similar measure"”.
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On the Fourier decay and the dimension of self-similar measures
… speed of the decay of the Fourier transform of self-similar measures on $\R$. An iterated function system (IFS) on $\R$ is a collection of maps $f_1, \dots, f_r$ with $f_i(x)=\lambda_i x+\tau_i$, where $|\lambda_i|<1$ and $\lambda_i, \tau_i \in \R$. The self-similar measure $\mu$ associated to …