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Название: Wavelet Transforms and Order-Two Densities of Fractals
Автор: Falconer K.J.
We highlight a correspondence between order-two densities and wavelet-like transforms of certain fractat measures. We use a variant of the ergodic theorem to demonstrate that these densities and transforms are well-behaved for a large class of quasi-self-similar fractals. We show that parallel ideas can be used to study the local behavior of certain fractal functions.