Large Scale Renormalisation of Fourier Transforms of Self-similar Measures and Self-similarity of Riesz Measures
نویسنده
چکیده
We shall show that the oscillations observed by Strichartz JRS92, Str90] in the Fourier transforms of self-similar measures have a large-scale renormali-sation given by a Riesz-measure. Vice versa the Riesz measure itself will be shown to be self-similar around every triadic point.
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