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Fourier transformation and singular integrals on self-similar measure

✍ Scribed by Wu Baoyi; Su Weiyi

Publisher
Springer
Year
1998
Tongue
English
Weight
389 KB
Volume
14
Category
Article
ISSN
1573-8175

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πŸ“œ SIMILAR VOLUMES

Large-Scale Renormalisation of Fourier T
Large-Scale Renormalisation of Fourier Transforms of Self-Similar Measures and Self-Similarity of Riesz Measures
✍ Matthias Holschneider πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 128 KB

We shall show that the oscillations observed by R. S. Strichartz in the Fourier transforms of self-similar measures have a large-scale renormalisation given by a Riesz measure. Vice versa the Riesz measure itself will be shown to be self-similar around every triadic point.