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Fourier asymptotics of statistically self-similar measures

✍ Scribed by Christian Bluhm


Publisher
SP Birkhäuser Verlag Boston
Year
1999
Tongue
English
Weight
397 KB
Volume
5
Category
Article
ISSN
1069-5869

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📜 SIMILAR VOLUMES


Large-Scale Renormalisation of Fourier T
✍ Matthias Holschneider 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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.