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Topological measures, image transformations and self-similar sets

✍ Scribed by Johan F. Aarnes; Ørjan Johansen; Alf B. Rustad


Publisher
Akadmiai Kiad
Year
2005
Tongue
English
Weight
280 KB
Volume
109
Category
Article
ISSN
1588-2632

No coin nor oath required. For personal study only.


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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.