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On Fourier-Stieltjes transforms of continuous measures

โœ Scribed by Ron C Blei


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
317 KB
Volume
26
Category
Article
ISSN
0022-1236

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Large-Scale Renormalisation of Fourier T
โœ Matthias Holschneider ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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.