Fourier decay of self-similar measures and self-similar sets of uniqueness (Q2152582)
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scientific article; zbMATH DE number 7554580
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fourier decay of self-similar measures and self-similar sets of uniqueness |
scientific article; zbMATH DE number 7554580 |
Statements
Fourier decay of self-similar measures and self-similar sets of uniqueness (English)
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8 July 2022
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In this paper, quantitative decay rates of the Fourier transform of some self-similar measures are given. Moreover, all self-similar sets which are sets of uniqueness in Fourier analysis are identified. This extends the classical Salem-Zygmund theorem.
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Rajchman measure
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Fourier decay of self-similar measures
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sets of uniqueness
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digit changes
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