Spectrality of self-similar tiles (Q896995)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectrality of self-similar tiles |
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Spectrality of self-similar tiles (English)
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16 December 2015
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A set \(K\subset {\mathbb R}\) of positive Lebesgue measure is called spectral set if there exists a countable set \(\Lambda\subset {\mathbb R}\) such that \(\{e^{2\pi i\lambda x}: \lambda\in\Lambda\}\) is an orthonormal basis for \(L^{2}(K)\). The authors study the spectral property of self-similar tiles on \({\mathbb R}\).
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product-form
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spectral set
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self-similar tile
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