A property of Pisot numbers and Fourier transforms of self-similar measures

DOI10.1007/s11425-012-4422-yzbMath1354.42008OpenAlexW2264743914MaRDI QIDQ1933983

Tian-You Hu

Publication date: 28 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-012-4422-y

zbMATH Keywords

Fourier transformrecurrence relationminimal polynomialPisot numberBernoulli convolutionself-similar measure

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (2)

Spectra of symmetric self-similar measures as multipliers in \(L^p\) ⋮ Limiting behavior of infinite products scaled by Pisot numbers

Cites Work

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• On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
• A remarkable class of algebraic integers. Proof of a conjecture of Vijayaraghavan
• Asymptotic behavior of Fourier transforms of self-similar measures
• Sampling Theory for Functions with Fractal Spectrum
• Arithmetic Properties of Bernoulli Convolutions

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