Fourier asymptotics of Cantor type measures at infinity

DOI10.1090/S0002-9939-02-06398-0zbMath1050.28007MaRDI QIDQ4330597

Ka-Sing Lau, Tian-You Hu

Publication date: 13 May 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Fourier transformCantor type measure

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (6)

The lower Fourier dimensions of in-homogeneous self-similar measures ⋮ In-homogenous self-similar measures and their Fourier transforms ⋮ Universal regularity of higher-dimensional disorder and density of states under non-local interactions. I: Infinite smoothness and localization ⋮ Limiting behavior of infinite products scaled by Pisot numbers ⋮ The Cantor function ⋮ Families of spectral sets for Bernoulli convolutions

Cites Work

• Fourier asymptotics of fractal measures
• Asymptotic behavior of multiperiodic functions \(G(x)=\prod_{n=1}^\infty g(x/2^n)\)
• Corrigendum of: ``Mean quadratic variations and Fourier asymptotics of self-similar measures
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