In-homogenous self-similar measures and their Fourier transforms

DOI10.1017/S0305004107000771zbMath1146.28005OpenAlexW2152028766MaRDI QIDQ3503698

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Publication date: 9 June 2008

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

Full work available at URL: https://doi.org/10.1017/s0305004107000771

zbMATH Keywords

convolutionsFourier transforms of measuresnonlinear self-similar measures

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80)

Related Items (8)

Teichmüller space for iterated function systems ⋮ On the Fourier transforms of inhomogeneous self-similar measures ⋮ On the \(L^q\) spectra of in-homogeneous self-similar measures ⋮ Invariant idempotent measures ⋮ On the Fourier transforms of nonlinear self-similar measures ⋮ The lower Fourier dimensions of in-homogeneous self-similar measures ⋮ The \(L^q\) spectra and Rényi dimension of generalized inhomogeneous self-similar measures ⋮ The box dimensions of inhomogeneous self-conformal sets with overlaps

Cites Work

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• Fourier asymptotics of fractal measures
• Mean quadratic variations and Fourier asymptotics of self-similar measures
• Fourier asymptotics of statistically self-similar measures
• Fractal measures and mean \(p\)-variations
• Asymptotic behavior of Fourier transforms of self-similar measures
• Self-Similar Measures and Their Fourier Transforms. II
• Fourier asymptotics of Cantor type measures at infinity
• Nonlinear self-similar measures and their Fourier transforms

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